Podcasts about Mathematics

This week it is a huge pleasure to be able to bring you this cross-over episode with Kwame Sarfo-Mensah and his fantastic channel, #IdentityTalk4EducatorsLIVE (https://www.identitytalk4educators.com/podcast). Kwame's work is full of insights gained through his own practice as a maths teacher and educational coach and consultant, and through his over 200 conversations with amazing educators and leaders. Kwame Sarfo-Mensah is the founder of Identity Talk Consulting, LLC, a global educational consulting firm that specializes in developing K-12 teachers into identity-affirming educators. Additionally, Identity Talk Consulting, LLC is licensed as a DESE-approved professional development provider and a Minority Owned Enterprise within the Commonwealth for Massachusetts. Prior to starting his firm, he served as a middle school math teacher in Philadelphia, PA and Boston, MA for nine years. Kwame holds a Bachelor's Degree in Mathematics and a Master's Degree in Elementary Education from Temple University.As a staunch ambassador and advocate for teacher empowerment, Kwame has spoken at numerous national education conferences and worked diligently to support the recruitment and retention of teachers of colour in the education system. In January 2019, he was one of 35 Massachusetts teachers of colour selected by Commissioner Jeff Riley to be in the inaugural cohort of the InSPIRED (In-Service Professionals Increasing Racial and Ethnic Diversity) Fellowship, an initiative organized by the Massachusetts Department of Elementary & Secondary Education (DESE) for veteran teachers of colour to recruit students of colour at the high school, undergraduate, and graduate levels to teach in targeted districts within the Commonwealth of Massachusetts. As an InSPIRED Teaching Fellow, he facilitated professional development workshops for aspiring teachers at universities such as Boston College, UMass Boston, and Worcester State University and has served as a guest speaker for non-profit teacher pipeline programs such as Teach Western Mass, Generation Teach and Worcester Public Schools' Future Teachers Academy.Throughout his 17-year education career as a classroom teacher, author, and consultant, Kwame has earned numerous accolades for this work, which include being honored as the 2019 National Member of the Year by Black Educators Rock, Inc. and being recognized as a Top Education Influencer by brightbeam, Inc. in 2021 and 2022. His work has been featured in Education Week, WGBH News, Edutopia, Ed Post, The International Educator (TIE), Teaching Channel, and The Tavis Smiley Show. His latest book, "Learning to Relearn: Supporting Identity in a Culturally Affirming Classroom" (https://learning2relearn.com/), received the 2025 IPPY Awards Gold Medal for Education (https://ippyawards.com/blog/2025-medalists-categories-35-65) and the 2024 Foreword INDIES Award for Education Book of the Year (https://www.forewordreviews.com/awards/finalists/2024/education/)! Kwame has also authored 'From "Inaction" to "In Action": Creating a New Normal for Urban Educators' (2020) and 'Shaping the Teacher Identity: 8 Lessons That Will Help Define the Teacher in You' (2018).Connect with Kwame: https://www.identitytalk4educators.com/https://www.linkedin.com/in/kwame-sarfo-mensah/https://www.instagram.com/kwam_the_identity_shaper/

Send us a textHow brains compute and learn, blending neuroscience with AI insights.Episode Summary: Dr. Marius Pachitariu discusses how the brain computes information across scales, from single neurons to complex networks, using mice to study visual learning. He explains the differences between supervised and unsupervised learning, the brain's high-dimensional processing, and how it compares to artificial neural networks like large language models. The conversation also covers experimental techniques, such as calcium imaging, and the role of reward prediction errors in learning.About the guest: Marius Pachitariu, PhD is a group leader at the Janelia Research Campus, leading a lab focused on neuroscience with a blend of experimental and computational approaches.Discussion Points:The brain operates at multiple scales, with single neurons acting as computational units and networks creating complex, high-dimensional computations.Pachitariu's lab uses advanced tools like calcium imaging to record from tens of thousands of neurons simultaneously in mice.Unsupervised learning allows mice to form visual memories of environments without rewards, speeding up task learning later.Brain activity during sleep or anesthesia is highly correlated, unlike the high-dimensional, less predictable patterns during wakefulness.The brain expands sensory input dimensionality (e.g., from retina to visual cortex) to simplify complex computations, a principle also seen in artificial neural networks.Reward prediction errors, driven by dopamine, signal when expectations are violated, aiding learning by updating internal models.Large language models rely on self-supervised learning, predicting next words, but lack the forward-modeling reasoning humans excel at.Related episode:M&M 44: Consciousness, Perception, Hallucinations, Selfhood, Neuroscience, Psychedelics & "Being You" | Anil Seth*Not medical advice.Support the showAll episodes, show notes, transcripts, and more at the M&M Substack Affiliates: KetoCitra—Ketone body BHB + potassium, calcium & magnesium, formulated with kidney health in mind. Use code MIND20 for 20% off any subscription (cancel anytime) Lumen device to optimize your metabolism for weight loss or athletic performance. Code MIND for 10% off Readwise: Organize and share what you read. 60 days FREE through link SiPhox Health—Affordable at-home blood testing. Key health markers, visualized & explained. Code TRIKOMES for a 20% discount. MASA Chips—delicious tortilla chips made from organic corn & grass-fed beef tallow. No seed oils or artificial ingredients. Code MIND for 20% off For all the ways you can support my efforts

The capabilities of artificial intelligence may appear to be galloping ahead, but there are still many challenges that need to be solved. Last month we joined members of the Maths4DL research project for a hackathon — an intensive two-day brainstorming session designed to figure out how one might teach machine learning techniques for solving differential equations and how best to test those techniques. In this episode of Maths on the Move, Maths4DL members Yolanne Lee from University College London, Georg Maierhofer from the University of Cambridge, and Chris Budd OBE from the University of Bath tell us all about the hackathon, the science behind it, and what it was like to participate in those ambitious but exciting 48 hours. For a brief introduction to machine learning see Maths in a minute: Machine learning and neural networks and for a brief introduction to differential equations see Maths in a minute: Differential equations. You might also like: Our podcast featuring Yolanne Lee talking about her work as a Maths4DL researcher, Our podcast featuring Georg Maierhofer talking about physics informed neural networks, as well as the accompanying article, Our article AI and GoPro physics featuring the work of Nathan Kutz who is mentioned in this podcast. This content is part of our collaboration with the Mathematics for Deep Learning (Maths4DL) research programme, which brings together researchers from the universities of Bath and Cambridge, and University College London. Maths4DL aims to combine theory, modelling, data and computation to unlock the next generation of deep learning. You can see more content produced with Maths4DL here.

Ben Hogan, who was arguably the greatest ball striker the game of golf has ever known, taught that if you wanted to improve your swing you should focus on the cause rather than the result.  This was good advice for golfers and brilliant advice for sales professionals. Because in sales, if you want to sell more it pays to become obsessed over your behaviors, techniques and processes rather than your outcomes.  Most Sellers Obsess Over Outcomes Most salespeople are focused on winning or losing individual deals. They get emotionally wrapped up in every prospect, every conversation, every close attempt. When they win, they're on top of the world. When they lose, they're devastated. But top performers? They think completely differently. They're not obsessed with any single deal. They're obsessed with the process that creates consistent results over time. This mindset shift is the difference between feast-or-famine selling and predictable, sustainable success. The Downside of Outcome Based Sales Goals Here's what happens when you're obsessed with outcomes instead of process: Every deal, every month, every quarter becomes life or death. You put all your emotional energy into individual prospects and hitting numbers which clouds your judgment and makes you act desperate. You take rejection personally. When someone says no, it's not just a business decision – it feels like a personal attack on your worth as a salesperson. You make poor decisions under pressure. When you need a deal to close to hit your number, you start discounting too early, chasing bad prospects, or making promises you can't keep. Your performance becomes inconsistent. You have great months followed by terrible months because you're riding the emotional roller coaster of individual wins and losses. You burn out faster. The constant emotional highs and lows are exhausting and unsustainable. Shift to Process Goals Process goals are different. They focus on the activities and behaviors you can directly control, not the outcomes that depend on factors outside your influence. Instead of "I need to close three deals this month," a process goal is "I will make 50 prospecting calls every day." Instead of "I have to win the Johnson account," it's "I will have four meaningful touch points with stakeholders at Johnson this week." Instead of "I need to hit 120% of quota," it's "I will follow my proven sales methodology on every single opportunity." Process goals put you in control. You can't control whether a prospect buys, but you can control how many prospects you contact, how well you qualify them, and how consistently you follow your process. Why Top Performers Love Process Goals Create predictable results. When you focus on the right activities consistently, the outcomes take care of themselves. It's like compound interest – small, consistent actions create massive results over time. Reduce emotional volatility. You're not devastated by individual losses because you know that if you stick to your process, the wins will come. Improve decision-making. When you're not desperate for any particular deal, you make better strategic decisions about where to invest your time and energy. Build confidence. Every day you hit your process goals, you build momentum and confidence, regardless of whether deals close that day. Create sustainable habits. Process goals turn success behaviors into automatic habits rather than things you do when you feel motivated. The Mathematics of Sales Process Goals Here's why process goals work: Sales is a numbers game, but most people focus on the wrong numbers. Average performers focus on: How many deals they close The size of individual deals Their closing percentage on active opportunities Top performers focus on: How many new prospects they contact daily How many discovery calls they conduct weekly How many proposals they deliver monthly

What if finding equivalence between fractions, decimals, and precents wasn't just a task for students to do, but a tool making them more efficient in rational number computations? In this episode Pam and Kim talk about code switching with rational numbers to make complex problems more figure-out-able.Talking Points:What is code switching in rational numbers?A Problem String using equivalence to think about multiplicationTasks that use equivalency to solve problems rather than just practicing conversionsSee episode 219 for learning about finding the mean: https://www.buzzsprout.com/1062400/episodes/15561786Check out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

Peter Whalen is a game designer and creative lead known for his work at the intersection of strategy, storytelling, and competitive play. After graduating from Princeton with a degree in Mathematics, he earned his doctorate in algorithms at Georgia Tech. He then began his career in video games, first at Blizzard, where he was a senior designer on Hearthstone. He then moved to Riot Games, where he now serves as the Game Director for Teamfight Tactics, Riot's ambitious chess-like game set in the world of League of Legends. With a deep background in systems design and a love for games that reward smart, skilful play, he's helped shape some of the most beloved and finely tuned experiences in digital card gaming and beyond.Become a My Perfect Console supporter and receive a range of benefits at www.patreon.com/myperfectconsole Hosted on Acast. See acast.com/privacy for more information.

In this episode of Room to Grow, Joanie and Curtis continue the season 5 series on the Mathematics Teaching Practices from NCTM's Principles to Actions, celebrating it's 10th anniversary. This month's practice is “Pose Purposeful Questions.” This is defined as follows:Effective teaching of mathematics uses purposeful questions to assess and advance students' reasoning and sense making about important mathematical ideas and relationships. In unpacking this definition, our hosts key in on the importance of planning for questions during instruction to ensure that they are purposeful. They discuss how purposeful questions can assess student thinking by giving teacher insight to how students are reasoning about the mathematics. This might include asking a follow-up question even when a student provides a correct answer! They also consider advancing questions, that take students' current thinking and move it beyond where they are to deeper understanding of important mathematics. With intentional and careful planning of questions, teachers can provide insight to students about what aspects of the math are most important, and encourage them to use and value their own thinking on the journey of learning math.Additional referenced content includes:·       NCTM's Principles to Actions·       NCTM's Taking Action series for grades K-5, grades 6-8, and grades 9-12·       MTLT article Planning and Implementing Effective Questioning (membership required)·       (additional articles from CCTM book study Chapter 5) Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy. 

Mathematics education never stands still. After a decade of classroom implementation, research advances, and teacher feedback, CPM Educational Program has reimagined their middle school curriculum for today's learning environments.In this enlightening conversation with Tony Jones (Managing Editor) and Karen Wootton (Director of Curriculum Assessment), we explore how the third edition of CPM's Core Connections middle school courses brings cutting-edge teaching practices directly into mathematics classrooms. This isn't merely an update – it's a thoughtful integration of proven strategies that transform how students engage with mathematical concepts.The new edition incorporates Building Thinking Classrooms principles through vertical non-permanent surfaces where students work collaboratively while standing, making their mathematical thinking visible to everyone. Daily randomized teams ensure students experience diverse perspectives, while streamlined one-day lesson structures maintain coherent mathematical storylines despite changing group dynamics.Teachers will appreciate the addition of structured "door questions" to immediately engage students, brief "launches" that activate mathematical thinking, and reflection journals that deepen student understanding. Meanwhile, beloved problem contexts like the "jumping frogs of Calaveras County" and "algebra walk" remain intact, preserving what has made CPM distinctive while updating content to ensure all students see themselves reflected in the curriculum.Beyond pedagogical enhancements, the team carefully analyzed and adjusted content alignment with current standards frameworks, rebalanced major and supporting work clusters, and completely refreshed the physical design with new illustrations, fonts, and spiral-bound teacher materials for improved usability.Discover how this curriculum evolution honors what works while embracing what's next in mathematics education. Whether you're a current CPM teacher or simply curious about how curriculum can respond to research advances, this conversation offers valuable insights into thoughtful educational design.Ready to explore how the third edition might transform your mathematics classroom? Visit support.cpm.org or check out the materials at CPM's booth at an upcoming mathematics conference.Send Joel and Misty a message!The More Math for More People Podcast is produced by CPM Educational Program. Learn more at CPM.orgX: @cpmmathFacebook: CPMEducationalProgramEmail: cpmpodcast@cpm.org

From the boardrooms of Google X to the depths of unimaginable grief, Mo Gawdat's journey defies every conventional narrative about success and loss. The former Chief Business Officer, who helped launch Google's operations across half the planet, lost his son Ali in 2014 to a routine operation gone wrong – a tragedy that could have broken him forever. Instead, it became the catalyst for an extraordinary mission: to make one billion people happier.Armed with a mathematician's mind and a mystic's heart, Mo has transformed personal devastation into global purpose. He spent 12 years researching happiness with his son Ali and created a formula that now underpins his bestselling books – Solve for Happy, Scary Smart, and That Little Voice in Your Head – as well as the #OneBillionHappy movement, which has already reached nearly 100 million people. His podcast Slo Mo is a regular #1 Mental Health show in the UK.Whether he's advising governments on tech ethics, writing about AI's sentience in real time, or helping people engineer their way out of despair, Mo is living proof that happiness isn't just wishful thinking – it's a learnable, repeatable skill that can reshape the way you live your life.LESSONS YOU'LL LEARNDeath is transformation, not termination. Mo's mathematical approach to consciousness reveals that our physical form is just an avatar – the real you exists beyond space and time.Emotions are visitors, not residents. Feel them, acknowledge them, embrace them – then ask what action you can take. Wallowing in misery brings no one back and helps no one forward.Follow the happiness flow chart. Three questions can take you from despair to clarity in seven seconds: Is this thought true? Can I fix it? If not, can I accept it and make tomorrow better?Pride is pointless, gratitude is everything. When you recognise how much of your success came from blessings beyond your control, humility becomes your superpower and service becomes your calling.Your crisis is not your conclusion. The worst moment of Mo's life became the launching pad for the most meaningful work he's ever done – proving that rock bottom can be the foundation for everything that comes next.----Host: Andy CoulsonCWC team: Jane Sankey, Hana Walker-Brown, Mabel Pickering and Rex FisherWith special thanks to Ioana Barbu and the brilliant people at GlobalFor all PR and guest approaches please contact – podcast@coulsonpartners.com

The good, the bad, and the beautifulWhat is beauty? Why are we so drawn to it? And should we be - or is it a distraction?The philosophy of aesthetics and beauty has a long and fascinating history. Over the millennia, while we mostly agree on the essential nature of this ephemeral thing, "beauty", we disagree on the reasons why it is important, on its very definition, and sometimes if we should value it at all. Join our four diverse speakers - Nietzschean philosopher Babette Babich, mathematician Paul Ernest, Professor of English and World Literatures Ankhi Mukherjee, and journalist and best-selling author Sarah Wilson - as they dive into the notion of beauty and, mostly, defend it from their different perspectives. What do you think - how important is beauty? Email us at podcast@iai.tv with your thoughts or questions on the episode!To witness such topics discussed live buy tickets for our upcoming festival: https://howthelightgetsin.org/festivals/And visit our website for many more articles, videos, and podcasts like this one: https://iai.tv/You can find everything we referenced here: https://linktr.ee/philosophyforourtimesSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

On Harvey Mudd College Week: It takes time to read a lot of information, and what if you need it fast? Xanda Schofield, assistant professor of computer science, looks beyond AI. Xanda Schofield is an Assistant Professor in Computer Science at Harvey Mudd College. She completed her B.S. in Computer Science and Mathematics at Harvey […]

GB2RS News Sunday, the 22nd of June 2025 The news headlines: Introducing the RSGB's team of young radio amateurs for YOTA Paris The RSGB celebrates International Women in Engineering Day The RSGB Exam Standards Committee publishes its annual report The RSGB has announced the team of young members who will be representing the Society at this summer's Youngsters on the Air camp. The event, hosted by the French national amateur radio society and the IARU, will take place at the historic Château de Jambville near Paris between August 18th and 25th. The team is comprised of team leader Leon, 2E0VUF, and team members Sophie, M7IJG, and Emily, M7HPU. You can read more about the camp and the team on the RSGB website at rsgb.org/yota-camp The RSGB knows that amateur radio is a great foundation for careers in Science, Technology, Engineering and Mathematics, or STEM as it is often known. That's why, for International Women in Engineering Day tomorrow, Monday the 23rd of June, the Society is sharing stories of female radio amateurs involved with STEM. From a young radio amateur who was inspired by an ARISS contact, through to a Professional Transmitting Engineer at Woofferton Transmitting Station, each one of them has a love for amateur radio and STEM activities and the career opportunities they present. Read more about them on the RSGB website at rsgb.org/inwed. The Society will also be sharing the profiles on its X and Facebook pages throughout the day tomorrow, the 23rd. Get involved by liking and sharing these motivational stories. The RSGB Examinations Standards Committee, or ESC, has published its annual report, relating to activities in 2024. The report shows that overall candidate numbers have increased to above pre-pandemic levels and are well above the extrapolation of the declining trend over the decade before the pandemic. The ESC believes that this is probably due to the availability of remote invigilation for online examinations taken at home and the increase in provision of distance learning courses, making the hobby much more accessible than in the past. You can read the full report on the RSGB website by going to rsgb.org/esc  and choosing the ‘Minutes, papers and reports' option in the right-hand menu. Whether you are just starting to learn Morse code or are already an experienced operator, the GB2RS Morse Practice web page is just what you need to brush up on your skills! Created by GB2RS Newsreader Graham, G4JBD, you can select different sections of the latest RSGB news, which are then played in Morse code at the pitch and speed of your choosing. What makes this resource unique is that you can also add in different degrees of man-made noise and natural band noise, which gives you a very realistic experience of copying Morse code under poor propagation or contest conditions. Graham has recently updated the page with more options. One of these is the Farnsworth timing, which can play the individual characters at a selectable speed while allowing separate adjustment of the gap between the characters. The new version works well on smartphones and displays the text with a real-time pointer as the Morse code is sent. The GB2RS Morse Practice page can be found at tinyurl.com/gb2rsmorse Bath Based Distance Learning's next Full licence course runs from August to December, with exams in January. There is no charge for the training, but applicants must work through some pre-course material and complete a quiz to be eligible for a place. To request full details and an application form, email Bath Based Distance Learning's Team Leader, Steve, G0FUW via g0fuw@bbdl.org.uk           The next in the popular 145 Alive series will take place on Sunday, the 20th of July. The event will run from 12 pm to 3 pm. There will be nets on the 2m band operating in most Maidenhead Squares across England, Scotland, Wales and Ireland. To take part on the day, all you need to do is call into a local net and make contact with others. The organisers are looking for more net controllers. If you are interested, email 145aliveuk@gmail.com. You can find more information, including details of the nets, the operators, their locations and operating frequencies on the 145 Alive Events Facebook page. Today, the 22nd,  is the last chance to take part in Gateways on the Air 2025. Whether you're a seasoned operator or just love the thrill of the chase, Gateways on the Air is your invitation to step outside, power up your gear, and connect via simplex gateways from a park bench, hillside, or anywhere that captures your sense of adventure. To find out more, visit gota.org.uk Don't forget to listen out for all the amateur stations that will be on the air during Museums on the Air today, the 22nd. Remember that the fun doesn't stop today as the event continues on Saturday, the 28th and Sunday, the 29th of June. For more information, visit tinyurl.com/IMOTA2025 And now for details of rallies and events The Cornish Radio Amateur Club Rally will take place on Sunday, the 29th of June at Penair School, St. Clement, Truro, TR1 1TN. The doors open at 10.30 am. For more information, contact Ken, G0FIC on 01209 821 073. Saffron Walden Radio Ham and CB Club Rally will take place from the 4th to the 6th of July. The venue will be Lovecotes Farm, Chickney Road, Henham Village, Bishop's Stortford, CM22 6BH. You can camp on the field from Friday to Sunday and have a table at a cost of £15. If you are camping, you can arrive from 6 pm on Friday. To book a camping pitch or arrange tables, email g8swr1.5@gmail.com Barford Norfolk Radio Rally will take place on the 6th of July at Barford Village Hall and Green, Barford, Norwich, NR9 4AB. The doors open at 9 am for visitors. The event features trade stands, car boot sales, bring and buy, a charity raffle, repeater groups, catering and free car parking. Entry costs £3 per person, but under 16s will be admitted free of charge. Outside pitches cost £8 and are available from 8 am on the day. Inside tables cost £10 and must be pre-booked. For more details visit tinyurl.com/Barford2025  or email David, G7URP at radio@dcpmicro.com Now the Special Event news Special event station 9A2025HWC is active until the 30th of June to celebrate the 29th World Men's Handball Championship. The station was spotted recently on the 80 and 40m bands using SSB. QSL via Logbook of the World. QSOs are also uploaded to QRZ.com, Logbook and Club Log. As part of International Museums on the Air Weekend 2025, the Grampian Hilltoppers Contest Group is operating special event station GB2KDR from the Keith and Dufftown Heritage Railway in Moray, Scotland. The station is active on the HF bands using SSB and digital modes, as well as via the amateur satellites when conditions permit. QSL via OQRS. For more information, visit the GB2KDR page at QRZ.com  Now the DX news Nobby, G0VJG, is active as FO/G0VJG from Bora Bora, OC-067, in French Polynesia until Thursday, the 26th of June. He is operating using CW, FT8 and SSB on the 80 to 6m bands. QSL via M0OXO's OQRS and Logbook of the World. Bob, ZL1RS is active as YJ0RS from the island of Efate, OC-035, until Saturday, the 28th of June. Bob is mainly operating on the 6m band using FT8. There may also be some activity on 10m when the 6m band is closed. QSL via Logbook of the World, Club Log, or via Bob's home call. More information is available on the YJ0RS page at QRZ.com Now the contest news The All Asian DX Contest started at 0000UTC on Saturday, the 21st and ends at 2359UTC today, Sunday, the 22nd of June. Using CW on the 160 to 10m bands, where contests are permitted, the exchange is signal report and your age. The RSGB 50MHz Trophy Contest started at 1400UTC on Saturday, the 21st and ends at 1400UTC today, Sunday, the 22nd of June. Using all modes on the 6m band, the exchange is signal report, serial number and locator. Today, the 22nd, the Worked All Britain 6m Phone Contest runs from 0800 to 1400 UTC. Using SSB on the 6m band, the exchange is signal report, serial number and Worked All Britain square. On Tuesday the 24th, the RSGB SHF UK Activity Contest runs from 1830 to 2130 UTC. Using all modes on 2.3 to 10GHz frequencies, the exchange is signal report, serial number and locator. On Wednesday the 26th, the RSGB 80m SSB Club Championship runs from 1900 to 2030 UTC. Using SSB on the 80m band, the exchange is signal report and serial number. On Sunday the 29th, the UK Microwave Group 5.7 and 10GHz Contest runs from 0600 to 1800 UTC. Using all modes on 5.7 and 10GHz frequencies, the exchange is signal report, serial number and locator. On Sunday the 29th, the RSGB 50MHz CW Contest runs from 0900 to 1200 UTC. Using CW on the 6m band, the exchange is signal report, serial number and locator. Now the radio propagation report, compiled by G0KYA, G3YLA and G4BAO on Thursday the 19th of June 2025. Last week, we mentioned a large coronal hole on the Sun that might cause problems. The hole is so large that it is still Earth-centric seven days later. We had expected the hole to increase the Kp index due to the solar wind emanating from it. However, as of Thursday, the 19th of June, conditions remained quiet with a Kp index of 2. As geomagnetic conditions have remained calm this past week, it has been quite good for HF. 15m has been one of the better bands, with openings to both the east and west, depending on the time. As is the way nowadays, most of the activity has been on FT8, but it has opened up opportunities to work the Far and Middle East, as well as South America. The solar flux index has generally been in the range of 130 to 150, with a peak of 161 on the 15th of June. The Sun has been active, with a near X-class solar flare being observed around sunspot region 4114. This peaked at 1805 UTC on the 15th of June. There was also an X-class solar flare at 21:49 UTC on the 17th of June. This latter event was late in the evening, so it had little impact on the UK, other than to potential paths to the west. Maximum usable frequencies, or MUFs for short, declined a little during the past week, with openings on 21MHz becoming a little scarcer. It is useful to operate as close to the MUF as possible to minimise the effects of D-layer absorption and maximise the chances of working DX. Next week, NOAA predicts the solar flux index will be in the range of 125 to 145. Unsettled geomagnetic conditions are forecast for the period from the 24th to the 27th of June, with a maximum predicted Kp index of 5. If the Kp index is low, then we have a good chance of 21 MHz openings to South America in the evening. As we pass the summer solstice, we may even expect 14 MHz to remain open to DX throughout the night. We can also expect Sporadic-E to continue to provide short-skip openings on 28 MHz, and even the lower HF bands, such as 14, 18, 21, and 24 MHz. And now the VHF and up propagation news from G3YLA and G4BAO After a week of high pressure, this weekend returns to something more normal with showery rain and a series of weather fronts and showery interludes in the coming week. This will mean that rain scatter on the GHz bands is worth considering. Also, since we are into the summer season, the chances of some rain being heavy and thundery is a good signal for rain scatter. This sequence of low-pressure weather suggests that high pressure and Tropo will be less likely to make a big impact on the coming week's operating log. Any sign of high pressure will tend to be towards the south of the UK and over the continent. In very hot weather, the conditions can be good for low-level surface ducts across cooler seas. So, if you are tempted, then go for coastal or maritime paths up the east coast or across Biscay, for example. Meteor scatter may benefit from the late June Bootids, which peak on Friday, the 27th of June and the daytime Beta Taurids, which peak on the 28th of June. These are small showers, but they can also be important for contributions to long-lived metallic ions, which are the building blocks of Sporadic-E propagation. Aurora continues to appear with occasional radio events, but there is too much daylight for anything visual. As an alternative, you might see glimpses of noctilucent clouds low down on the northern horizon. These form in the mesosphere, at about 80km, as ice crystals form on meteor dust and can exhibit complex wave patterns. These are both good omens for Sporadic-E. The summer Sporadic-E season is well underway now. It is advisable to check the usual cluster maps and the propquest.co.uk  website for daily updates. It's also worth making use of the longer daylight and weather patterns over the polar regions for paths to the Far East. The Moon reaches perigee, its closest point to Earth, tomorrow, the 23rd, so path losses are low. Moon declination also reaches a maximum positive value on the 25th of June. This will mean that there are long Moon windows. 144MHz sky noise is moderate, increasing to high by tomorrow, the 23rd. The New Moon is on the 25th of June, so expect high noise levels due to its proximity to the Sun. And that's all from the propagation team this week.

We know principals are busy—constantly managing urgent issues and putting out fires. But we also know this: school-level change is the most powerful lever we have for improving student learning in math. So the real question is: are we setting school leaders up for math success?In this episode, we help schools and districts reflect on their current systems and support structures using a simple leadership audit:How are we positioning principals to take ownership of instructional leadership in math?Are they aligned to the school's math goals?What's getting in the way—and how can we fix it?You'll hear about common barriers schools face and gain actionable ideas from our work in math across North America to overcome them. If we want meaningful math improvement, engaging principals is not optional—it's essential.Key Takeaways:Why principals are essential for leading instructional change in mathHow to identify and remove barriers that limit principal involvementWhat it looks like when district and school leadership are aligned on math goalsQuestions to help you audit your current leadership structures for mathStrategies to build principal ownership and capacity in math instructionNot sure what matters most when designing math improvement plans? Take this assessment and get a free customized report: https://makemathmoments.com/grow/ Math coordinators and leaders – Ready to design your math improvement plan with guidance, support and using structure? Learn how to follow our 4 stage process. https://growyourmathprogram.com Looking to supplement your curriculum with problem based lessons and units? Make Math Moments Problem Based Lessons & Units Show Notes PageLove the show? Text us your big takeaway!Get a Customized Math Improvement Plan For Your District.Are you district leader for mathematics? Take the 12 minute assessment and you'll get a free, customized improvement plan to shape and grow the 6 parts of any strong mathematics program.Take the assessmentAre you wondering how to create K-12 math lesson plans that leave students so engaged they don't want to stop exploring your math curriculum when the bell rings? In their podcast, Kyle Pearce and Jon Orr—founders of MakeMathMoments.com—share over 19 years of experience inspiring K-12 math students, teachers, and district leaders with effective math activities, engaging resources, and innovative math leadership strategies. Through a 6-step framework, they guide K-12 classroom teachers and district math coordinators on building a strong, balanced math program that grows student and teacher impact. Each week, gain fresh ideas, feedback, and practical strategies to feel more confident and motivate students to see the beauty in math. Start making math moments today by listening to Episode #139: "Making Math Moments From Day 1 to 180.

We're obsessed with outcomes but rarely talk about the engine that creates them: consistent, tracked actions.  This transformative episode challenges the magical thinking around results. Every meaningful change, from fitness transformations to business growth to cultural shifts, follows the same fundamental principle.  Results aren't random; they're mathematical.  The episode explores how this principle applies across domains: business leaders tracking client conversations rather than just hoping for growth; cultural transformation requiring observable behavior changes; health improvements demanding sustainable daily practices. We examine how the "repeatable" aspect is often overlooked, causing initially successful changes to fail when they prove unsustainable. Most importantly, we discuss how to ensure your aspirations align with the level of reps you're willing to perform - Olympic medals require Olympic-level inputs.  Ready to transform wishful thinking into predictable results?  Tune in!    Text Me Your Thoughts and IdeasSupport the showBrought to you by Angela Shurina Behavior-First Change Leadership & Culture Transformation ConsultantEXECUTIVE & OPTIMAL PERFORMANCE COACH

https://www.youtube.com/watch?v=vMepGP0ehPo Podcast Audio In this episode of The Ayn Rand Institute Podcast, Elan Journo interviews ARI intellectuals about their upcoming talks at the Objectivist Summer Conference, taking place July 1-5 in Boston, Massachusetts. Among the topics covered: Audra Hilse's talk, “Revised Blueprints: Early Versions of Part II of The Fountainhead,” which will draw on archival material to offer insights into Rand's creative process; David Bakker's talk, “Newton Versus Descartes on the Exactness of Mathematics,” which will examine how their contrasting views on mathematical precision shaped the development of modern science; Ben Bayer's talk, “America Should Declare Independence from Altruism,” which will argue that America's responses to 9/11 and Covid reflect a deep-rooted evasion of altruism's moral flaws; Don Watkins' talk, “Enlightenment on Trial: The Real Lessons of the American and French Revolutions,” which will challenge conventional narratives about both revolutions to reframe how we understand the Enlightenment's true legacy. Registration is open for both in-person and virtual conference passes. The podcast was recorded on June 9, 2025 and posted on June 11, 2025. Listen and subscribe wherever you get your podcasts. Watch archived podcasts here.

EPISODE 139 | A Numbers Game: Mathspiracies Guest: Gary Arndt, writer and host of the Everything Everywhere Daily podcast We aren't really very good with numbers, so naturally we've come up with a lot of wacky ideas about them. Gary Arndt talks about numbers of all sorts, like why Pi is stupid, why prime numbers are cool, why the Fibonacci sequence isn't all that, when math leads to murder and much more. Like what we do? Then buy us a beer or three via our page on Buy Me a Coffee.  Review us here or on IMDb. And seriously, subscribe, will ya?  SECTIONS 02:25 - Numeracy rates, gambling is (usually) a sucker's bet, numerology, the Bible Code, p-hacking, Equidistant Letter Sequencing (ELS) 13:09 - The Hidden Hand of Mathematics, the Ultraviolet Catastrophe and the birth of quantum physics, the Fibonacci sequence and the Golden Ratio 20:05 - Pi, tau, the Cult of Pythagoras, irrational numbers, transcendental numbers, squaring the circle, Alex Jones and math, the real number of the Beast 28:51 - Why people believe conspiracy theories 30:13 - Angel numbers, the "meanings" of numbers 33:43 - Numbers stations 37:25 - Prime numbers, Prime Target TV series, trapdoor functions in cryptography, Al-Khwarizmi, double entry bookkeeping, the idea of zero, zero and null are different 43:20 - Base-10, base-12, base-60, and our timekeeping and calendar systems Music by Fanette Ronjat More Info Everything Everywhere Daily podcast The Bible Code book review in Notices of the AMS The Significance of The Number Forty-Two (42) by By Rabbi Dr. Hillel ben David (Greg Killian) Magic Apologetics: Equidistant Letter Sequencing in the Christian Research Journal Assassinations Foretold in Moby Dick! THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES by Eugene Wigner The Ultraviolet Catastrophe and the Creation of Quantum Mechanics episode of Everything Everywhere Daily What is the Fibonacci sequence? on LiveScience Fibonacci Sequence on Math Is Fun Composing Balanced Images: The Golden Ratio on ProGrade Digital Everything You Need to Know About Pi episode of Everything Everywhere Daily Why Tau Should Replace Pi episode of Everything Everywhere Daily The Cult of Pythagoras episode of Everything Everywhere Daily Irrational Numbers episode of Everything Everywhere Daily Squaring the Circle episode of Everything Everywhere Daily e: Euler's Number episode of Everything Everywhere Daily Pi Is Encoded in the Patterns of Life Alex Jones and 666 video A Guide to Angel Numbers and What They Mean Numerology Numbers 1-9: Exploring the single digit numbers in Numerology on Numerology.com Numbers Stations episode of Everything Everywhere Daily Number Stations on Priyom.org Number Station Recordings - Creepy radio broadcasts from unknown origins (video with over 4 hours of recordings) All About Cryptography episode of Everything Everywhere Daily Prime Numbers episode of Everything Everywhere Daily Prime Target TV series on IMDb Zero, My Hero episode of Everything Everywhere Daily Zero and NULL values  What is the Base-10 Number System? Base 12: An Introduction Babylonian Mathematics and the Base 60 System Follow us on social: Facebook Twitter Bluesky Other Podcasts by Derek DeWitt DIGITAL SIGNAGE DONE RIGHT - Winner of a Gold Quill Award, Gold MarCom Award, AVA Digital Award Gold, Silver Davey Award, and Communicator Award of Excellence, and on numerous top 10 podcast lists.  PRAGUE TIMES - A city is more than just a location - it's a kaleidoscope of history, places, people and trends. This podcast looks at Prague, in the center of Europe, from a number of perspectives, including what it is now, what is has been and where it's going. It's Prague THEN, Prague NOW, Prague LATER   

In this special feature episode live from the NYSE, Tony and Jeb engage in a discussion focused on the current state and future outlook of private real estate, focusing on a positive overall outlook as declining valuations made asset values more attractive. They highlighted favorable sectors such as industrial, multifamily, and life sciences, while the office sector faced challenges. Jeb explains how the industrial sector showed resilience due to shifting trade patterns and long-term fundamentals, including e-commerce growth, the persistent housing shortage, and the trend of near-shoring and on-shoring.  Jeb Belford, Managing Director, is the Chief Investment Officer of Clarion Partners. He is an equity owner in the Firm, chairman of the Firm's Investment Committee, and a member of the Executive Board. From 2013-2021 Jeb was the lead Portfolio Manager of the Firm's open-end core fund, with overall responsibility for fund management and portfolio strategy. From 2005-2012, Jeb was the Portfolio Manager for the Lion Value Fund, the Firm's value-add investment platform. Prior to becoming a portfolio manager, Jeb was a senior member of the Firm's Acquisitions Group, completing investments across a broad range of strategies. His background includes all key aspects of portfolio management, including acquisitions, financing and sales totaling over $20 billion in all property types and risk strategies, in markets across the U.S., Brazil and Mexico. Jeb joined Clarion Partners in 1995 and began working in the real estate industry in 1984 at Winthrop Financial Associates, Boston, MA. Jeb has a B.A. in Mathematics and Religion from Dartmouth College. Enjoying Alternative Allocations? Please take a moment to rate and review us. Your feedback helps us deliver more insightful episodes on alternative investments! Resources: About Clarion Partners | Alternatives by FTAlternatives by Franklin TempletonTony Davidow, CIMA® | LinkedIn

States across the country are putting millions of dollars into programs, such as math coaches and upgrading benefits. Ohio is not one of those states.

In this month's episode, Jennifer, Çınla, and François interview Giandomenica Becchio, Professor in the Department of Economics, Social Sciences, Mathematics, and Statistics at the University of Torino, about her 2024 book Political Economy and Economics: Gender Equality and Classical Liberalism (Palgrave). 

States across the country are putting millions of dollars into programs, such as math coaches and upgrading benefits. Ohio is not one of those states.

This episode of the Bitcoin Infinity Academy recaps and summarizes Sovereignty Through Mathematics.  Join the academy at our Geyser page: https://geyser.fund/project/infinity  You can also support us by sending some sats to our Alby Hub at bitcoininfinity@getalby.com  The Bitcoin Infinity Academy is an educational project built around Knut Svanholm's books about Bitcoin and Austrian Economics. Each week, a whole chapter from one of the books is released for free on Highlighter, accompanied by a video in which Knut and Luke de Wolf discuss that chapter's ideas. You can join the discussions by signing up for one of the courses on our Geyser page! Connect with Us: https://www.bitcoininfinityshow.com/  https://bitcoininfinitystore.com  https://primal.net/infinity  https://primal.net/knut  https://primal.net/luke  https://twitter.com/BtcInfinityShow  https://twitter.com/knutsvanholm  https://twitter.com/lukedewolf 

Bryan Solstin is a former aerospace systems engineer, Bitcoiner, conservationist, privacy advocate, and author of “Bitcoin and Nash Equilibrium” as well as “Apex Environmental Solution: Bitcoin.”› https://x.com/BryanBSolstin› Bitcoin and Nash Equilibrium: https://www.amazon.com/Bitcoin-Nash-Equilibrium-Emerging/dp/B0DGY185V4› https://www.solstin.com/john-nashPARTNERS

#DJChase #ThePreGamepartymixpodcast #PodcastThe Pre-Game Party Mix Podcast The Number #1 Urban PodcastThis week DJ Chase is bigger and better for 2025. Today DJ Chase is live with public speaker, Nation of Islam representative, and Hip Hop artist I Born . DJ Chase and I Born  talk about him joining the Nation of Islam, the teachings of the Nation of Islam, the impact of the music business on today's youth, and as always tips and tricks on how to make it in the new music business. Hope You Guys Enjoy!!!Let's Win! Peace and Blessings! Like, Comment, and Subscribe #DJChaseTV►Follow I Born: https://www.instagram.com/beloved_iborn/Purchase The all New Book From DJ Chase - The Record Label (Cheat Sheet) Vol. 2 - https://a.co/d/6yoxpR6►Follow DJ Chase: https://www.instagram.com/_djchase__/►Connect: https://djchase.net/►Connect: https://www.djchaseradio.com/ WDJC-DB DJ Chase Radio ►Connect: https://www.instagram.com/djchaseradio/►Connect: https://www.facebook.com/DJChaseradio/►Subscribe to the Pre-Game Party Mix Podcast Thank You for Enjoying This Content

#DJChase #ThePreGamepartymixpodcast #PodcastThe Pre-Game Party Mix Podcast The Number #1 Urban PodcastThis week DJ Chase is bigger and better for 2025. Today DJ Chase is live with public speaker, Nation of Islam representative, and Hip Hop artist I Born . DJ Chase and I Born  talk about him joining the Nation of Islam, the teachings of the Nation of Islam, the impact of the music business on today's youth, and as always tips and tricks on how to make it in the new music business. Hope You Guys Enjoy!!!Let's Win! Peace and Blessings! Like, Comment, and Subscribe #DJChaseTV►Follow I Born: https://www.instagram.com/beloved_iborn/Purchase The all New Book From DJ Chase - The Record Label (Cheat Sheet) Vol. 2 - https://a.co/d/6yoxpR6►Follow DJ Chase: https://www.instagram.com/_djchase__/►Connect: https://djchase.net/►Connect: https://www.djchaseradio.com/ WDJC-DB DJ Chase Radio ►Connect: https://www.instagram.com/djchaseradio/►Connect: https://www.facebook.com/DJChaseradio/►Subscribe to the Pre-Game Party Mix Podcast Thank You for Enjoying This Content

Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep472-sc See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. Transcript: https://lexfridman.com/terence-tao-transcript CONTACT LEX: Feedback - give feedback to Lex: https://lexfridman.com/survey AMA - submit questions, videos or call-in: https://lexfridman.com/ama Hiring - join our team: https://lexfridman.com/hiring Other - other ways to get in touch: https://lexfridman.com/contact EPISODE LINKS: Terence's Blog: https://terrytao.wordpress.com/ Terence's YouTube: https://www.youtube.com/@TerenceTao27 Terence's Books: https://amzn.to/43H9Aiq SPONSORS: To support this podcast, check out our sponsors & get discounts: Notion: Note-taking and team collaboration. Go to https://notion.com/lex Shopify: Sell stuff online. Go to https://shopify.com/lex NetSuite: Business management software. Go to http://netsuite.com/lex LMNT: Zero-sugar electrolyte drink mix. Go to https://drinkLMNT.com/lex AG1: All-in-one daily nutrition drink. Go to https://drinkag1.com/lex OUTLINE: (00:00) - Introduction (00:36) - Sponsors, Comments, and Reflections (09:49) - First hard problem (15:16) - Navier–Stokes singularity (35:25) - Game of life (42:00) - Infinity (47:07) - Math vs Physics (53:26) - Nature of reality (1:16:08) - Theory of everything (1:22:09) - General relativity (1:25:37) - Solving difficult problems (1:29:00) - AI-assisted theorem proving (1:41:50) - Lean programming language (1:51:50) - DeepMind's AlphaProof (1:56:45) - Human mathematicians vs AI (2:06:37) - AI winning the Fields Medal (2:13:47) - Grigori Perelman (2:26:29) - Twin Prime Conjecture (2:43:04) - Collatz conjecture (2:49:50) - P = NP (2:52:43) - Fields Medal (3:00:18) - Andrew Wiles and Fermat's Last Theorem (3:04:15) - Productivity (3:06:54) - Advice for young people (3:15:17) - The greatest mathematician of all time PODCAST LINKS: - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips

Brought to you by the Founders Unfiltered podcast by A Junior VC - Unscripted conversations with Indian founders about their story and the process of building a company. Hosted by Aviral and Mazin.Join us as we talk to Akshay Verma, the Co-founder of FITPASS about their story.Akshay completed his bachelor's in Mathematics from St. Stephen's College, Delhi, followed by a master's in Financial Economics from the University of Oxford and another master's in Public Administration from Columbia University.He went on to work at UBS Investment Bank in London, Echoing Green, founded Shillhippo, served as Director at Agratam India, and eventually co-founded FITPASS in 2015.

"Everybody has value to give." “It's not a game breaker, it's a game changer.” “How are you doing that differently? How are you going to stand out from the crowd?”   Episode summary | In this episode of the ROG Return on Generosity podcast, host Shannon Cassidy interviews Yvette Thornton, a registered patent agent and advocate for innovation and women in leadership. Yvette shares her journey from growing up on a farm in Virginia to her career in intellectual property, emphasizing the importance of collaboration, empowerment, and generosity. She discusses her advocacy for the National Down Syndrome Society, her experiences in patent law, and the lessons learned from her upbringing that shape her leadership style. The conversation also touches on navigating career transitions, the power of community, and the significance of recognizing one's own value and strengths.   R.O.G. Takeaway Tips | Leadership is about recognizing and valuing everyone's contributions. Empowering women in leadership roles is crucial for industry transformation. Advocacy for individuals with Down syndrome is about recognizing their abilities. Intellectual property protects innovations and encourages creativity. Listening and asking the right questions are key skills in patent law. Transitioning careers involves self-discovery and recognizing one's strengths. Generosity can come from unexpected places and has a ripple effect. It's important to grieve the loss of a job and give oneself time to heal. You are enough; own your strengths and contributions.   Chapters |  00:00 Introduction to Yvette Thornton and Her Journey 03:20 Growing Up on the Farm: Roots and Values 06:16 Influence of Family and Community on Leadership 08:59 Empowering Women in Leadership through WICT 11:57 Advocacy for Down Syndrome Awareness 14:48 Understanding Intellectual Property and Patents 15:43 The Journey to Becoming a Patent Agent 18:23 Innovations and Patents: The Impact of Ideas 21:21 Listening and Questioning: Keys to Innovation 23:10 Navigating Project Management and Innovation 24:34 Advice for Innovators: Protecting Your Ideas 26:34 Understanding Patents and Intellectual Property 27:48 The Power of Generosity in Professional Transitions 31:14 Embracing Career Transitions and Self-Discovery 35:27 Overcoming Self-Doubt and Embracing Your Value 39:00 The Importance of Asking for Help 42:15 Empowerment and Believing in Your Worth 43:21 Recharge and Leadership Style   Guest Bio | Yvette Thornton, a registered patent agent, is the driving force behind Clarke Innovations LLC, where she advises organizations on innovation strategies, operational improvements and intellectual property (IP).  Her work focuses on the intersection of engineering and IP, expanding access to patenting, and fostering innovation-driven cultures.  In her previous role as Director of Patent Development at Comcast NBCUniversal, Yvette collaborated with engineers and senior leaders to identify and capture innovation across the company. Yvette's impact extended beyond idea generation; she developed internal patent process, launched an Employee Recognition Program and created “Girl Storm” a program supporting women in patenting. Yvette began her IP career as a Primary Patent Examiner at the U.S. Patent and Trademark Office. She holds a M.S.  in Chemistry from the University of Virginia and a B.S. from Norfolk State University, where she was a Dozoretz National Institute for Mathematics and Applied Sciences (DNIMAS) Scholar. Based in the Philadelphia area, Yvette is active in The WICT Network: Greater Philadelphia, an advocate for the National Down Syndrome Society and enjoys reading, drawing, and spending time with her family.   Guest Resources:  https://clarkeinnovations.com/   Bridge Between Resources: 5 Degree Change Course Free N.D.I. Network Diversity Index  Free Generosity Quiz    Credits: Yvette Thornton, Host Shannon Cassidy, Bridge Between, Inc. Coming Next: Please join us next week, Episode 237, Special Guest, Brett Brackett.

Joan Clarke (1917-1996) was a codebreaker for the British armed forces during World War II. Her work alongside famous computer scientist Alan Turing was pivotal in decoding Nazi communications and bringing the war to an end. For Further Reading: Joan Clarke (1917 - 1996) - Biography - MacTutor History of Mathematics 100 Years Ago: Joan Clarke Joan Clarke, woman who cracked Enigma cyphers with Alan Turing - BBC News The Female Codebreakers Of Bletchley Park | HistoryExtra This month we're talking about Outsiders -- women who marched to the beat of their own drum and rejected stereotypes about what women "should" be. They are aesthetic pioneers, norm-benders, and often the only woman in their field. History classes can get a bad rap, and sometimes for good reason. When we were students, we couldn’t help wondering... where were all the ladies at? Why were so many incredible stories missing from the typical curriculum? Enter, Womanica. On this Wonder Media Network podcast we explore the lives of inspiring women in history you may not know about, but definitely should. Every weekday, listeners explore the trials, tragedies, and triumphs of groundbreaking women throughout history who have dramatically shaped the world around us. In each 5 minute episode, we’ll dive into the story behind one woman listeners may or may not know–but definitely should. These diverse women from across space and time are grouped into easily accessible and engaging monthly themes like Educators, Villains, Indigenous Storytellers, Activists, and many more. Womanica is hosted by WMN co-founder and award-winning journalist Jenny Kaplan. The bite-sized episodes pack painstakingly researched content into fun, entertaining, and addictive daily adventures. Womanica was created by Liz Kaplan and Jenny Kaplan, executive produced by Jenny Kaplan, and produced by Grace Lynch, Maddy Foley, Brittany Martinez, Edie Allard, Carmen Borca-Carrillo, Taylor Williamson, Sara Schleede, Paloma Moreno Jimenez, Luci Jones, Abbey Delk, Adrien Behn, Alyia Yates, Vanessa Handy, Melia Agudelo, and Joia Putnoi. Special thanks to Shira Atkins. Original theme music by Brittany Martinez. Follow Wonder Media Network: Website Instagram Twitter See omnystudio.com/listener for privacy information.

What is the role of active versus passive learning for math? How would data science become an avenue of math study for high school students and why isn't it already? Where does change in math education start? At the college level or before?Jo Boaler is a professor of mathematics education at Stanford University and also the author of a number of books, including Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics, Limitless Mind: Learn, Lead, and Live Without Barriers, and Mathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching.Greg and Jo discuss creativity, diversity, and meaning in math education. Their conversation identifies certain flaws in current math teaching methods, the resistance to educational change, and the importance of metacognition, visual learning, and collaborative problem-solving. Jo shares insights from her journey as a math educator, including her experiences with educational reform and the implications of neuroscience on learning math. They also examine the role of active versus passive learning, the potential of data science in education, and the impact of AI on future teaching practices.*unSILOed Podcast is produced by University FM.*Episode Quotes:How conjectures ignite mathematical thinking17:00: When we ask kids to reason about maths and to come up with their own conjectures, we like to share that word with kids. This is a word that all mathematicians use—a conjecture for an idea they have that you need to test out. It's like a hypothesis in science, but kids have never heard of that word, which is, you know, means there's a reason for that. But anyway, we teach our kids to come up with conjectures and then to reason about them and prove it to each other. And they get these great discussions where they're reasoning and being skeptical with each other. And that's what sparks their interest. They actually feel like they're discovering new things. And it's, like, really engaging for the kids to get into these discussions about the meanings of why these things work in maths. So it's a great route in, not only to engage kids, but have them understand what they're doing. Yeah, it's not that common.Why every kid should learn data science31:02: Data science is really something all kids should be learning in school, before they leave school, and developing a data literacy and a comfort with data and being able to read and analyze data, to some extent, is an important life skill. And it probably is really important to say, if a democracy, as a lot of misinformation is shared now, and if kids aren't leaving able to make sense of and separate fact and fiction, they will be left vulnerable to those misinformation campaigns. So, it's important just to be an everyday citizen.Why estimation is really important34:48: The idea of Math-ish is, estimation is really important. There's a lot of research evidence that we should be getting kids to estimate, but I know that kids in schools hate to estimate, and they resist it, and they will work things out precisely and round them up to make them look like an estimate. But you ask them, what's your ish number? And something magical happens. Like, suddenly they're willing to share their thinking, but it doesn't happen enough.The problem with teaching everything every year14:28: In the US, we have this system of teaching everything every year. So, you start learning fractions in maybe grade three, but you also learn them again in grade four and grade five and grade six. And at the end of that, kids don't understand fractions and everything else. Everything is taught every year. Whereas if you look at very successful countries like Japan, they don't teach in that way. Fractions is taught in one year—one year group—deeply, well, conceptually. So this is why you see kids going around in these massive textbooks that they can hardly carry, because it has all this content. And, of course, when you try and teach everything every year, often kids don't learn any of it well.Show Links:Recommended Resources:Randomized Controlled TrialMetacognitionCompression as a unifying principle in human learningCarol DweckGuest Profile:Faculty Profile at Stanford GSEProfile on WikipediaYouCubedSocial Profile on InstagramSocial Profile on XHer Work:Amazon Author PageMath-ish: Finding Creativity, Diversity, and Meaning in MathematicsLimitless Mind: Learn, Lead, and Live Without BarriersWhat's Math Got to Do with It?: How Teachers and Parents Can Transform Mathematics Learning and Inspire SuccessData Minds: How Today's Teachers Can Prepare Students for Tomorrow's WorldMathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching

Josh Recio from the UT Charles A. Dana Center challenges the mathematical status quo by advocating for quantitative reasoning courses as equally valuable to the traditional calculus pathway. His work with the Dana Center's Launch Years Initiative aims to provide students with math courses aligned to their future careers, emphasizing numeracy, mathematical modeling, and statistical reasoning skills needed in today's workplace.• Students need quantitative reasoning skills for their civic, personal, and professional lives• Traditional push toward calculus causes many students to miss developing crucial analytical skills• QR courses focus on solving relevant, age-appropriate problems using mathematics as a tool• Many QR courses are incorrectly viewed as "lesser than" or "low rigor" alternatives• Changing perceptions requires legitimizing QR through higher standards and recognition from influential institutionsCheck out our future episode where we'll dive deeper into the Launch Years Initiative, exploring how this approach is working to move these ideas into actual practice.

This episode of the Bitcoin Infinity Academy covers Sovereignty Through Mathematics Chapter 12: The Years Ahead In this episode, we discuss the final chapter of 'Sovereignty through Mathematics' titled 'The Years Ahead.' We discuss predictions and insights related to Bitcoin's future, including the Lindy Effect, Bitcoin's scarcity, and the role of quantitative easing. We also cover significant events like the block size wars, the advent of the Lightning Network, and the importance of vigilance in the Bitcoin community. This chapter reflects on Bitcoin's growth, historical context, and the increasing importance of adopting Bitcoin as sound money in an inflating fiat world. We wrap up by discussing the potential future developments in Bitcoin and what they mean for users and adopters. Read the chapter on Nostr: https://primal.net/infinity/the-years-ahead--sovereignty-through-mathematics-chapter-12  Join the academy at our Geyser page: https://geyser.fund/project/infinity  You can also support us by sending some sats to our Alby Hub at bitcoininfinity@getalby.com  The Bitcoin Infinity Academy is an educational project built around Knut Svanholm's books about Bitcoin and Austrian Economics. Each week, a whole chapter from one of the books is released for free on Highlighter, accompanied by a video in which Knut and Luke de Wolf discuss that chapter's ideas. You can join the discussions by signing up for one of the courses on our Geyser page! Connect with Us: https://www.bitcoininfinityshow.com/  https://bitcoininfinitystore.com  https://primal.net/infinity  https://primal.net/knut  https://primal.net/luke  https://twitter.com/BtcInfinityShow  https://twitter.com/knutsvanholm  https://twitter.com/lukedewolf 

In this episode of Innovation and the Digital Enterprise, Patrick and Shelli talk to Jeff Miller, Vice President of Engineering at LinenMaster. Jeff discusses his journey in the tech industry and his role at LinenMaster, a leading laundry management solutions provider. He delves into his previous roles at various prominent Chicago technology companies focusing on his work to modernize platforms and streamline operations. We talk about his earlier interest in tech; he built a computer when he was a kid. Then Jeff shares insights into this hands-on approach, the challenges of transforming legacy systems, and the importance of iterative development. He discusses his leadership philosophy of roadmapping transformation with the customer in mind, and building trust through execution.(00:00) Introducing Jeff Miller, VP of Engineering at LinenMaster(01:14) Jeff Miller's Career Journey(04:38) Roadmapping Strategy at LinenMaster(06:24) Technological Transitions and Innovations(09:36) Leadership and Decision-Making(09:37) Jeff's Early Interest in Technology(12:58) Rebuilding Trust and Modernizing Software(25:02) Advice for Tech Professionals and Founders(28:47) Conclusion and FarewellJeff Miller is Vice President of Engineering at LinenMaster. Previously he moved up through a variety of roles at Yello.co culminating in a position as Chief Technology Officer. Before that he was Vice President Of Engineering at Fooda and he launched his career at Enova International. He earned a Bachelors degree in Computer Science and Mathematics from the University of Wisconsin-Madison, where he was also President of the Madcity Skydiving Club.If you'd like to receive new episodes as they're published, please subscribe to Innovation and the Digital Enterprise in Apple Podcasts, Spotify, or wherever you get your podcasts. If you enjoyed this episode, please consider leaving a review in Apple Podcasts. It really helps others find the show.Podcast episode production by Dante32.

In this conversation, Rufus interviews Zak about his early learning journey, exploring the corruption of graduate education, the sacredness of measurement for ancient man & what kind of new wise agency is needed amidst existential risk and all pervasive information warfare.Listen above or watch the episode here:About the episode:In their second interview, Rufus explores Dr. Zak Stein's formative experiences of education, music and standardised testing. They explore the sacred and esoteric history of measurement in the pre-modern world compared with today. Zak Shares on what he learned conducting research into the all-pervasive landscape of propaganda and information warfare for the Consilience Project. They close exploring the possibility of 'a new archetype of wise agency' which, unlike previous monastic wisdom traditions, is deeply responsive and engaged with worldly agency, politics, power and strategy.This conversation supports the recent book First Principles and First Values: Forty-Two Propositions on CosmoErotic Humanism, the Meta-Crisis, and the World to Come. See detailed notes on the book and our summary here.Chapters00:00 Zak's Early Education Experience 09:46 Zak's Journey Through Jazz Musicians 14:33 Ken Wilber and Developmental Psychology 17:44 The Creation of Lectica & Entering Harvard Without a GPA 24:02 What Happened to Developmental Psychology at Harvard? 28:00 The Academy Is Broken & the Frame of Institutional Decay 31:47 Government and Industry Cannibalize Graduate Education 39:29 The Problem of Metrication & Civilizational Collapse 45:35 The Magic of Measurement for Ancient Man & Measurement as a Sacred Act 58:18 Consilience Project's Findings on Psychological Warfare 1:01:00 Rufus: Culture War, Printing Press, and the Modern Age 1:03:45 Information War Erodes the Possibility of Truth 1:20:00 How Can a Second Renaissance Counter Propaganda Culture? 1:22:45 The “Long Game” of Wisdom in the Past vs. the Need for Active Engagement in the Metacrisis 1:24:12 The New Archetype of “Wise Agency”1:32:00 How Do We Use Power Wisely? About Zak SteinDr. Zachary Stein is co-founder of the Civilizational Research Institute, the Center for World Philosophy and Religion and Lectica, Inc, and is a widely sought after and award winning speaker. Zak is a leading authority on the future of education and contemporary issues in human development. He was trained at the interface of philosophy, psychology, and education, and now works in fields related to the mitigation of global catastrophic risk. Dr. Stein is the author of several books and many peer-reviewed papers, including most recently First Principles and First Values: Forty-Two Propositions on CosmoErotic Humanism, the Meta-Crisis, and the World to Come, by Zak Stein, Marc Gafni and Ken Wilber writing under the name David J. Temple.About Rufus PollockRufus Pollock is an entrepreneur, activist and author as well as a long-term zen practitioner. He is passionate about finding wiser, weller ways to live together. He has founded several for-profit and nonprofit initiatives including Life Itself, Open Knowledge Foundation, and Datopian. His book Open Revolution is about making a radically freer and fairer information age. Previously he has been the Mead Fellow in Economics at the University of Cambridge as well as a Shuttleworth and Ashoka Fellow. A recognized global expert on the information society, he has worked with G7 governments, IGOs like the UN, Fortune 500s as well as many civil society organizations. He holds a PhD in Economics and a double first in Mathematics from the University of Cambridge. Find out more about his work on his website: rufuspollock.com. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit news.lifeitself.org

In this episode of the IoT For All Podcast, Eystein Stenberg, CTO and co-founder of Northern.tech, joins Ryan Chacon to discuss the critical role of device lifecycle management and over-the-air (OTA) updates for OEMs in today's software-driven world. The conversation covers the five stages of device lifecycle management, the challenges OEMs face when transitioning to software-driven models, how OTA updates maintain cybersecurity and system resilience, the impact of regulations and the EU Cyber Resilience Act, and insights from Northern.tech's latest report.The State of Industrial IoT Device Lifecycle Management: https://northern.tech/dlm-industry-report-2025Eystein Stenberg is the CTO and co-founder of Northern.tech. With over 15 years of experience in security and systems management, Stenberg has served on the frontlines of some of the largest production environments and possesses in-depth knowledge on solving real-world system security challenges. An expert in embedded system security and IoT device management, Stenberg routinely shares his insights at industry conferences. Stenberg holds a Master's degree in Mathematics with a focus on cryptography from the University of Tromsø in Norway.Northern.tech is the leader in device lifecycle management with a mission to secure the world's connected devices. Established in 2008, Northern.tech showcases a long history of enterprise technology management before lloT and loT became buzzwords. Northern.tech is the company behind CFEngine, the pioneer in server configuration management, to automate large-scale IT operations and compliance. In 2015, Northern.tech released the first version of Mender, the market leader in over-the-air software update management. Mender offers robust, secure, and customizable OTA software updates for smart devices. Mender boasts a proven track record with Fortune 1000 clients, including Airbus, Lyft, Volkswagen, Siemens, Thales, and ZF Group.Discover more about IoT at https://www.iotforall.comFind IoT solutions: https://marketplace.iotforall.comMore about Northern.tech: https://northern.techConnect with Eystein: https://www.linkedin.com/in/eysteinstenberg/(00:00) Intro(00:10) Eystein Stenberg and Northern.tech(00:41) Why is device lifecycle management essential?(02:18) What is device lifecycle management?(04:42) Challenges OEMs face in becoming software-driven(07:26) Are over-the-air updates more than a feature?(09:28) Real-world examples of DLM and OTA impact(11:43) Risks of neglecting device lifecycle management(13:21) Impact of regulatory compliance(14:29) Advice for OEMs to future proof devices(15:27) The role of AI in device management(16:48) Insights from Northern.tech's reportSubscribe on YouTube: https://bit.ly/2NlcEwmJoin Our Newsletter: https://newsletter.iotforall.comFollow Us on Social: https://linktr.ee/iot4all

If you are spending more time staring at your windshield instead of looking into your customers' eyes, you are doing field sales wrong.  Over the past couple of years, there's been a resurgence in field sales. Businesses everywhere are adding field salespeople and sending representatives out into the territory to meet with customers face-to-face.  And for good reason—human beings buy from human beings. The most powerful way to anchor relationships, solve problems, and sell more is to get in front of your customers. With AI creating so much noise in the system, it's getting harder to prospect via email and social media. Going out and knocking on doors has become an easier way to connect with people, build relationships, and open up opportunities in your pipeline.  And the good news, at least for now, is that prospects are happy to see field sales pros and inviting them in to their businesses and homes.  But with the resurgence of outside sales comes an age-old problem: Field salespeople have got to travel to get to customers. And here's the brutal reality—the single greatest waste of time for field sales professionals is staring at a windshield. On this Money Monday segment of the Sales Gravy Podcast I'm going to teach you exactly how to minimize windshield time and maximize face time. Because at the end of the day, you don't get paid to drive. You get paid to sell. The Windshield Time Delusion Too many reps delude themselves into believing that driving from one place to another is "working." Let's get something straight: Driving is not an accomplishment. I don't care if you put 100 miles on your vehicle in a day. That doesn't mean you accomplished anything meaningful. It just means you drove from one place to the next, burning dinosaurs and wasting time. I see this all the time. Reps will drive to one customer, then drive all the way across their territory to another customer, instead of concentrating their work in a single geographic area.  They'll dead-head out to an appointment, then drive all the way back to the office, passing up dozens of prospects they could have walked into along the way. Don't confuse activity with productivity.  Just because you drove all over creation, that doesn't mean you had a productive day.  Your job is to be in front of customers, not behind a steering wheel. Every minute you spend staring at your windshield is a minute you're not building relationships, solving problems, putting new opportunities in the pipe or closing deals. The Mathematics of Effective Field Sales Territory Management  Let me put this in perspective with some simple math that will blow your mind. Let's say you're a typical field sales rep working in a moderate-sized territory. You make 5 customer visits per day, and between poor route planning and territory management, you spend an average of 45 minutes driving between each appointment. That's 3 hours and 45 minutes of windshield time daily. Over a 5-day work week, that's 18 hours and 45 minutes of non-productive driving time. That's nearly half of your work week spent accomplishing absolutely nothing. Now, let's say you tighten up your territory management and reduce that drive time to 20 minutes between appointments through better planning. You're now down to 1 hour and 40 minutes of windshield time daily, or 8 hours and 20 minutes weekly. You just freed up more than 10 hours per week. That's enough time for 15 to 20 additional customer visits or prospect calls. Over a month, that's 60-80 more customer touchpoints. Over a year, that's 720-960 additional opportunities to build relationships and generate revenue. The reps who figure out how to minimize windshield time don't just have better work-life balance—they absolutely dominate their territories and blow past their quotas while their competitors are still driving around wastefully. Map Your Territory Into Quadrants This is why the first rule of field sales is get...

En este episodio Jota y Luis reseñan el último disco de Wu-Tang Clan junto al productor Mathematics, Black Samson, the Bastard Swordsman. Mencionan lo que esperaban del disco, analizan su música y dicen la importancia que ocupa este álbum en su catálogo.www.patreon.com/acordesyrimas

This episode of the Bitcoin Infinity Academy covers Sovereignty Through Mathematics Chapter 11: A New Form of Life In this episode, we discuss the intriguing concept of Bitcoin as a new form of life. From its open system and homeostasis to its cellular structure and lifecycle, the conversation challenges conventional thinking about life and Bitcoin. We also touch on topics like privacy measures, fungibility of Bitcoin, and the importance of self-custody.  Read the chapter on Nostr: https://primal.net/infinity/a-new-form-of-life-%7C-sovereignty-through-mathematics-chapter-11  Join the academy at our Geyser page: https://geyser.fund/project/infinity  You can also support us by sending some sats to our Alby Hub at bitcoininfinity@getalby.com  The Bitcoin Infinity Academy is an educational project built around Knut Svanholm's books about Bitcoin and Austrian Economics. Each week, a whole chapter from one of the books is released for free on Highlighter, accompanied by a video in which Knut and Luke de Wolf discuss that chapter's ideas. You can join the discussions by signing up for one of the courses on our Geyser page! Connect with Us: https://www.bitcoininfinityshow.com/  https://bitcoininfinitystore.com  https://primal.net/infinity  https://primal.net/knut  https://primal.net/luke  https://twitter.com/BtcInfinityShow  https://twitter.com/knutsvanholm  https://twitter.com/lukedewolf 

In this episode, listeners will learn about Actantial Networks—graph-based representations of narratives where nodes are actors (such as people, institutions, or abstract entities) and edges represent the actions or relationships between them.  The one who will present these networks is our guest Armin Pournaki, a joint PhD candidate at the Max Planck Institute for Mathematics in the Sciences and the Laboratoire Lattice (ENS-PSL), who specializes in computational social science, where he develops methods to extract and analyze political narratives using natural language processing and network science.  Armin explains how these methods can expose conflicting narratives around the same events, as seen in debates on COVID-19, climate change, or the war in Ukraine. Listeners will also discover how this approach helps make large-scale discourse—from millions of tweets or political speeches—more transparent and interpretable, offering tools for studying polarization, issue alignment, and narrative-driven persuasion in digital societies. Follow our guest Armin Pournaki's Webpage Twitter/X Bluesky Papers in focus How influencers and multipliers drive polarization and issue alignment on Twitter/X, 2025 A graph-based approach to extracting narrative signals from public discourse, 2024  

This episode we look at time and direction and the influence of geomancy--theories of Yin and Yang and a little bit of how people viewed the world through that lens.  For more, check out the blog page:  https://sengokudaimyo.com/podcast/episode-127 Rough Transcript Welcome to Sengoku Daimyo's Chronicles of Japan.  My name is Joshua, and this is episode 127: Time and Direction in Ancient Yamato   Officers of the court stood in the pavilion.  The soft trill of water could be heard trickling from one reservoir to the next.  They watched closely, as the figure of a court official, one hand out, pointing at a measuring stick, slowly rose along with the water.  Eventually, the figure's outstretched arm indicated a line with a single character next to it. On cue, one of the officials began to beat the large drum that was nearby.  The rhythm was slow, but deliberate, and the sound was loud, echoing out to the mountains and back, showering the nearby palaces in a layer of sound.  Across the palace, people briefly paused, took note of the number of strokes, and by that they knew the time of day.  Without giving it much more thought, they then went about their business.     This episode we find ourselves partway through the reign of Naka no Oe, aka Tenji Tennou—his formal reign started in 668, but he had been pretty much running things since the death of Takara Hime in 661 and, arguably, for much longer than that.  668, however, saw Naka no Oe ascend the throne in his new palace of Otsu no Miya, officially making him the sovereign.  And although 645 is the year Naka no Oe and others had started the Taika Reforms, it's not wrong to say that  that 668 and the start of Naka no Oe's official reign, brief as it would be, that he finally had the ability to bring it all together and set it into stone. We've talked about many of these reforms before on the podcast, but a lot of them were associated with the continued push to incorporate continental concepts into Yamato society, covering everything from court ranks to how to organize agricultural production.  Of course, there was also Buddhism, which we've covered numerous times, but there were other concepts coming across as well, including ideas about history and writing, as well as ancient STEM—Science, Technology, Engineering, and Mathematics.  This included architects, and new ways of constructing buildings.  And it also meant ways of seeing the world, including things like directions and time.  And this is what I want to focus on this episode, taking a break from the primary narrative to spend some time on what we might call Yamato concepts of science, especially how they thought about the structure of reality organization of time and the universe – their cosmology, as it were.  After all, to better understand the reasoning and motives of people, it is helpful to try and understand how they saw the world, not just for translation—understanding what it means when an entry says something like the “Hour of the Horse” on an “Elder Wood” day—but also for understanding how things actually worked in their eyes.  For instance, the idea of ”auspicious” and “inauspicious” times and directions is something that most listeners probably don't incorporate much into their daily lives, but the Chroniclers and the people of Yamato absolutely did, so understanding concepts like this can sometimes be the key to unlocking why historical people may have taken the actions that they did.  In particular, we'll talk about things like yin and yang, five elements, ten stems and twelve earthly branches, and what all this meant for the Yamato ideas of organizing time and space. A large part of Yamato cosmology is tied to something called Onmyoudou, literally the Way of Yin and Yang, which in the organization of the Ritsuryo state fell under a particular ministry, known as the Onmyo-ryo.  If you've heard of Onmyoudou before, you likely have heard about the “Onmyouji”, practitioners who studied the flow of yin and yang—and who could reportedly do miraculous things with that.  A 10th century Onmyoji, the famous Abe no Seimei, is perhaps the most well-known, with numerous stories about his exploits, which were then turned into a fantastical series of stories by the award-winning author, Baku Yumemakura.  Those were then turned into Manga, movies, and more.  Abe no Seimei is like Japan's Merlin, or Gandalf, at least in the stories. Back to the organization we mentioned, the Onmyou-ryou was responsible for Yin-Yang theory, or Onmyou-dou, which included divination, as well as astronomy, or Tenmon-dou, and calendar making, or reki-dou.  While some of this was based on straight up natural observances, a lot of it was explained through older concepts of Yin and Yang theory.  Today, you might encounter a lot of this in the theories around Feng Shui, and this can also be referred to as “geomancy”, or earth divination.   To give a broad overview of Onbmyoudou and its origins, it is part of a large corpus of concepts focused around a concept of energy known as qi or ki—which forms the basis for a lot of Chinese and Japanese cosmology, or their concept of how the world worked.  Much of this is tied up in concepts that are modernly broadly called “Daoist” or associated with so-called Daoist practices.  That term can be a bit misleading, as strictly speaking, Daoism refers to the teachings of the legendary philosopher Laozi, in his book, the Dao De Jing, as well as works attributed to later authors, like the Zhuangzi. There is some controversy as to when and to what extent this strict Daoism came to Japan.  However, in the broader sense, the category of “Daoist “ practices includes an entire panoply of various folk practices, including concepts of Yin and Yang – and in the archipelago, many of these concepts were imported with the various books that people had acquired on the mainland, even if they weren't strictly tied to Daoist religious practice.  For example, there were aspects that were borrowed by various Shinto shrines, and others formalized into ritual practices under the new government.  And of course many of these became linked to various Buddhist teachings and practices, as well.   But what did this actually look like in concept and practice for practitioners of Onmyoudo in Japan? Let's start with the idea of yin and yang.  One of the earliest references comes from the Zhou Yi, the Zhou Book of Changes, the core of what we also know as the Yijing, the Book of Changes.  Here we see the idea that the universe began with a single force that split into two, and those two forces make up all of creation in one way or another.  Yin and Yang, or In and You—or even Onmyou—refer to these forces, which are characterized as shadow and light, moon and sun, female and male, cold and hot, etc.  So these forces are opposites, but it should be noted that they are not necessarily good or evil.  After all, too cold is just as bad as too hot.  Likewise too much darkness is as blinding as too much light. As most people have seen, yin and yang are often depicted as a circle divided into two comma shapes, with a smaller circle in each.  One side is white with a black circle and the other is black with a white circle.  This is the “Tai Chi” diagram, but the diagram itself doesn't seem to have been depicted like this prior to the 11th century, at least that we are aware. But the concepts are much older.    Now if you've heard of the Yijing, where it came from is something of a mystery.  One theory is that it started as a written account of folk wisdom, and may have even given instructions for things like when to plant and when to harvest, based on changes in various heavenly phenomena.   But overall it is organized into 64 chapters, each associated with a particular hexagram.  Start with a line, that can either be a full line – representing yang – or a broken line representing yin.  Stack three of these on top of one another and you get a trigram.  If you chart out every single possible combination of yin and yang lines, you get 8 unique trigrams, sometimes referred to as the baqua.  Stack two trigrams atop one another and you get a hexagram, a combination of 6 lines that can have 8 by 8 or 64 unique variants.   It's theorized that the Yijing resulted from taking all of the collected sayings or aphorisms and bits of advice and cataloguing and dividing them into 64 chapters, each one associated with a given hexagram. Going further, each line of the hexagram is  associated with particular line in Yijing, and various meanings are ascribed to it and its association.  It's a complex and fascinating system and I don't have time to go into it fully, but I would note that this was used as a form of divination—yarrow stalks or other means of random lot drawing that gives you a binary outcome – zero or one, yin or yang – could be used to determine the six lines of any given hexagram.  This, in turn, would reference a chapter in the Yijing which was then interpreted as a sign as to how to read a given situation that you might find yourself in. What's really important to understanding the worldview of the time is this idea, represented by the hexagrams in the Yijing, that you can encompass everything about the universe by making and cataloging different amounts and arrangements of yin and yang. It's a science, as it were – a systematic approach to understanding the differences in the world by breaking it into component parts.    And if this seems preposterous, consider this:  today we understand that all things are made up of tiny atoms.  And these atoms are all made up of the same material—protons, neutrons, and electrons.  And yet, how those atomic particles combine create atoms with wildly different qualities.  And how those atoms then combine into molecules and so on and so forth describe how we explain everything around us.  So is it really so far-fetched? I'm not saying that we should suddenly start to figure out the measurements of yin and yang in everything, but if we want to understand how the people of the time saw their world, it may be helpful to hold an open mindand understand the assumptions that they were working from and where they came from.  As human beings, we naturally look for connections in the world around us, and this was no exception.  People would observe facts, know how that it worked, and often then would back into the reason for it.  This is a tale told across cultures, and we still see it, today.  At the same time, we've developed structured approaches to test out our theories, empirically. So for the moment, let's leave the trigrams and hexagrams, and talk about another idea that also gained traction as people were trying to figure out how the world worked.  This was the five elements theory also known as Wuxing, or Gogyou, in Japanese.  The five elements in this case are Fire, Water, Wood, Metal, and Earth.  Some may notice that these, along with the sun and the moon, are used in Japanese for the days of the week:  Nichi (sun), getsu (moon), ka (fire), sui (water), moku (wood), kin (metal), do (earth). Buddhists, by the way, also had an elemental system with only four elements,  Fire, Water, Air, and Earth, possibly connected with some Greek influence, and brought along with Buddhist practice.  For now, however, let's focus on the five elements. The idea in wuxing is similar to that of yin and yang in that everything in creation is made up of these five elements in some degree and configuration.  Furthermore, there are creation and destruction cycles.  So fire creates ash, or earth.  Earth gives birth to metal.  Metal creates water—look at a cold piece of metal in a warm environment and see how the water droplets form on it, and imagine what that looks like without understanding humidity and how there could be water vapor in the air.  And then water creates wood, or plants—any farmer could tell you that without water the plants die.  And wood is where we get fire from. Of course, the reverse cycle is the opposite.  Fire eats the wood.  Wood drinks up the water.  Water rusts metal.  Metal tools plough the earth. And Earth can be used to douse fire. Finally, there is another cycle of weakening. ,. Because fire heats and weakens metal, metal chops down wood, the trees roots break up rocks, the earth soaks up water, and water likewise puts out or weakens fire. So the theory went, if these elements make up all matter, these relationships continue on a more complex scale in everything.  So if something was thought to contain a lot of “fire” element, then it would be potentially helpful if you needed “Earth” but destructive or at least weakening to metal and wood.  Properly accounting for these elements was important to achieve the results you were looking for, whatever that may be.   These were the kinds of things that were incorporated into traditional medicine practices, but also applied to auguries or divination about things like where and how to build a building.  Even today, Shrines will sell calendars that help people know the prominence of certain elements, and some folk remedies may look to balance elements, much as medieval European medicine was often designed to balance the four humors that ancient physicians believed were present in the human body. The chart of these five elements and their relationships is something you may have seen.  It is a five pointed star, often inside of a circle.  Of course this is also similar to a western pentagram, though typically drawn with the point of the star up, but it has nothing to do with Christian values or Satan, or anything similar.  Rather, it is just a way to represent these five elements, and you'll see it frequently in reference to Onmyoudou. The elements were used to categorize many different areas into groupings of five.  This includes grouping the various directions into five directions.  Of course, you may be wondering about that, since most societies usually mark four cardinal directions, and in this case, they did the same, but added the fifth as “center”.  And so you get things like the north is water.  It is related to cool, or cold weather.  It is represented with the color black. To the south, opposite of the north, is fire.  It is hot, and the color is red.  Of course, this probably doesn't take a huge leap to see the connections they drew: since these civilizations are in the northern hemisphere, the farther north you go, the colder it gets, and the farther south you travel, the warmer it gets, generally speaking, at least until you reach the equator. Meanwhile, the west was related to metal, and the color white, while the east was related to woods and forests, and the color…. Blue.  Alright, that last one, in particular, probably doesn't make sense to a lot of us.  After all, we likely associate blue with water, and wood, or trees, would be associated with brown or, possibly, green.  Well, in this case, it goes beyond that.  The north is water, but it is also associated with darkness—shorter days in the winter, and things like that Sothe association of north with black makes sense, but many also look at the ocean and don't necessarily see it as “blue”, or dark or even black, like Homer's famous “wine-dark sea”. Furthermore, although they have a word for it (midori), “green” was not a primary color in Japan, instead  considered more of a shade of “aoi”, or blue.  Even today they refer to a “green” traffic light as an “aoi shingo, not “midori” shingo.  So if you asked someone in the Asuka period to describe the wooded hills and fields, they would have likely used “aoi”.  And of course, we are missing the fifth element.  In the center we have the element earth and the color yellow. A lot of these different concepts were brought together during the Han period, when they were trying to syncretize all of the various philosophies and attempts to describe the world and bring them all together into a single system.  This meant that the Yijing, the wuxing theory, and others were mixed together with various other philosophies and theories of how the world work.  Things like the Shanhaijing, the Classic of Mountain and Seas, along with stories about immortals, the Queen Mother of the West, and more were all rolled together, and basically assumed to be true.  This included various real-world observations.  Therefore, there were many attempts to try and reconcile these various theories together. One of the other concepts, which we've discussed before, was the system of ten heavenly stems and the twelve earthly branches.  We've mentioned this before regarding the sexagenary style of counting the years, but we'll recap here.  The ten heavenly stems and the twelve earthly branches are concepts that go back to at least the legendary Shang period, and even show up in various bronzes Andit wasn't until later that they would be associated with other ideas.  The ten heavenly stems were each associated with one of the five elements, with each element being represented by a greater and lesser, or elder and younger, stem.  And then each of the twelve earthly branches were associated with animals—what we often call the Chinese Zodiac. We talked about how this applied to the calendar, in that it was used to track years in 60 year cycles, but also it was used to track days of the year.  The twelve earthly branches were also used for earthly directions.  The first, the rat, was in the north, and the order continued clockwise to the east, the south, west and then back to the north.  Now this means that the four cardinal directions—north, south, east, and west—all match up nicely with one of the twelve earthly branches, but as for northeast, southeast, southwest, and northwest?  Those were all combinations of two branches.  So, for instance, the northeast was a combination of the ox and the tiger, or ushi-tora. Speaking of eight directions, where have we also heard the number eight come up recently? That's right: the eight trigrams, or bagua.  So each one of those trigrams, each representing a different concept, got associated with a direction as well.  This makes it easier to see where practices of geomancy came from.   You had a system with complex, overlapping associations between concepts and the physical world, and in the Tang dynasty, they used all of this  to understand not only  how things had happened, but also how the world would be in the future—in other words, they tried to use it to make predictions.  Hence the “mancy”. In the Yamato state, all of this became an official part of the government under the Onmyoryou: a branch of the government whose job is to make observations and figure things out from there, for the good of the state and the people.  They made observations of the heavens to figure out how the calendar should be aligned—which months should come at what time, and when there should be “leap months”, or intercalary months, to keep various astronomical phenomena in the correct seasons, which were also further divided up into 24 periods.  They also kept track of the movement of bodies like the various planets, because those planets were also assigned values, and thought to affect the flow of energy within this framework.  And so comets, storms, eclipses, and more were all important because of the theory that everything in the heavens impacted and were reflections of how things were happening on the earth.  Similarly, these various discussions of white animals and other omens were likely captured and catalogued by these officials as well, attempting to figure out what they meant. All of this also influenced things like how palaces, buildings, and even capitals, would be built and laid out.  For the palace, it was important the the sovereign be in the north, looking south.  In fact, many maps would have south at the top because that is how a sovereign would be viewing it, were it stretched out before them.  And one would need to consider various features, including mountains and streams, as all of those things carried various meanings, but it wasn't as simple as just finding the one thing that could affect a person.  As they observed differences they would also have to catalogue what happened and try to determine what the cause could be, based on their understanding of the world.  And in the archipelago this would also include an understanding of Buddhist and local kami-based wisdom and knowledge as well. One of the things in the Chronicles that inspired this episode was something I actually mentioned last time,  a record from 666  talking about Chiyu, a Buddhist priest of the Yamato no Aya family, who presented a south-pointing chariot to the sovereign, Naka no Oe.  this appears to be the same Chiyu from a similar record in 658, which also refers to him building a south pointing chariot.  So did it take him eight years, or is he just now presenting it to the sovereign?  And what, exactly, is a south-pointing chariot? Well, as the name implies, a south-pointing chariot is a two-wheeled chariot that always points south.  More appropriately stated, it is a wheeled device with a figure on top, much like a weather vane, which always points south.  This is usually described as the figure of a person or an official pointing in the appropriate direction.  This was a mechanical, rather than a magnetic compass. As the chariot, or carriage, is wheeled around, the two wheels spin.  The wheels themselves are independently connected to a series of gears.  If the wheels spin at the same rate, then their movement cancels each other out.  However, if one wheel turns more than the other, then it will cause the figure on the top to rotate.  Of course, as the chariot turns to the right, the left wheel, traveling along the outer diameter, will travel farther than the right.  This will cause the figure to turn counter-clockwise to the left, but from an outside observer's perspective, it will continue to point in the same direction, even as the chariot itself turns.  Turning to the left would cause the opposite effect. Though it may have been used earlier, there appears to be reliable written evidence of a South Pointing chariot starting from the third century.  The first one was based on much earlier stories of a similar device, but it is unclear if it was a chariot, some other device, or even just a legend that was told as historical fact.  From the third century on the design appears to have been continuously improved upon. I should point out that all we have is descriptions—we don't have any actual south pointing chariots, let alone diagrams showing how the mechanisms worked.  There is the possibility that it used a kind of differential gear to work automatically, but we don't have any actual evidence.  There are other theories that it may have required some kind of manual switch, so that it would attach to one wheel or the other as needed.  That would require that the chariot be moving in either a straight direction or turning in one particular direction, which seems rather unwieldy. I noted some of the problems with this, and even moreso in a place like Japan, where 70% of the terrain is mountains.  Up and down hills, along paths that are likely anything but the smooth, paved surface we have for roads today—and even those have plenty of irregularities and potholes that could throw off any such device. And if you want to use it for any real distance, then you have to factor in other things, including the curvature of the earth.  After all, with the earth being a sphere, any chariot traveling due west to east or east to west, other than at the equator, would have one wheel traveling farther than the other one.  Granted, at the scale we are talking about, it probably is all but negligible, and the rough terrain and simple slippage of what were most likely wooden gears probably entered a lot more variability than the earth's curvature. One of the other issues is that the chariot only points “south” if you set it up to do so.   And if you know that, well, why do you need a south-pointing chariot?  Ultimately, it seems that this is more of a novelty item, good for impressing crowds and demonstrating some engineering principles, rather than an actual, useful invention.  After all, it was forgotten about and recreated multiple times, often centuries apart.  Had it been a truly useful invention, it probably would have been kept in constant use.  Meanwhile, I suspect that there were a fair number of farmers and others who knew that you could more easily and reliably use the sun and stars, as long as the weather was clear. There is also some evidence of an understanding of magnetic compasses since at least the 2nd Century BCE.  Early Han sources suggest that a spoon made of naturally magnetized ore could be placed on top of a polished bronze surface, and it would align itself north to south.  We don't have any actual surviving examples, however—there are later versions that you can find, where the plate is divided up into various directions, and then a magnetized “spoon” is placed on top, but nothing has actually come from Han tombs.  Furthermore, this seems to mostly be for geomantic purposes.  A more practical compass, with a magnetized needle, seems to have been developed by the 11th century, which could then be used for actual navigation. By the way, the “spoon” as a compass pointer may be in reference to the “Big Dipper” constellation, which was envisioned as a spoon, or ladle, in shape.  The seven stars were often used in geomancy, likely because of their importance, at least in the northern hemisphere, of pointing to the north.  So there's some thought that the “needles” of these early compasses weren't litterally  spoon shaped, but symbolically representive of the Big Dipper or the Northern Ladle.  Quick astronomy lesson, here.  If you are in the northern hemisphere, particularly from the 35th parallel to the north pole, you can see the seven stars that make up the constellation or asterism we know as the Big Dipper.   In English we sometimes also refer to this as Ursa Major, though technically the familiar seven stars are just a part of that larger constellation.  In Japan, the same constellation is often referred to as Hokuto Shichisei, the Seven Stars of the Northern Ladle.  It can be seen further south, but parts of it may dip below the horizon during the autumn season. It is important for several reasons.  One is that it is made up of particularly bright stars, which you can generally see even when other stars may not be visible.  Second, its distinctive shape lends itself to being easy to find in the sky.  And finally, if you draw a line between two of the stars at the end of the “cup” of the ladle, you can follow that line to find Polaris or hokkyokusei, the north star, which means you know which direction is north- and once  you know that, you can use it to figure out any other direction.  And Polaris is less than a degree off of true north, making it even more accurate than most magnets, as the magnetic pole can be quite different, depending on its current position, and magnetic north changes over time as the magnetic field around the earth fluctuates. That said, this was not necessarily the case in ancient times.  Four thousand years ago, the star closest to true north would have been the star Thuban, in the constellation Draco, a star that most of us probably haven't heard of.  Polaris, in the constellation Ursa Minor (the Little Bear, also known as the Little Dipper) apparently took over as the north star around 500 CE.  However, even before then, the mouth of the dipper could still be used to indicate north.  In fact, if you draw a line between two of the stars in the back of the constellation, then you also end up finding Thuban.  So even if the north star itself wasn't accurate, finding the dipper would still help you orient yourself, especially if you can find true north during the day and then compare that with the constellation at night. Which helps to understand why astronomy, or Tenmondou, was so important in the Onmyouryou.  Though it wasn't just a study of stars, but of the way of the heavens in general.  And the changes in the heavens, brings us to another important concept—the flow of energy across the seasons.  From the bright days of summer, filled with sunshine and yang energy, to the dark yin energy of winter's long, cold nights. It wasn't enough to just know what happened, and where, but when was also important. Obviously you need to know when to sow seeds, flood the fields, and harvest the rice.  Beyond that, though, you have other concepts, such as how the the day and hour of an event could be symbolically important. And of course, all of these had their own associations with various concepts of the flow of yin and yang energy. Now knowing the year, the month, and even the day is largely just a matter of counting.  But let's talk about something a little more tricky:  How do you know the hour? This brings us to the vignette at the top of the episode, about the clepsydra, or water clock, that Naka no Oe is said to have built. Now we talked about some of the fountains and similar things that have been discovered in the Asuka region back in episode 118.  One thing that they believe they also found evidence of is something called a water clock, which is, as its name suggests, a clock powered by water.  It is typically depicted as a series of three or more boxes or reservoirs that each hold an amount of water.  Water is placed in the top reservoir, and then a hole towards the bottom is unplugged and it is allowed to drain into the box beneath.  The hole is of a particular size, and thus the water flows at a constant rate, filling up the container below, which has a similar hole, etc. all the way to a reservoir at the very bottom.  The multiple boxes mean that the water level in the intermediate boxes stays relatively constant, resulting in relatively consistent pressure and flow rate.  The last reservoir has a measuring stick on a float, so that as the last box is filled with water, the measuring stick raises up.  Since it is rising at a constant rate, one can use that to tell how much time has passed, regardless of anything else.  Thus you can keep time even at night. There is a record of Naka no Oe making one in the fifth month of 660, and he would have another one built in 671, which we will discuss later.  It is interesting that both of these inventions appear twice in the narrative—once during the reign of Naka no Oe, aka Tenchi Tenno, and once during the previous reign, that of Takara Hime, aka Saimei Tenno.  In this case it is said that 671 is the first time that the water clock, or roukoku, was actually used. From what I can tell, there is nothing that definitively indicates that the Mizuochi site in Asuka was definitely the site of Naka no Oe's water clock.  There isn't much in the Chronicles telling us what it was like or where, exactly, it was built, and there wasn't anything found at the site naming it as the location of the roukoku.  However, the site is in a prominent enough place, with channels for water and a pavilion of some sort.  They definitely found evidence of pipes, remnants of lacquered wood, and reservoirs for water, among other things, that suggest something to do with moving water happened in this area.  So it seems a very strong choice, as it all fits with theoretical archeological reconstructions. A water clock like this is excellent for keeping accurate time at all hours of the day.  However, it does have a slight problem in that anyone without a clock is still going to have to use the sun and similar heavenly cues to know what time it is.  So how do you let them know?  Well, it turns out that the continent had an answer for that as well, and instituted various systems of drums and bells to let people know the hour.  In fact, some of these practices continued, in one form or another, right up to the modern day—with or without a water clock.  After all, the key was to give the community some sense of the passing of time, but I doubt anyone was using it to time things more precisely than a general idea of an hour—though they did have the concept of their own minutes and seconds.  Which brings us to just how they saw time back then. The system of time that the Chronicles seems to use also came over from the continent, where there appear to have been several different methods for telling time prior to accurate clocks.  And while there was an idea of dividing the entire day into twelve segments, the time as it was announced was not always consistent with those twelve segments, or hours.  Rather, time was based around the key parts of the day.  So, for instance there was sunrise, noon, sunset, and midnight.  And while noon and midnight remain exactly twelve hours apart, sunrise and sunset change with the seasons.  So if you call out sunrise, and then divide the time between sunrise and noon into equal segments of time, the size of those time segments change with the seasons.  On top of that, because of the tilt of the earth and our slightly irregular orbit around the sun, the sun appears to “move” across the sky faster or slower throughout the year, with a difference of about 30 minutes total between the extremes.  This isn't going to affect most people's daily lives, but would have been noticeable to those taking accurate measurements. In ancient Han, this appears to have been common in cities and towns, with a watch that would call out as they progressed on their rounds at set points in the day and night, relying largely on heavenly cues—which I suspect did not lead to the most accurate timekeeping, but it was sufficient for what most people needed.  The telling of time in this manner was partly to help with keeping track of the time of day, but was just as much an announcement that the watch was on duty and a warning to would-be criminals. Now a water clock was an excellent device for keeping track of a standard, absolute time, such as it were, but it required constant maintenance.  If you already have a watch calling out the time, perhaps they can also keep the water clock properly set, but you did have to have someone constantly filling it up and draining it at known points of the day.  Plus there was the problem that you only knew the time if you could check it, and this wasn't like a clock tower or something similar. And so in 671 it appears that Nak no Oe instituted the continental idea of drums and bells to announce the time to the people—or at least to those at the court.  We don't have a record of exactly how they were, used, but we can infer from other sources on the continent, and what we do know that some tradition of announcing the time with drums and bells continued to be employed in Japan until the Meiji era, though perhaps not without interruption:  Temples and the like had bell or drum towers, and as the day progressed they would beat out the time.  It was not, however, telling time as we might think of it, with one stroke at the first hour, two on the second, etc..  In fact, in many ways they counted backwards, and they only counted 12 hours, not our modern 24.  By the Edo period it seems that it was common practice to toll the bells nine times at noon and at midnight.  From there, they would count down, with 8 bells at roughly 2 o'clock, 7 bells at 4 o'clock, and 6 bells at 6 o'clock.  That would be another issue.  From 6 o'clock, the number of bells that would be tolled continued to decrease, so that at 8 o'clock it would be 5 bells, then 4 bells at 10 o'clock.  It would then jump back up to 9 and start over again. Why these numbers were used for the different hours we are not entirely sure, and I have no idea if these numbers were the same ones used back in the 7th century—though it does seem to match similar continental traditions.  Even the hours themselves were known by the twelve signs that came to be associated with the zodiac:  the hour of the rat, the hour of the ox, the hour of the tiger, etc.  Midnight fell in the middle of the hour of the rat, and noon fell in the middle of the hour of the horse, with each hour being almost exactly 2 hours by modern reckoning. There were other systems in use as well.  One divided the entire day up by 100 and then each of those divisions by another 10.  The key was whether or not it was an absolute or relative measurement. Something like the roukoku would indicate an absolute measurement.  After all, the fall of water from one reservoir to another was not affected by the change in seasons—at least as long as the water didn't freeze.  The flow was constant, as was the measurement of time. For those using other forms of reckoning, such as celestial phenomena or even a sundial, things might be a bit less accurate.  This was especially true when using concepts like “sunrise” and “sunset”.  Still, through observing the changes over the year, people eventually figured out charts and rules to help reconcile absolute forms of measurement with solar time.  There were other methods for telling time, as well.  Perhaps one of the more pleasant was the use of incense sticks.  By the time of the Tang dynasty, incense in stick form was relatively common, and it had been noticed that sticks of incense could burn at a fixed rate.  This meant that you could use incense sticks like candles were used in Europe, counting down how far they had burned to tell what time it was.  If you were really fancy, you could make a single stick out of different types of incense, so that as it hit a new hour, the scent would change, alerting you to the time through your olfactory senses. Speaking of time, we are coming to the end of ours for this episode.  We do have some more information on this on our website, Sengokudaimyo.com, and we'll have links to those sections of the website accompanying our blog. Next episode we will focus more on the reign of Naka no Oe, aka Tenji Tennou, from his seat at Otsu no Miya. Until then, thank you once again for listening and for all of your support. If you like what we are doing, please tell your friends and feel free to rate us wherever you listen to podcasts.  If you feel the need to do more, and want to help us keep this going, we have information about how you can donate on Patreon or through our KoFi site, ko-fi.com/sengokudaimyo, or find the links over at our main website,  SengokuDaimyo.com/Podcast, where we will have some more discussion on topics from this episode. Also, feel free to reach out to our Sengoku Daimyo Facebook page.  You can also email us at the.sengoku.daimyo@gmail.com.  Thank you, also, to Ellen for their work editing the podcast. And that's all for now.  Thank you again, and I'll see you next episode on Sengoku Daimyo's Chronicles of Japan.  

There's little doubt that music is an integral part of what it means to be human. But how did it first arise, how did musical instruments and compositions become ever more sophisticated and why does listening to or playing music bring us so much joy? In this episode, we speak to science writer and music producer David Darling about his latest book A Perfect Harmony: Music, Mathematics and Science. He tells us how the oldest pitched musical instrument found so far is thought to be more than 40,000 years old, the role music has played in the evolution of human culture, and what the impact AI-generated music may have on the work of human musicians and composers in the near future. Learn more about your ad choices. Visit podcastchoices.com/adchoices

Episode: 1379 Frank and Peter Griffin: teaching calculus.  Today, an obituary brings back memories.

Fr Patrick Ramsey explores the emergence of a totalitarian global empire, drawing parallels to biblical prophecies. Advancements in technology enable centralized control, with examples like "15-minute cities" and COVID passports cited as precursors to global governance. A major world crisis or war is anticipated to trigger the Antichrist's rise as a savior, restoring order amid chaos, with current global conflicts identified as potential catalysts. The conversation also delves into the increasing secularization and breakdown of traditional religious practices, particularly within Christianity, attributing it to a shift towards humanistic unity over doctrinal truth. It further examines the historical role of empires and the current "Pax Americana," distinguishing them from the prophesied global government, and posits that the weakening of powerful nations could accelerate worldwide conflict. Fr Ramsey also comments on Israel. Finally, the discussion underscores the importance of individual resistance, a "martyr mentality," and touches on the ideal relationship between church and state. Watch on BitChute / Brighteon / Rumble / Substack / YouTube Geopolitics & Empire · Fr Patrick Ramsey: Orthodox Views on Empire, Antichrist, & Martyr Mentality #558 *Support Geopolitics & Empire! Become a Member https://geopoliticsandempire.substack.com Donate https://geopoliticsandempire.com/donations Consult https://geopoliticsandempire.com/consultation **Visit Our Affiliates & Sponsors! Above Phone https://abovephone.com/?above=geopolitics easyDNS (15% off with GEOPOLITICS) https://easydns.com Escape Technocracy course (15% off with GEOPOLITICS) https://escapethetechnocracy.com/geopolitics PassVult https://passvult.com Sociatates Civis (CitizenHR, CitizenIT, CitizenPL) https://societates-civis.com Wise Wolf Gold https://www.wolfpack.gold/?ref=geopolitics Websites Saint George's Hermitage https://saintgeorgeshermitage.uk YouTube https://www.youtube.com/@SaintGeorgesHermitage Books https://www.amazon.co.uk/Minor-Clergy-Orthodox-Church-according-ebook/dp/B01A4CBGZ6 About Rev. Dr. Patrick (John) Ramsey Rev. Dr. Patrick (John) Ramsey is a priest-monk serving in the UK in a diocese of the Patriarchate of Antioch. He serves a small parish located in Norfolk in England. He is also an online tutor for the Institute for Orthodox Christian Studies in Cambridge, England. Originally from New Zealand, he's been an Orthodox Christian since 1996, a monk from 2006, and a priest since 2010. He has degrees in Mathematics, Law and Theology and he's published books on the Minor Clergy of the Orthodox Church (MTh dissertation) and on the Church (PhD dissertation). *Podcast intro music is from the song "The Queens Jig" by "Musicke & Mirth" from their album "Music for Two Lyra Viols": http://musicke-mirth.de/en/recordings.html (available on iTunes or Amazon)

Head on over to https://cell.ver.so/TOE and use coupon code TOE at checkout to save 15% on your first order. Get ready to witness a turning point in mathematical history: in this episode, we dive into the AI breakthroughs that stunned number theorists worldwide. Join us as Professor Yang-Hue Hi discusses the murmuration conjecture, shows how DeepMind, OpenAI, and EpochAI are rewriting the rules of pure math, and reveals what happens when machines start making research-level discoveries faster than any human could. AI is taking us beyond proof straight into the future of discovery. As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Join My New Substack (Personal Writings): https://curtjaimungal.substack.com Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e Timestamps: 00:00 Introduction to a New Paradigm 01:34 The Changing Landscape of Research 03:30 Categories of Machine Learning in Mathematics 06:53 Researchers: Birds vs. Hedgehogs 09:36 Personal Experiences with AI in Research 11:44 The Future Role of Academics 14:08 Presentation on the AI Mathematician 16:14 The Role of Intuition in Discovery 18:00 AI's Assistance in Vague Problem Solving 18:48 Newton and AI: A Historical Perspective 20:59 Literature Processing with AI 24:34 Acknowledging Modern Mathematicians 26:54 The Influence of Data on Mathematical Discovery 30:22 The Riemann Hypothesis and Its Implications 31:55 The BST Conjecture and Data Evolution 33:29 Collaborations and AI Limitations 36:04 The Future of Mathematics and AI 38:31 Image Processing and Mathematical Intuition 41:57 Visual Thinking in Mathematics 49:24 AI-Assisted Discovery in Mathematics 51:34 The Murmuration Conjecture and AI Interaction 57:05 Hierarchies of Difficulty 58:43 The Memoration Breakthrough 1:00:28 Understanding the BSD Conjecture 1:01:45 Diophantine Equations Explained 1:03:39 The Cubic Complexity 1:19:03 Neural Networks and Predictions 1:21:36 Breaking the Birch Test 1:24:44 The BSD Conjecture Clarified 1:26:21 The Role of AI in Discovery 1:30:29 The Memoration Phenomenon 1:32:59 PCA Analysis Insights 1:35:50 The Emergence of Memoration 1:38:35 Conjectures and AI's Role 1:41:29 Generalizing Biases in Mathematics 1:44:55 The Future of AI in Mathematics 1:49:28 The Brave New World of Discovery Links Mentioned: - Topology and Physics (book): https://amzn.to/3ZoneEn - Machine Learning in Pure Mathematics and Theoretical Physics (book): https://amzn.to/4k8SXC6 - The Calabi-Yau Landscape (book): https://amzn.to/43DO7H0 - Yang-Hui's bio and published papers: https://www.researchgate.net/profile/Yang-Hui-He - A Triumvirate of AI-Driven Theoretical Discovery (paper): https://arxiv.org/abs/2405.19973 - Edward Frenkel explains the Geometric Langlands Correspondence on TOE: https://www.youtube.com/watch?v=RX1tZv_Nv4Y - Stone Duality (Wiki): https://en.wikipedia.org/wiki/Stone_duality - Summer of Math Exposition: https://some.3b1b.co/ - Machine Learning meets Number Theory: The Data Science of Birch–Swinnerton-Dyer (paper): https://arxiv.org/pdf/1911.02008 - The L-functions and modular forms database: https://www.lmfdb.org/ - Epoch AI FrontierMath: https://epoch.ai/frontiermath/the-benchmark - Mathematical Beauty (article): https://www.quantamagazine.org/mathematical-beauty-truth-and-proof-in-the-age-of-ai-20250430/ SUPPORT: - Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join - Support me on Patreon: https://patreon.com/curtjaimungal - Support me on Crypto: https://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9 - Support me on PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 SOCIALS: - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs #science Learn more about your ad choices. Visit megaphone.fm/adchoices

My guest today is Dr. Aditya Nagrath, who holds a PhD in Mathematics and Computer Science. With over 30 years of industry experience as a software engineer, author, and entrepreneur, he's worked on everything from atomic clocks to Amazon's Kindle Fire. As founder of Elephant Head Math software and the Elephant Learning Math Academy, he's developed an online system that helps children learn about a year and a half of math in just 10 weeks when used 30 minutes per week.   In our conversation, Dr. Nagrath outlines three distinct steps to master new math concepts – define, recognize, and produce. He explains the crucial "language gap" in mathematics, and explores the difference between recognizing math symbols on paper versus truly understanding and applying mathematical concepts. Most importantly, we discuss math anxiety and what children need to overcome it.   Get full show notes, transcript, and more information here: https://planningplaytime.com/101

In his new book, Blueprints, Marcus du Sautoy traces the connections between mathematics and art and the ways in which creatives use numbers to underpin their work – unconsciously or otherwise. From the earliest stone circles to the unique architecture of Zaha Hadid, du Sautoy shows us that there are blueprints everywhere and how logic and aesthetics are intrinsically intermingled. Sophie Pavelle is also interested in connections and her forthcoming book, To Have or To Hold, explores symbiotic relationships in nature. Focusing on eight key examples, Sophie Pavelle explains how these mutually beneficial connections are crucial for the survival of our natural world and how they play an integral role in regulating ecosystems and strengthening resilience. She asks if we are capable of restoring and nurturing our environment or will we continue to exploit the Earth's resources, till death do us part? The British Museum's new exhibition illuminates the captivating work of the nineteenth-century Japanese artist, Utagawa Hiroshige (from 1st May to 7th September 2025). He was fascinated by the natural world and many of his pictures take flora and fauna as their subject matter. Hiroshige was one of Japan's most talented, prolific and popular artists and his influence was not only felt in his home country, but spread globally – influencing artists such as Vincent Van Gogh and contemporary artists such as Julian Opie. The curator of the exhibition, Alfred Haft, shines a light on the oeuvre of Hiroshige, his techniques and enduring legacy.Producer: Natalia Fernandez

Episode: 1375 Leibniz, Newton, and the great calculus dispute.  Today, we throw Leibniz's cat into the super collider.

On this episode of ID the Future from the archive, Andrew McDiarmid talks with science historian Michael Keas about pioneering mathematical astronomer Johannes Kepler, based on Keas's book Unbelievable: 7 Myths About the History and Future of Science and Religion. Kepler studied theology before turning to math and science, and it was his belief in God that guided his extraordinary discoveries. Kepler is one of several great scientists of early modern science whose convictions about God's nature inspired their groundbreaking investigations. Source

From the earliest stone circles to Mozart's obsession with numbers to the radically modern architecture of Zaha Hadid, maths and creativity are interwoven across time and space. Whether we are searching for meaning in an abstract painting or finding patterns in poetry, there are blueprints everywhere: symmetry, prime numbers, the golden ratio and more. In May 2025 we were joined by award-winning mathematician and Oxford professor Marcus du Sautoy as he looked to the arts to uncover the key mathematical structures that underpin both nature and human creativity. Drawing on his new book, Blueprints, du Sautoy explored how we make art, why a creative mindset is vital for discovering new mathematics, and how a fundamental connection to the natural world intrinsically links these two subjects. ----- If you'd like to become a Member and get access to all our full ad free conversations, plus all of our Members-only content, just visit intelligencesquared.com/membership to find out more. For £4.99 per month you'll also receive: - Full-length and ad-free Intelligence Squared episodes, wherever you get your podcasts - Bonus Intelligence Squared podcasts, curated feeds and members exclusive series - 15% discount on livestreams and in-person tickets for all Intelligence Squared events  ...  Or Subscribe on Apple for £4.99: - Full-length and ad-free Intelligence Squared podcasts - Bonus Intelligence Squared podcasts, curated feeds and members exclusive series … Already a subscriber? Thank you for supporting our mission to foster honest debate and compelling conversations! Visit intelligencesquared.com to explore all your benefits including ad-free podcasts, exclusive bonus content and early access. … Subscribe to our newsletter here to hear about our latest events, discounts and much more. https://www.intelligencesquared.com/newsletter-signup/ Learn more about your ad choices. Visit podcastchoices.com/adchoices Learn more about your ad choices. Visit podcastchoices.com/adchoices

From the earliest stone circles to Mozart's obsession with numbers to the radically modern architecture of Zaha Hadid, maths and creativity are interwoven across time and space. Whether we are searching for meaning in an abstract painting or finding patterns in poetry, there are blueprints everywhere: symmetry, prime numbers, the golden ratio and more. In May 2025 we were joined by award-winning mathematician and Oxford professor Marcus du Sautoy as he looked to the arts to uncover the key mathematical structures that underpin both nature and human creativity. Drawing on his new book, Blueprints, du Sautoy explored how we make art, why a creative mindset is vital for discovering new mathematics, and how a fundamental connection to the natural world intrinsically links these two subjects. ------ This is the first instalment of a two-part episode. If you'd like to become a Member and get access to all our full ad free conversations, plus all of our Members-only content, just visit intelligencesquared.com/membership to find out more. For £4.99 per month you'll also receive: - Full-length and ad-free Intelligence Squared episodes, wherever you get your podcasts - Bonus Intelligence Squared podcasts, curated feeds and members exclusive series - 15% discount on livestreams and in-person tickets for all Intelligence Squared events  ...  Or Subscribe on Apple for £4.99: - Full-length and ad-free Intelligence Squared podcasts - Bonus Intelligence Squared podcasts, curated feeds and members exclusive series … Already a subscriber? Thank you for supporting our mission to foster honest debate and compelling conversations! Visit intelligencesquared.com to explore all your benefits including ad-free podcasts, exclusive bonus content and early access. … Subscribe to our newsletter here to hear about our latest events, discounts and much more. https://www.intelligencesquared.com/newsletter-signup/ Learn more about your ad choices. Visit podcastchoices.com/adchoices Learn more about your ad choices. Visit podcastchoices.com/adchoices