検索キーワード： 数学

What if the numbers guiding your biggest decisions were never meant for you? From weather forecasts to medical risks, investment advice to AI predictions, probability surrounds modern life—offering the appearance of certainty in an uncertain world. Yet most people don’t realize: probability is a powerful tool, but only under the right conditions. Misapplied, it doesn’t just fail—it misleads. This book reveals the hidden structure behind when probability works, when it doesn’t, and why it so often feels precise but proves personally wrong.

In Gödel’s Shadow: Why No System Can Explain Itself, Boris Kriger explores one of the most unsettling discoveries of modern logic and follows its consequences far beyond mathematics. Beginning with Gödel’s incompleteness theorems, the book traces how any system capable of describing itself inevitably encounters truths it cannot justify from within. What emerges is not a technical puzzle, but a profound philosophical insight into the nature of reason, meaning, and explanation.

What if the "wisdom of the ages" isn't poetry, but fossilized data? In Foundations of Intellectual Substrate Mining, Boris Kriger shatters the boundary between the humanities and hard systems science. He proposes that our cultural heritage—proverbs, maxims, and ancient doctrines—is actually a high-density Intellectual Substrate: a record of formal laws tested by reality over millennia and compressed into "lossy" linguistic forms. Stop interpreting. Start mining.

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The epic story of how a handful of surprisingly simple mathematical ideas have sparked today’s technological breakthroughs—from Netflix’s recommendation algorithm to medical imaging to artificial intelligence and beyond—while also slipping further and further from our understanding, with...

Welcome to The Infinite Equation, the podcast where the elegance of mathematics meets the depth of philosophical statements. Join as we travel through numbers and thought, exploring the deep connections between mathematics and philosophy.

Explore the deadly elegance of finance's hidden powerhouse. The Money Formula takes you inside the engine room of the global economy to explore the little-understood world of quantitative finance, and show how the future of our economy rests on the backs of this all-but-impenetrable industry. This book traces the development of financial derivatives from bonds to credit default swaps, and shows how mathematical formulas went beyond pricing to expand their use to the point where they dwarfed the real economy.

'Fresh, clever and playful . . . an absorbing book' MATT RIDLEY, AUTHOR OF THE ORIGINS OF VIRTUE 'A wonderful book' YOAV SHOHAM, STANFORD UNIVERSITY 'Michael explains the complex, strategic structures of our world with masterful beauty' - MILIND TAMBE, HARVARD UNIVERSITY 'Effortlessly covers a...

We all like to think we're making decisions based on reality, but in fact, we're almost always working from incomplete information. And when 'you don't know what you don't know', it can be impossible to navigate successfully. In You Don't Know What You're Missing mathematician Kit Yates explores...

The Random Pattern explores the uneasy space where mathematics collides with human intuition. Every week, we examine randomness, probability, and the persistent belief that hidden systems govern events that are, in reality, independent and unpredictable. From lottery strategies and coincidence theories to cognitive bias and statistical illusion, this podcast asks a simple question: Why does the human mind insist on finding meaning where mathematics says none exists? Rather than promising predictions, we break down the structure of uncertainty itself. Using clear explanations of probability, ...

This playbook for thriving in the innovation era reveals the secret of high-performing teams through the captivating fable of Stone Soup, a story packed with profound insights into how human psychology, collaboration, and game theory intersect to create breakthrough results. Technology...

Get Into STEM is a new podcast supporting Australian educators to engage every student in meaningful STEM learning, regardless of background, ability, or experience. Join STEM educator, writer, and creative Michelle Hamill in season one as she chats with guests about creating neuro‑affirming STEM classrooms, the role of school leaders in STEM education, citizen science in schools, and the opportunities and resources available across the STEM education landscape.

What if meaning is not an illusion, but a missing dimension? Modern science describes the world with extraordinary precision, yet it struggles to account for one of the most influential forces shaping human behavior: meaning. Beliefs, intentions, symbols, and narratives guide perception, constrain action, and stabilize shared reality—yet they resist full explanation in terms of space, time, and energy alone.

What if topology were not about objects, but about transformations? Not about space, but about the conditions under which identity persists? This book invites listeners into a radical rethinking of mathematics—not as a solemn march of proofs, but as a living practice of imaginative stability, structural openness, and conceptual play. Moving through classical theory, unresolved conjectures, and emerging landscapes of abstraction, this work reframes topology as a mode of thought that thrives on deformation, ambiguity, and partial knowledge.

Data Science Leaders: The premiere podcast for executives tackling the world’s most important challenges with the power of machine learning and artificial intelligence. Join host, Thomas Been, as we interview pioneering data science leaders and industry watchers to unearth the secrets to driving transformative business outcomes—and avoiding a myriad of pitfalls—with the latest ML & AI technologies. Our conversations are full of real stories, breakthrough strategies, and unique insights to help you build your own model for enterprise data science success.

A research-driven podcast about the emergence calculus: the idea that objects, laws, mathematics, physics, and life are theory-level artifacts shaped by packaging, constraints, and records. Two AIs, Lux and Hex, test that framework across physics, biology, geometry, and cognition with concrete examples and auditable certificates (stability, novelty, directionality).

We often treat data cleaning as a neutral step.Delete missing rows. Fill gaps with the mean. Move on.But cleaning is not neutral. It is a modeling decision.In this episode, we unpack the statistical consequences of deletion and simple imputation, and why what looks “clean” can fundamentally alter your estimand, distort variance, and bias inference.We walk through:The formal role of the missingness indicatorThe difference between MCAR, MAR, and MNARWhy complete-case analysis is rarely as safe as it seemsHow mean imputation collapses variance and attenuates regression slopesWhen multiple ...

Brought to you by Penguin. From the internationally bestselling author, a revealing look at the surprising numbers that uncover the hidden forces shaping our world What do marriage, milk and the black market tell us about the state of humanity? Most people would say, not much at all. But the...

Der Zufall regiert unsere Welt. Mit welchen Zahlen man morgen im Lotto gewinnt oder wo es in zwei Jahren regnen wird, ist reine Glückssache. Trotzdem gehen wir davon aus, dass sich die Welt an berechenbare Naturgesetze hält wie eine Uhr, in der ein Zahnrad das nächste bewegt. Wenn man sich auf die Suche nach den wissenschaftlichen Wurzeln des Zufalls begibt, stößt man auf Schmetterlinge, die mit einem Flügelschlag den Lauf der Welt verändern, auf winzige Teilchen, die ihre Eigenschaften ganz zufällig festlegen, und auf genetische Mutationen, die das Leben in neue Bahnen lenken.

BRIEF ANSWERS TO THE BIG QUESTIONS, the final book from Stephen Hawking is a personal view on the challenges we face as a human race, and where we, as a planet, are heading next உலகின் மாபெரும் சிந்தனையாளர்களில்...