Understanding vs. Believing - The Power of Critical Thinking
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辩论的魅力 - 规则、形式和技巧
探索辩论的规则、形式和技巧，了解一位高中生的辩论之旅，深入Public Forum辩论的世界。
Principles of Mathematical Thinking for Everyday Life
Discover key principles of mathematical thinking for everyday life from Fields Medal winner Pierre-Louis Lions, with insights for aspiring mathematicians and math educators.
Why Does Maths Give Humans the Edge Over Machines? - With Junaid Mubeen
Exploring human mathematical intelligence and its advantages over machines, highlighting reasoning, imagination, and questioning as key principles that give humans an edge in problem-solving.
The Hidden Geometry of Everything - With Jordan Ellenberg
Explore how geometry underlies diverse fields, from computer chess to democratic representation, revealing hidden mathematical patterns that shape our world and solve complex problems.
The Million Dollar Equations - With Tom Crawford
Explore four of the seven unsolved million-dollar math problems, including the Riemann hypothesis and P vs NP, with Oxford mathematician Tom Crawford in this engaging lecture on complex mathematical concepts.
The Maths of Contagion: Why Things Spread and Why They Stop - With Adam Kucharski
Explore mathematical models for disease spread, misinformation, and internet memes. Learn how outbreaks occur, why some are predictable, and strategies for controlling epidemics and viral content.
How Not to Fall for Bad Statistics - With Jennifer Rogers
Uncover the truth behind misleading statistics in media. Learn to critically analyze data, understand risk, and differentiate between correlation and causation for informed decision-making.
What Happens When Maths Goes Wrong? - With Matt Parker
Explore real-world consequences of mathematical errors with comedian Matt Parker. From bridge collapses to plane crashes, discover how small miscalculations can lead to big disasters in this entertaining and eye-opening talk.
Geometry - An Interactive Journey to Mastery
Explore geometric concepts like polyhedrons, volume, and surface area through interactive lessons. Master logical reasoning and problem-solving skills applicable to various fields and everyday life.
Is Pure Mathematics Logically Viable? Five Challenges - Sociology and Pure Maths
Exploring five challenges to pure mathematics' logical viability, this talk critically examines the field's foundations and encourages reevaluation of its core principles and practices.
Sociology and Pure Mathematics - Pure Mathematics Relies on a Fake Arithmetic
Challenges modern pure mathematics' reliance on "fake arithmetic," proposing alternative approaches to calculus without infinite processes and calling for sociological analysis of mathematical practices.
What Exactly Is a Set - Data Structures in Mathematics Math Foundations
Explores the concept of sets in mathematics, discussing definitions, challenges, and criticisms of modern set theory. Examines everyday usage, examples, and foundational issues in mathematical logic.
Steiner's Regions of Space Problem - Famous Math Problems
Exploration of Steiner's space division problem, analyzing how many regions n planes can create in space, with insights into the analogous 2D problem and mathematical reasoning.
The Decline of Rigour in Modern Mathematics - Real Numbers and Limits
Explores the decline of mathematical rigor, discussing Euclid's Elements, proof concepts, and problematic topics in modern mathematics. Examines reasons for this decline and its impact on mathematical foundations.
How to Create the Best Contest Problems
Insights on crafting engaging math contest problems from two expert educators. Learn techniques for designing challenging, creative, and thought-provoking mathematical puzzles.
Generalizing the Right Angle
Explore the concept of generalizing right angles, extending geometric principles beyond traditional 90-degree angles for a deeper understanding of mathematical relationships.
Problem Solving - Techniques from Number Theory
Explore key Number Theory concepts and techniques for solving math competition problems, with practical examples including a 1985 AIME question.
No Simple Groups of Order 66 or 144
Explore advanced group theory using Sylow's Theorems to prove the non-existence of simple groups with specific orders, demonstrating powerful algebraic techniques.
Real Analysis - The Fundamental Theorem of Calculus
Comprehensive proof of both parts of the Fundamental Theorem of Calculus, demonstrating the relationship between differentiation and integration in real analysis.
On the MLC Conjecture by Misha Lyubich
Explore the MLC Conjecture with Misha Lyubich in this interactive lecture, offering insights into complex dynamics and opportunities for audience engagement.