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.
Curt Jaimungal Interview and Theories of Everything - Sociology and Pure Maths
Exploring diverse topics from physics and mathematics to consciousness and UFOs, this wide-ranging interview delves into theories of everything, sociological aspects of science, and the intersection of academic disciplines.
History of Geometry IV - The Emergence of Higher Dimensions - Sociology and Pure Maths
Explore the emergence of higher dimensions in 19th-century geometry, including projective geometry, cyclography, and spaces of lines and curves, revolutionizing our understanding of mathematical spaces.
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.
Ancient Astronomy in Babylon and China - Math History - NJ Wildberger
Explore ancient Babylonian and Chinese astronomy, examining celestial observations, coordinate systems, and angular measurements that laid the foundation for modern astronomical understanding.
Arithmetic With Rectangles - Elementary Mathematics Explained
Explore arithmetic fundamentals using rectangles. Learn counting, addition, and multiplication with visual representations suitable for young learners. Develop a strong foundation in basic mathematical concepts.
Theory Seminar - Submodular Maximization
Explore submodular maximization techniques, recent advances, and open questions in combinatorial optimization with Professor Niv Buchbinder's comprehensive theory seminar.
Learning from Data: The Two Cultures
Explore statistical and task modeling approaches in AI, their strengths, limitations, and the importance of integrating principles from both cultures for more robust and responsible machine learning.
Linear Algebra 2: Gauss-Jordan Elimination
Learn Gauss Jordan Elimination for solving systems of equations efficiently. Master this powerful technique to simplify complex linear algebra problems and enhance your problem-solving skills.
Prelinear Algebra - Essential Concepts for Linear Algebra
Comprehensive introduction to vectors, trigonometry, and geometry as foundational concepts for Linear Algebra, with applications in various fields like physics, economics, and machine learning.
Sense-Making - Accounting for Intelligibility - IPAM at UCLA
Exploring mathematical accounting systems for collective intelligence, focusing on sense-making as a key component in understanding and articulating the phenomenon of intelligence.
Tropical Solutions to Hard Problems in Auction Theory
Explore tropical mathematics' applications in auction theory, neural networks, and statistics through polytopes, algorithms, and semigroup matrices, unveiling powerful problem-solving techniques.
Edith Elkind- Coalitional Games on Sparse Social Networks
Explore coalitional games on social networks, analyzing graph structures, computational complexity, and solution concepts for connected subsets of agents.
Mathematical Modeling of Diseases Spread - The Dextrous Use of Simple Machine-Learning Tools
Explore machine learning techniques for modeling disease spread, focusing on data preparation, model training, and interpreting results to inform public health policies.
Building Human Intelligence at Scale, to Save the Next Generation from ChatGPT
Innovative approaches to scale human intelligence and education in the era of AI, drawing from game theory and real-world problem-solving experiences across mathematics, pandemic control, and live math education.
Resurgence Theory - Generalised Borel-Laplace Summation, "Alien Calculus" by David Sauzin
Explore advanced mathematical concepts in Resurgence Theory, including Borel-Laplace summation and "alien calculus," with applications in physics and dynamical systems.
Geometry and Topology of Decision
Explore geometric and topological approaches to decision-making when faced with conflicting expert opinions, examining theoretical concepts and practical applications in various scenarios.
Looking for Geometry in the Supreme Court
Exploring geometric approaches to analyze U.S. Supreme Court voting behavior, discussing recent investigations using planar geometry and phylogenetic trees, and suggesting future directions in topology and geometry.
Introduction to Nonlinear Dynamics - The Case of Catastrophe Theory by Vishwesha Guttal
Explore nonlinear dynamics and catastrophe theory in finance and macroeconomics. Learn alternative frameworks for analyzing modern financial systems and their economic impacts.
Fan Ye, Harvard University - 2-Torsions in Singular Instanton Homology
Exploration of 2-torsions in singular instanton homology for knots, comparing complex and Z/2 coefficients, with focus on fibered knots and genus 1 knot surgeries.
Dancing with Braids
Explore the mathematical concept of braids through dance and movement, blending art and science in this innovative presentation by Nancy Scherich from ICERM.