measure theory

Adam Neely examines Phil Ewell's paper arguing Western music theory is framed by a white racial perspective. He covers North Indian theory, alternative frameworks, Schenker and responses to the paper.

The first lecture in Bartosz Milewski's category theory series for programmers. It covers the motivation and philosophy behind category theory and why composition matters for handling complexity.

Physicist Angela Collier's roughly hour-long video on how string theory was hyped to the public and what that did to science communication. She traces the history of the theory as a narrative and argues it is interesting but was oversold.

Andrew Huang teaches the basics of music theory in about half an hour, covering intervals, chords and patterns. He stresses understanding how music works over memorizing terminology.

The first lecture of David MacKay's Cambridge course on information theory, pattern recognition and neural networks. It introduces the core ideas of his book Information Theory, Inference, and Learning Algorithms.

Eugenia Cheng gives the opening keynote at Lambda World 2017, presenting category theory as very abstract algebra whose abstraction gives it broad applicability. She applies it to everyday questions including privilege and prejudice.

Tom LaGatta's talk on category theory at a 2014 LispNYC meetup, covering objects, morphisms and the basic ideas in an informal, conversational style. It runs about 97 minutes.

Sixty Symbols interviews Nottingham cosmologist Tony Padilla, who says string theory deserves to be taken seriously. He explains how strings emerged from the equations rather than being invented.

3Blue1Brown uses Wordle as an excuse to teach information theory and entropy, building a solver that picks guesses by expected information and incorporating word frequencies.

Erik Meijer argues that category theory is the mathematicians' version of interface-based design. He shows that Java 8 lambdas and method references form a Cartesian closed category.

A talk by Eric Weinstein on gauge theory and its possible application to economics and inflation. It proposes extending the Wu-Yang dictionary into a geometric tool beyond physics.

3Blue1Brown builds intuition for Euler's formula, e^(pi i) = -1, using the core ideas of group theory. It treats exponentiation geometrically as rotation and scaling instead of repeated multiplication.

ScienceClic gives a 15-minute animated introduction to quantum field theory, covering fields, spin, conserved quantities, the standard model and interactions.

Adam Neely analyzes vaporwave through music theory, timbre and nostalgia, and includes a parody track made for the video. He also touches on the phenomenology of music.

Veritasium explores the Prisoner's Dilemma and Axelrod's tournaments, showing why tit-for-tat and forgiving strategies win in repeated games. It extends the ideas to cooperation in evolution and conflict.

A PBS Space Time episode introducing de Broglie-Bohm pilot wave theory, an interpretation of quantum mechanics that avoids much of the strangeness of the mainstream views. It is aimed at curious lay viewers.

Adam Savage shows a set of Mitutoyo ceramic gauge blocks and uses them to explain metrology, the science of measurement. He argues that accuracy and precision work differently than most people assume, which changes how you think about every measuring tool.

Ben Krasnow of Applied Science shows that a plain laser diode can measure sub-micron vibrations from centimeters away using self-mixing interferometry, and can also be used for range-finding.

Gil Tene of Azul Systems explains common pitfalls in measuring latency and response time, including why averages mislead and the problem of coordinated omission. He introduces open source tools like HdrHistogram for better measurement and reporting.

Vsauce's roughly 24 minute explainer on the Banach-Tarski paradox, building from infinity and set theory to the decomposition of a sphere into pieces that form two spheres.

Lex Fridman interviews University of Glasgow chemist Lee Cronin about the origin of life, aliens, complexity and consciousness. The conversation centers on Cronin's assembly theory.

Looking Glass Universe explains de Broglie-Bohm pilot wave theory (Bohmian mechanics) as an alternative to the standard interpretation of quantum mechanics. The video lays out the pros and cons of the theory and links to related videos on contextuality and entanglement.

Isaac Arthur examines the Dark Forest theory, Cixin Liu's proposed solution to the Fermi Paradox in which civilizations stay silent and may destroy any that reveal themselves. He tests the theory's underlying assumptions and arguments.

The first part of a four-part Channel 4 (UK) documentary series presented by Howard Goodall, this episode covers melody and why tunes affect us so deeply. It explains how melody works in Western music with historical background and music theory.

3Blue1Brown introduces group theory and abstract groups, then builds toward classification of finite simple groups and the enormous Monster group with its 196,883 dimensions.

A video essay from Pop Culture Detective arguing that The Big Bang Theory normalizes sexism and toxic masculinity through its portrayal of nerd men. It analyzes recurring tropes in how the male leads treat women.

A short parody that removes the laugh track from The Big Bang Theory to show how unfunny the scenes are without it.

CGP Grey's animated adaptation of The Dictator's Handbook, explaining how rulers stay in power by keeping a small group of key supporters happy rather than ruling fairly. It lays out selectorate theory and how resources shape regimes.

A feature-length Defunctland documentary on the history of Disney's FastPass and FastPass+ expedited queue systems. It covers how the systems evolved and how they were designed, with simulation of their effects on park lines.

Leonard Bernstein's 1973 Norton Lectures at Harvard, starting with Musical Phonology. He draws analogies between music and linguistics, including references to Chomsky.

Adam Neely's Ableton Loop 2017 talk links rhythm, pitch and synaesthesia. He shows that polyrhythms sped up become chords, so tempo and pitch are related by ratios.

Ben Krasnow of Applied Science builds and operates a simple mass spectrometer, using it to measure potassium isotopes in a salt substitute. He explains the design choices and the theory behind it.

Lex Fridman interviews Jeff Hawkins, founder of Numenta and author of On Intelligence, about the Thousand Brains Theory and reverse-engineering the neocortex. They also cover Hierarchical Temporal Memory and brain-inspired AI architectures.

Clayton Christensen's TEDx talk applying business theory to personal life. He argues that career success is not the right measure of a life and urges attention to relationships and values.

The Game Theorists analyze how PewDiePie rose to become the most subscribed channel on YouTube. The video looks at why let's plays and gaming channels thrive on the platform.

Ben Krasnow of Applied Science builds a DIY microbalance from an analog panel meter with an optical servo loop. It reaches about 5 micrograms of precision and is used to weigh a single eyelash at around 35 micrograms.

An animated Sprouts video presenting Dietrich Bonhoeffer's argument that stupidity is more dangerous than evil, because reason cannot reach stupid people. It frames stupidity as a social and moral phenomenon.

Veritasium explains why the one-way speed of light has never been measured, only the round-trip speed, since measuring it requires synchronized clocks that assume the answer. It explores the implications for relativity.

Chris Ford builds up from a single sine wave through layered abstractions to a Bach canon, using Clojure and the Overtone audio environment. The talk shows music theory as a natural fit for functional programming.

An animated visualization of basic quantum mechanics using a free particle, with simulations based on the actual equations. It covers waves, particles, and how measurement collapses the wavefunction.