set theory

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.

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.

Techmoan's beginner introduction to the compact cassette, testing metal tapes and Dolby S noise reduction on a Sony TC-S1 deck. He checks whether a cassette can sound close to a CD when good tape and equipment are used.

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.

Eduardo Briceno gives a TEDx talk on mindset, contrasting fixed and growth views of ability. He argues that believing abilities can be developed encourages challenge, deliberate practice and grit.

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.

Climate Town's comedic explainer on carbon offsets and whether companies can buy their way out of climate change. It argues that offsets won't save us, while granting they are not bad in principle.

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 short clip from the Dutch program Nieuwsuur in which Julian Assange appears to suggest that murdered DNC staffer Seth Rich was the source of the WikiLeaks DNC emails.

Professor Brailsford of the University of Nottingham describes how the university set out to print its own mathematics exam papers in the 1980s. The story centers on getting a Mergenthaler Linotron 202 typesetter to work with their own software.

GE Lighting's official how-to for factory resetting C by GE smart bulbs, using a long sequence of precisely timed on and off cycles.

A one-minute AJ+ clip of a Palestinian woman confronting an Israeli settler in Sheikh Jarrah over taking her family's home.

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.

Jared Owen's 3D animated breakdown of how a Brunswick GS-X bowling pinsetter works, showing its mechanisms for sweeping, lifting and resetting pins and balls.

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.

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 SILE author's FOSDEM 2015 talk introducing SILE, a TeX-inspired typesetting system with frame-based layout, Unicode, OpenType and a Lua-based extensible design.

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

Tested gets hands-on with four Meta Reality Labs research VR headset prototypes testing resolution, brightness, focus shifting and form factor, plus an interview with Mark Zuckerberg on display technology.

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.

Wendover Productions examines why carbon offsets so often fail to reduce emissions, covering specific examples and the perverse incentives in offset schemes.

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.

Numberphile with Dr Holly Krieger shows how the digits of pi surprisingly emerge from the Mandelbrot set. A short, accessible math explainer.

A Last Week Tonight segment explaining carbon offsets, what they claim to do, and how they may worsen climate change. It looks at perverse incentives and questionable projects.

Julia Galef introduces the soldier versus scout metaphor for two approaches to thinking, using the Dreyfus Affair as the illustration. She argues the scout mindset leads to better judgment.

In a CNBC interview with Becky Quick, Warren Buffett explains why he sees bitcoin as an asset that produces nothing. He contrasts it with productive assets such as a farm.

Vsauce's Michael Stevens takes viewers past infinity using transfinite numbers, ordinals and cardinals, with input from mathematician Hugh Woodin. It is a fast-paced, mind-bending tour of different sizes of infinity.

Numberphile's James Grime explains Cantor's result that some infinities are bigger than others, including why the reals outnumber the integers. It is a short, accessible introduction to countable and uncountable infinity.

Veritasium shows how Hilbert's infinite hotel can still run out of room, using infinite buses of guests. It explains the surprising answer in a short animated segment.

Jake Archibald's JSConf.Asia 2018 talk "In the Loop" explains the browser event loop, covering tasks, microtasks, requestAnimationFrame, and how rendering interleaves with JavaScript. It uses visual walkthroughs to show why code runs in surprising orders and why setTimeout fixes are unreliable.

A documentary on the last day the New York Times was printed with linotype machines in 1978, following the process from the newsroom to the press. It marks the move to computerized typesetting.

Neuroscientist Anil Seth gives a Royal Institution lecture on the science of consciousness. He separates conscious level, content and self, and argues that experience arises from the brain's predictive inference.

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.