diversity theorem

PBS Space Time explains Noether's theorem: conservation laws such as energy and momentum are consequences of deeper symmetries. It also covers why those laws hold only under certain conditions.

MinutePhysics, with 3Blue1Brown, explains Bell's theorem using a Venn diagram paradox and polarizing filters. It shows why no local hidden variable theory can reproduce quantum correlations.

Jordan Peterson's roughly 50-minute interview with James Damore, the fired Google engineer, going through his diversity memo nearly line by line. The description links the scientific literature behind the claims.

3Blue1Brown presents Bayes' theorem through a geometric diagram, showing how evidence should update beliefs. It works through the Kahneman and Tversky style questions and base rates.

A ten-minute explainer from Hypermind on the wisdom of crowds, covering Galton's discovery and the diversity theorem. It argues that collective intelligence comes from diversity, independence and aggregation.

Chris Stucchio presents the ethical principles behind algorithmic decision making and shows with examples from lending, criminology and education that they cannot all be satisfied at once. The talk frames AI fairness as a set of quantitative tradeoffs.

A short clip of Neil deGrasse Tyson answering a question about why there are not more women in science. He describes the resistance he faced as a Black kid pursuing science and the systemic barriers many people encounter.

A three-minute scene from season 2, episode 4 of Silicon Valley in which Jared is excited after the company hires a woman engineer. It satirizes tokenism in tech hiring.

The first lecture of N J Wildberger's History of Mathematics course, starting with Pythagoras' theorem and following Stillwell's text. It emphasizes the flow of ideas over proofs.

Jonathan Haidt's Hayek Lecture at Duke argues American universities pursue two potentially incompatible sacred values, truth and social justice. He discusses campus conflict, honor, dignity and victimhood cultures, and viewpoint diversity.

3Blue1Brown explains why plotting primes in polar coordinates produces spiral patterns, using modular arithmetic, Dirichlet's theorem and rational approximations of pi.

Sabine Hossenfelder explains superdeterminism as an interpretation of quantum mechanics, addressing common objections and misconceptions, including the worry that it kills free will or science. She ties it to Bell's theorem and hidden variables.

Veritasium explains quantum entanglement and spooky action at a distance, walking through Bell's inequality and the experiments that rule out hidden variables, in under ten minutes.

Mathematician Kevin Buzzard explains why he believes the Lean theorem prover will shape the future of mathematics, and describes digitizing his university curriculum in Lean with undergraduates, plus the cultural challenges.

Veritasium explores why energy is not conserved in general relativity, using Emmy Noether's theorem linking symmetries to conservation laws. Physicists interviewed explain energy loss in an expanding universe.

Veritasium explains Bayes' theorem with examples and introduces the 'Bayesian trap', where repeated events get mistaken for inevitable ones. It discusses how priors shape our expectations and behavior.

A six-minute explainer from Undefined Behavior on range (score) voting. It follows an earlier video on Arrow's Theorem and shows how range voting seems to satisfy the criteria Arrow's Theorem says no ranked system can.

Veritasium explains the Dzhanibekov effect, also called the tennis racket theorem, where a spinning object flips unexpectedly about its intermediate axis. The video gives an intuitive account of the underlying rotational dynamics, drawing on Terry Tao's explanation and the original papers.

Neel Kolhatkar's satirical short film parodies modern education and political correctness. It shows how obsession with inclusive speech makes plain communication difficult.

Veritasium explains why no voting system can be perfectly fair, drawing on Arrow's theorem and the work of Eric Maskin. It looks at problems with systems like first-past-the-post and ranked-choice voting.

An episode of the Norwegian documentary series Brainwash, in which a comedian interviews academics from different sides about gender differences and gender equality. It looks at why more equal societies can still show unequal career choices.

PBS Space Time episode on the black hole information paradox, covering how black holes seem to destroy information, the no-hair conjecture and the proposed role of the event horizon. It is part of a series on black holes.

A Google Ventures talk on how unconscious biases shape product decisions, hiring and workplace interactions. It draws on research, including work by Google scientists, on how to counter them.

3Blue1Brown, in collaboration with minutephysics, introduces the math of superposition and quantum states using polarized light. It builds up the quantum behavior of photons as a simple counting and probability problem.

Casey Muratori's long talk arguing that modern software has ballooned to tens of millions of lines because of hardware and OS diversity. He proposes a stable ISA for entire system-on-a-chip packages and recalls when games shipped with their own boot disk.

The first video of 3Blue1Brown's Essence of Calculus series, which builds toward integrals, derivatives, and the fundamental theorem of calculus from a simple geometry question. It aims to make viewers feel they could have invented calculus themselves.

Philip Wadler's Strange Loop talk on Propositions as Types, the link between logic and computation (the Curry-Howard correspondence). He traces its history through Church, Godel and Turing and shows how it shaped theorem provers and programming languages.

Veritasium's explainer on Godel's incompleteness theorems and the limits of mathematical proof, tracing set theory, Hilbert's program and the road to Turing and modern computing.

Vladimir Voevodsky's IAS lecture starts from Godel's second incompleteness theorem to explore whether first-order arithmetic could be inconsistent. It motivates his vision of univalent foundations and computer-checked proofs.

Philip Wadler's Lambda Days talk on propositions as types, the link between logic and computation that underlies theorem provers and programming language design.

Aamer Rahman of Fear of a Brown Planet delivers a stand-up routine on so-called reverse racism, arguing about power imbalance and why criticism of a dominant group is not equivalent to racism.

Martin Kleppmann's Strange Loop talk on database transactions, covering why they were dropped by NoSQL, their reputation for being slow, and newer algorithms that make serializable transactions perform and scale. It touches on consistency, linearizability and the CAP theorem.

A VPRO documentary following ecologist and cameraman John D. Liu. He documents the regreening of China's Loess Plateau and other efforts to restore deserts and biodiversity around the world.

An Adam Ruins Everything segment arguing that purebred dogs suffer from inbreeding and genetic disorders, and that mutts are healthier. It follows the show's comedic debunking style.

A Danish university math revue music video that parodies Barbra Streisand to explain the Banach-Tarski paradox, with oranges multiplying on stage.

A short documentary on the 2015 Yale Halloween costume controversy and the confrontation with Nicholas Christakis. Filmmaker Rob Montz investigates campus free speech and the state of the university afterward.