paradox

Numberphile interviews Grant Sanderson of 3blue1brown about Bertrand's paradox, where different reasonable ways of picking a random chord of a circle give different probabilities.

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.

Isaac Arthur surveys the popular proposed solutions to the Fermi Paradox in a 71-minute compendium. He weighs the strengths and weaknesses of each argument.

Kurzgesagt introduces the Fermi paradox: with so many stars and planets, why do we see no sign of aliens? It sets up the question and what it might imply for our own future. It is part 1 of 2.

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.

Isaac Arthur examines the Dyson Dilemma, the puzzle of why we see no Dyson spheres or megastructures if growth-oriented civilizations should build them. He covers detectability and whether such structures could hide.

Stuart Armstrong of the Future of Humanity Institute gives an Oxford physics talk on what exploratory engineering suggests about the Fermi paradox. He argues that von Neumann probes and Dyson spheres are plausibly buildable and asks what traces advanced civilizations would leave.

A minutephysics explainer on the twins paradox in special relativity. It shows why the traveling twin ends up younger and how acceleration resolves the paradox.

Not Just Bikes explains the Downs-Thomson paradox using Amsterdam and Toronto: road widening doesn't fix congestion, and buses stuck in traffic make transit slow. It argues for giving transit its own priority infrastructure.

First episode of the Norwegian documentary series Hjernevask, in which Harald Eia interviews researchers on the nature versus nurture debate. It focuses on the gender equality paradox and gender differences in career choice.

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.

3Blue1Brown explains why positive results on accurate medical tests are often false positives, and reframes Bayes' rule using likelihood ratios (Bayes factors) to update odds. It uses visual examples to make the reasoning intuitive.

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.

Psychologist Barry Schwartz argues in this TED talk that abundant choice makes people more paralyzed and dissatisfied rather than freer and happier.

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.

Kurzgesagt animated explainer on the Dark Forest answer to the Fermi Paradox. It argues that if advanced civilizations exist, staying silent may be the safest strategy because revealing yourself invites a first strike.

Folk musician Peter Mulvey performs Vlad the Astrophysicist, a spoken-word style song that touches on why civilizations may never meet across space and time.

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

A Royal Institution event with Sean Carroll and Jennifer Ouellette on what happens if you fall into a black hole, covering the firewall paradox, the information problem and the holographic principle.

A short Kurzgesagt animation explaining the Great Filter, the idea that finding alien life might be bad news because it implies something usually destroys civilizations. It connects the concept to the Fermi paradox.

A PBS Space Time episode asking whether the universe's information can ever truly be lost, tying quantum mechanics, determinism and black holes together. It sets up the black hole information paradox.

Rational Animations explains Robin Hanson's grabby aliens model, which argues that humanity looks suspiciously early in cosmic history. Expanding civilizations set a deadline that explains our timing and bears on the Fermi paradox.

An IEEE Spectrum compilation of humanoid robots falling over during the 2015 DARPA Robotics Challenge Finals.

A Vanity Fair Summit conversation between Elon Musk and Sam Altman, moderated by Andrew Ross Sorkin. They discuss the future of technology, including AI and the simulation hypothesis.

A short sketch from That Mitchell and Webb Sound, the BBC radio comedy, about a safety measure that works perfectly and so gets no credit for the lack of disasters.

CGP Grey explains first-past-the-post voting and why it pushes elections toward two dominant parties. It is the first in his series on electoral systems.

Veritasium examines the role of luck in success, with simulations and examples showing how small advantages and chance can compound. It argues that top outcomes are disproportionately luck-driven while still crediting effort.

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 short CGP Grey explainer on the alternative vote (instant runoff voting) versus first past the post, made around the 2011 UK referendum. It shows how ranked ballots are tallied and why they avoid spoiler effects.

A Golden Balls episode in which one contestant announces he will steal, leading to an unexpected outcome in the split-or-steal prisoner's dilemma.

Matt Parker analyzes the Minecraft speedrunning controversy in which Dream was accused of cheating via improbably lucky drops. He walks through the probability and the statistical arguments in the original accusation and the reply.

An animated simulation comparing single-winner voting methods such as plurality, instant runoff and STAR. Colored regions show which candidate wins as a randomized electorate shifts across a two-dimensional political space, building on Ka-Ping Yee's earlier diagrams.

Robert Miles examines whether the case for AI safety is a Pascal's mugging, a tiny probability of an enormous payoff. He argues it is not, because AI risk does not depend on vanishingly small probabilities.

The Center for Election Science explains favorite betrayal in instant-runoff voting: in some elections, ranking your favorite first can cause your least favorite to win. It contrasts this with plurality voting's spoiler problem.

Numberphile with Simon Pampena on how humans misunderstand randomness, including coin-flip sequences, run lengths and the gambler's fallacy.

Stanford biologist Robert Sapolsky lectures on the evolution of behavior, including the Prisoner's Dilemma and tit-for-tat strategies in animals. It is part of his Human Behavioral Biology course.

A short animated TED-Ed lesson in which two competing ice cream vendors on a beach illustrate why rival shops cluster together. It introduces game theory and the Nash equilibrium through the Hotelling model.

John Rauser's Strata 2014 keynote argues that programmers can learn statistics quickly by simulating random processes and shuffling data. He explains p-values through resampling rather than formulas.

Derren Brown's TV special in which he convinces a person he has a system for predicting horse race winners, demonstrating how survivorship bias and selective outcomes can fake predictive powers.

Julia Galef uses pictures to explain Bayes' rule, then tells three personal stories showing how she applies it to improve her thinking.