Learn by Doing
Interactive Explainers
3Blue1Brown-style interactive explanations of paradoxes, theorems, and counterintuitive results that will change how you think.
30
Interactive Explainers
10
Domains
Stein's Paradox
"How Wheat Prices Help Predict Baseball Averages"
Will Rogers Phenomenon
"Stage 3 AND Stage 4 cancer survival improved. Zero patients were helped."
Berkson's Paradox
"Why do all the attractive people you date turn out to be assholes?"
Low Birth Weight Paradox
"Should pregnant women smoke? The data says yes (it doesn't)."
Schelling's Segregation Model
"30% diversity preference leads to 95% segregation."
The Ralph Loop
"What if the secret to AGI is the world's dumbest loop? while(true) shipped a $50K contract for $297."
Ross-Littlewood Paradox
"Add 9 balls per step, infinite steps. Final count: zero."
Banach-Tarski Paradox
"Cut a ball into 5 pieces. Reassemble into TWO identical balls."
Newcomb's Paradox
"A perfect predictor offers you two boxes..."
Arrow's Impossibility Theorem
"Fair voting is mathematically impossible."
The Cobra Effect
"Bounty for dead cobras increased cobra population."
Grossman-Stiglitz Paradox
"Efficient markets can't exist. Here's the proof."
Moravec's Paradox
"The hardest things for AI are easy for toddlers. The easiest things for AI are hard for PhDs."
Parfit's Hitchhiker
"You're dying in the desert. A driver says 'I'll save you if I predict you'll pay.' You can't lie."
Grue Paradox
"All observed emeralds are green. But they're also all 'grue'. Same evidence, opposite predictions."
St. Petersburg Paradox
"A game has infinite expected value. You should pay any price to play. But everyone goes bankrupt."
The Pasadena Game
"A game where expected value does not exist. Not infinite. Not zero. Literally undefined."
The Doomsday Argument
"You are the 100 billionth human ever born. This is evidence that humanity will go extinct soon."
Thomson's Lamp
"Flip ON at 1 min, OFF at 1.5, ON at 1.75... At 2 min: ON or OFF?"
The Simulation Argument
"At least one of these is almost certainly true: extinction, disinterest, or you are simulated."
The Sleeping Beauty Problem
"A coin is flipped Sunday. If heads, you wake once. If tails, you wake twice. What's P(heads)?"
Absent-Minded Driver
"You're driving with two exits. You want the second one. But at each exit, you won't remember if you've passed one already."
Quantum Immortality
"If many-worlds is true, you cannot experience your own death. You are immortal - but it is horrifying."
Ship of Theseus
"Replace every plank. Is it the same ship? Now assemble the old planks. WHICH ONE is the original?"
Counterfactual Mugging
"A perfect predictor says: 'I flipped heads. But if tails, I'd have given you $10,000 if I predicted you'd pay me $100 now.'"
The Boltzmann Brain Problem
"In an eternal universe, you are almost certainly a fleeting brain hallucinating a past that never happened."
Roko's Basilisk
"A future AI punishes you for not helping create it - by simulating and torturing copies of you."
Mind Crime
"A superintelligent AI might create, torture, and delete trillions of conscious minds per second."
Kolmogorov Complexity
"The shortest program that outputs a string IS its true information content. And you can never compute it."
Ontological Crises
"An AI programmed to maximize 'human smiles' discovers humans are 37 trillion cells. Which ones should smile?"
More explainers coming soon. Each one is crafted with care.
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