sciencebriefs
Topic

Probability

Reasoning about what has not happened yet, badly by default.

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10:37

Bayes' theorem

Thomas Bayes · 1763

Bayes's 1763 essay solves a narrow inverse probability problem using conditional probability. It computes limits on a binomial parameter—not a general theory of belief updating. Its power lies in precision, not generality.

13:00

Cognitive bias

Amos Tversky and Daniel Kahneman's 1970s experiments found people rate a detailed, statistically impossible scenario as more probable than a plain one — evidence that judgment runs on shortcuts, not pure logic, a claim that reshaped economics and drew its own rationality war.
13:00

Design of experiments

A well-designed experiment and an underpowered one can ask the identical question and still deserve opposite trust. The gap between them is arithmetic, and across whole fields the arithmetic has not been going well.
9:44

Georg Cantor

Cantor didn’t discover infinity — he broke it into pieces you can count, compare, and order.
10:19

Ludwig Boltzmann

Entropy isn’t fate — it’s odds. Boltzmann proved the second law is a bet, not a command.