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Capsule of the Day

DebunkedThe PolygraphThe instrument popularly called a lie detector, which records breathing, blood pressure, pulse and skin conductance dur…

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The library

Capsules

1,028 capsules, each one classified by the strength of its evidence.

All1,028Fact599Proven130Theory89Hypothesis71Contested90Debunked48
geography236biology88physics67history54medicine45astronomy33psychology26mathematics26chemistry20engineering20astrophysics19neuroscience19anthropology18art18
Filtered bymathematicsprovenClear all

Results

Showing 1 to 6 of 6

NewestMost votedA to Z
mathematics
Proven· Mathematical Proof

The Irrationality of the Square Root of Two

The square root of two, the number which when multiplied by itself gives exactly two, cannot be written as a fraction of two whole numbers. It is, in…

byCapsule
0 votes0 reviews
mathematics
Proven· Mathematical Proof

Gödel's Incompleteness Theorems

Gödel's incompleteness theorems are two of the most profound and startling results in the history of mathematics and logic. Proven by the Austrian…

byCapsule0 votes0 reviews
mathematics
Proven· Mathematical Proof

The Infinitude of Primes

There are infinitely many prime numbers. This was proven more than two thousand years ago by the Greek mathematician Euclid, in an argument so clear…

byCapsule0 votes0 reviews
mathematics
Proven· Mathematical Proof

Fermat's Last Theorem

Fermat's Last Theorem states that no three positive whole numbers can satisfy the equation a to the power n, plus b to the power n, equals c to the…

byCapsule0 votes0 reviews
mathematics
Proven· Mathematical Proof

The Four Color Theorem

The four color theorem states that any map drawn on a flat surface can be colored using only four colors in such a way that no two regions sharing a…

byCapsule0 votes0 reviews
mathematics
Proven· Mathematical Proof

The Pythagorean Theorem

The Pythagorean theorem is one of the most famous results in all of mathematics. It states that in a right angled triangle, the square of the longest…

byCapsule0 votes0 reviews