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…
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The Central Limit Theorem
The central limit theorem is one of the most important results in all of statistics. It explains why the familiar bell shaped curve appears again and…
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…
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…
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…
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…