Cantor's Diagonal Argument
A proof that some infinities are larger than others. It is a few lines long, it requires nothing beyond counting, it was violently rejected when…
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A proof that some infinities are larger than others. It is a few lines long, it requires nothing beyond counting, it was violently rejected when…
The problem of induction is the observation that no amount of evidence logically guarantees a general conclusion. That the sun has risen every day so…
The halting problem asks whether it is possible to write a program that can examine any other program, together with its input, and reliably decide…
Gödel's incompleteness theorems are two of the most profound and startling results in the history of mathematics and logic. Proven by the Austrian…