Gödel's incompleteness theorems

from blog Things Of Interest, | ↗ original
Blog » For every mathematical statement S, exactly one of the following two claims is true: 1. S can be proven 2. S cannot be proven Every statement S has a negation which is also a statement: ~S So, furthermore, for every statement S exactly one of the following two claims is also true: A. ~S can be proven B. ~S cannot be proven (To put it...