Mathematics &Philosophy Entropy | 25 Aug 2006
Gödel’s Incompleteness Theorem
All consistent axiomatic formulations of number theory include undecidable propositions … Gödel showed that provability is a weaker notion than truth, no matter what axiom system is involved .. In 1931, the Czech-born mathematician Kurt Gödel demonstrated that within any given branch of mathematics, there would always be some propositions that couldn’t be proven either [...]