display all the ideas for this combination of texts
1 idea
10073 | There cannot be a set theory which is complete [Smith,P] |
Full Idea: By Gödel's First Incompleteness Theorem, there cannot be a negation-complete set theory. | |
From: Peter Smith (Intro to Gödel's Theorems [2007], 01.3) | |
A reaction: This means that we can never prove all the truths of a system of set theory. |