Combining Philosophers

Ideas for Anaxarchus, Peter Smith and Hilbert,D/Ackermann,W

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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

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.