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Index/People/Kurt Gödel

Kurt Gödel

Austrian-American logician, mathematician, and philosopher of mathematics (1906-1978)

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Jan 12, 2026
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What is the proof of Gödel's Incompleteness Theorem and what does it imply to epistemology in general?

Gödel’s First Incompleteness Theorem constructs, inside any sufficiently expressive, effectively axiomatized formal system F that encodes a bit of arithmetic, a sentence G that essentially says “G is ...

Feb 2, 2026

has the choice axiom in the zfc been decided

The axiom of choice () is independent of the other Zermelo–Fraenkel axioms (): Gödel and Cohen proved that, assuming ZF is consistent, both ZF+AC and ZF+¬AC are consistent, so AC cannot be proved or r...