Single Idea 12327

[catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis]

Full Idea

As we have known since Paul Cohen's theorem, the Continuum Hypothesis is intrinsically undecidable. Many believe Cohen's discovery has driven the set-theoretic project into ruin, or 'pluralized' what was once presented as a unified construct.

Gist of Idea

The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory

Source

Alain Badiou (Briefings on Existence [1998], 6)

Book Reference

Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.99


A Reaction

Badiou thinks the theorem completes set theory, by (roughly) finalising its map.