Single Idea 10046

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

Full Idea

The generalized Continuum Hypothesis says that there exists no cardinal number between the power of any arbitrary set and the power of the set of its subsets.

Gist of Idea

The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers

Source

Kurt Gödel (Russell's Mathematical Logic [1944], p.464)

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.464