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Single Idea 17615

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

Full Idea

One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals.

Gist of Idea

Every infinite set of reals is either countable or of the same size as the full set of reals

Source

Penelope Maddy (Defending the Axioms [2011], 2.4 n40)

Book Ref

Maddy,Penelope: 'Defending the Axioms' [OUP 2013], p.56