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Single Idea 10575

[catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts]

Full Idea

By what right can Dedekind suppose that there is a number corresponding to any pair of irrationals that constitute an irrational cut?

Gist of Idea

Why should a Dedekind cut correspond to a number?

Source

Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)

Book Reference

-: 'Philosophical Studies' [-], p.390


Related Idea

Idea 18093 For Eudoxus cuts in rationals are unique, but not every cut makes a real number [Bostock]