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Ideas for 'Defending the Axioms', 'Identity over Time' and 'Reals by Abstraction'

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2 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10632

The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

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