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Ideas for 'fragments/reports', 'Reals by Abstraction' and 'Model Theory'

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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 / i. Cardinal infinity

10480

First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]