Combining Philosophers

Ideas for Herodotus, Michael D. Resnik and Keith Hossack

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4 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

6304	Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

10680

The theory of the transfinite needs the ordinal numbers [Hossack]

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

10684

I take the real numbers to be just lengths [Hossack]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity

23626

Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]