Combining Philosophers
Ideas for Phil Dowe, Keith Hossack and Anon (Dham)
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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The theory of the transfinite needs the ordinal numbers [Hossack]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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I take the real numbers to be just lengths [Hossack]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
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Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
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