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Ideas for 'poems', 'Reference and Generality (3rd ed)' and 'Knowledge and the Philosophy of Number'

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2 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

12154

Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]

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]