Combining Texts

All the ideas for 'Primary Truths', 'Logicism, Some Considerations (PhD)' and 'Letters to Bouvet'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13412

Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]

13413

We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

13411

If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

13415

An adequate account of a number must relate it to its series [Benacerraf]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

9155	An a priori proof is independent of experience [Leibniz]

23. Ethics / D. Deontological Ethics / 1. Deontology

19407

We want good education and sociability, rather than lots of moral precepts [Leibniz]