Combining Texts

All the ideas for 'City of God', 'Warrant and Proper Function' and 'Logicism, Some Considerations (PhD)'

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7 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]

11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito

3912	I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]

13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge

6356	Maybe a reliable justification must come from a process working with its 'proper function' [Plantinga, by Pollock/Cruz]

17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism

6683	The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]