Combining Texts

All the ideas for 'poems', 'Expositio super viii libros' and 'Logicism, Some Considerations (PhD)'

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8 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 / A. Knowledge / 1. Knowledge

9089	Knowledge is a quality existing subjectively in the soul [William of Ockham]

9091	Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9090	Knowledge is certain cognition of something that is true [William of Ockham]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]