Combining Texts

All the ideas for 'fragments/reports', 'Logicism, Some Considerations (PhD)' and 'The Basing Relation'

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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 / A. Knowledge / 4. Belief / a. Beliefs

19696

There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]

19697

The basing relation of a reason to a belief should both support and explain the belief [Neta]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]