Combining Texts

All the ideas for 'poems', 'Aesthetica' 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]

21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics

8063	Baumgarten founded aesthetics in 1750 [Baumgarten, by Tolstoy]

21. Aesthetics / B. Nature of Art / 2. Art as Form

8118	Beauty is an order between parts, and in relation to the whole [Baumgarten, by Tolstoy]

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

6017	Nomos is king [Pindar]

22. Metaethics / C. The Good / 1. Goodness / b. Types of good

8117	Perfection comes through the senses (Beauty), through reason (Truth), and through moral will (Good) [Baumgarten, by Tolstoy]