Combining Texts

All the ideas for 'fragments/reports', 'Logicism, Some Considerations (PhD)' and 'On 'Physics''

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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
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
An adequate account of a number must relate it to its series [Benacerraf]
7. Existence / A. Nature of Existence / 2. Types of Existence
Everything that exists is either a substance or an accident [Albert of Saxony]
9. Objects / E. Objects over Time / 6. Successive Things
God could make a successive thing so that previous parts cease to exist [Albert of Saxony]
Successive entities just need parts to succeed one another, without their existence [Albert of Saxony]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]