Combining Texts

All the ideas for 'fragments/reports', 'Abstraction Reconsidered' and 'Intro to 2nd ed of Principia Mathematica'

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7 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

10735

Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

21681

Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

10732

If concepts are just recognitional, then general judgements would be impossible [Geach]

18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities

10731

For abstractionists, concepts are capacities to recognise recurrent features of the world [Geach]

18. Thought / E. Abstraction / 8. Abstractionism Critique

10733

The abstractionist cannot explain 'some' and 'not' [Geach]

10734

Only a judgement can distinguish 'striking' from 'being struck' [Geach]

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

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