Combining Texts

All the ideas for 'On Plural Reference and Set Theory', 'Il Saggiatore ('The Assayer')' and 'The Philosophy of Logic'

expand these ideas     |    start again     |     specify just one area for these texts

---

8 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms

10670

A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities

7401	Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck]

5454	Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo]

14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism

16560

Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver]

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature

3645	To understand the universe mathematics is essential [Galileo]