Combining Texts

All the ideas for 'On Being (frags)', 'The Philosophy of Logic' and 'Against the Mathematicians'

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

---

5 ideas

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]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs

20795

Some things are their own criterion, such as straightness, a set of scales, or light [Sext.Empiricus]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

20794

How can sceptics show there is no criterion? Weak without, contradiction with [Sext.Empiricus]