Combining Texts

All the ideas for 'works', 'The Philosophy of Logic' and 'Expositio super viii libros'

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7 ideas

5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

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]

11. Knowledge Aims / A. Knowledge / 1. Knowledge

9089	Knowledge is a quality existing subjectively in the soul [William of Ockham]

9091	Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9090	Knowledge is certain cognition of something that is true [William of Ockham]