Combining Texts

All the ideas for 'fragments/reports', 'Essays on Intellectual Powers 1: Preliminary' and 'The Philosophy of Logic'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Many truths seem obvious, and point to universal agreement - which is what we find [Reid]
18. Thought / C. Content / 2. Ideas
Only philosophers treat ideas as objects [Reid]
19. Language / A. Nature of Meaning / 9. Ambiguity
The ambiguity of words impedes the advancement of knowledge [Reid]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
26. Natural Theory / C. Causation / 1. Causation
Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]