Combining Texts

All the ideas for 'The Philosophy of Logic', 'Letters to Thomas Burnett' and 'De modo distinguendi phaenomena'

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8 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]
7. Existence / D. Theories of Reality / 2. Realism
If experience is just a dream, it is still real enough if critical reason is never deceived [Leibniz]
The strongest criterion that phenomena show reality is success in prediction [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The notion of substance is one of the keys to true philosophy [Leibniz]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
Light, heat and colour are apparent qualities, and so are motion, figure and extension [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Gravity is within matter because of its structure, and it can be explained. [Leibniz]