Combining Texts

All the ideas for 'The Philosophy of Logic', 'No Understanding without Explanation' and 'Conspectus libelli (book outline)'

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10 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]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
12699 A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
12700 Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
12736 If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber]
11. Knowledge Aims / A. Knowledge / 2. Understanding
14369 Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]
14365 Scientific understanding is always the grasping of a correct explanation [Strevens]
14368 We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
12698 Every body contains a kind of sense and appetite, or a soul [Leibniz]