Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'New system of communication of substances' and 'works'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
8717 Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10113 The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
10115 Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
10116 Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
13169 I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
13168 My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz]
9. Objects / A. Existence of Objects / 5. Simples
13170 The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
13171 Substance must necessarily involve progress and change [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
19399 Prime matter is nothing when it is at rest [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
13167 We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]