Combining Texts

All the ideas for 'Syntagma', 'On the Nature of Mathematical Reasoning' and 'Identity over Time'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
15923 Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16730 If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi]
9. Objects / E. Objects over Time / 1. Objects over Time
16025 If things change they become different - but then no one thing undergoes the change! [Gallois]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
16026 4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois]
9. Objects / F. Identity among Objects / 6. Identity between Objects
16027 If two things are equal, each side involves a necessity, so the equality is necessary [Gallois]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
16619 We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
16593 Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi]
16729 How do mere atoms produce qualities like colour, flavour and odour? [Gassendi]