Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'Aristotle on Matter' and 'Mathematics: Form and Function'

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8 ideas

2. Reason / D. Definition / 4. Real Definition
12302 Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K]
2. Reason / D. Definition / 5. Genus and Differentia
14266 Aristotle sees hierarchies in definitions using genus and differentia (as we see them in sets) [Fine,K]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
18189 ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
14268 Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K]
8. Modes of Existence / D. Universals / 1. Universals
15034 Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
14267 There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K]
14264 Is there a plausible Aristotelian notion of constitution, applicable to both physical and non-physical? [Fine,K]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
14265 The components of abstract definitions could play the same role as matter for physical objects [Fine,K]