Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Review of Tait 'Provenance of Pure Reason'' and 'Aristotle on Matter'

expand these ideas     |    start again     |     specify just one area for these texts


10 ideas

2. Reason / D. Definition / 4. Real Definition
Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K]
2. Reason / D. Definition / 5. Genus and Differentia
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 / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K]
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
The components of abstract definitions could play the same role as matter for physical objects [Fine,K]