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All the ideas for 'Aristotle on Matter', 'Virtue Epistemology' and 'Philosophy of Mathematics'

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17 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 / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
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]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
19730 Epistemic virtues: love of knowledge, courage, caution, autonomy, practical wisdom... [Kvanvig]
19731 If epistemic virtues are faculties or powers, that doesn't explain propositional knowledge [Kvanvig]
19732 The value of good means of attaining truth are swamped by the value of the truth itself [Kvanvig]
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]