Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Logic (Port-Royal Art of Thinking)' and 'Aristotle on Matter'

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13 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 / p. Axiom of Reducibility
18170 The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
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]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10502 We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
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]
12. Knowledge Sources / B. Perception / 3. Representation
18258 We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
16784 Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
10499 We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
10500 No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
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]