Combining Texts

All the ideas for 'An Axiomatization of Set Theory', 'Seven Quodlibets' and 'On Relations of Universals and Particulars'

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10 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations are expressed either as absolute facts, or by a relational concept [William of Ockham]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Cut wood doesn't make a new substance, but seems to make separate subjects [William of Ockham]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Hot water naturally cools down, which is due to the substantial form of the water [William of Ockham]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
If an animal approached from a distance, we might abstract 'animal' from one instance [William of Ockham]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
There are no secure foundations to prove the separate existence of mind, in reason or experience [William of Ockham]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
To love God means to love whatever God wills to be loved [William of Ockham]