Combining Texts

All the ideas for 'Mathematics without Numbers', 'Ideas, Qualities and Corpuscles' and 'Proslogion'

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18 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
If the substantial form of brass implies its stability, how can it melt and remain brass? [Alexander,P]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
The peripatetics treated forms and real qualities as independent of matter, and non-material [Alexander,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Can the qualities of a body be split into two groups, where the smaller explains the larger? [Alexander,P]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Science has been partly motivated by the belief that the universe is run by God's laws [Alexander,P]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Alchemists tried to separate out essences, which influenced later chemistry [Alexander,P]
27. Natural Reality / C. Space / 4. Substantival Space
Absolute space either provides locations, or exists but lacks 'marks' for locations [Alexander,P]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
An existing thing is even greater if its non-existence is inconceivable [Anselm]
Conceiving a greater being than God leads to absurdity [Anselm]
Even the fool can hold 'a being than which none greater exists' in his understanding [Anselm]
If that than which a greater cannot be thought actually exists, that is greater than the mere idea [Anselm]
A perfection must be independent and unlimited, and the necessary existence of Anselm's second proof gives this [Malcolm on Anselm]
The word 'God' can be denied, but understanding shows God must exist [Anselm]
Guanilo says a supremely fertile island must exist, just because we can conceive it [Anselm]
Nonexistence is impossible for the greatest thinkable thing, which has no beginning or end [Anselm]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
Anselm's first proof fails because existence isn't a real predicate, so it can't be a perfection [Malcolm on Anselm]