Combining Texts

All the ideas for 'fragments/reports', 'Aristotle on Substance' and 'Constructibility and Mathematical Existence'

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8 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
9. Objects / C. Structure of Objects / 3. Matter of an Object
Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]