Combining Texts

All the ideas for 'The Philosophical Culture', 'Constructibility and Mathematical Existence' and 'Commentary on 'Posterior Analytics''

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6 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
1489 Modern philosophy tends to be a theory-constructing extension of science, but there is also problem-solving [Nagel]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
8758 We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265 Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
8759 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
10264 Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
16629 By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]