Combining Texts

All the ideas for 'reports', 'Method and Results' and 'Constructibility and Mathematical Existence'

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7 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]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
T.H.Huxley gave the earliest clear statement of epiphenomenalism [Huxley, by Rey]
Brain causes mind, but it doesn't seem that mind causes actions [Huxley]