Combining Texts

All the ideas for '67: Platonic Questions', 'Constructibility and Mathematical Existence' and 'Quantification and Descriptions'

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7 ideas

2. Reason / D. Definition / 7. Contextual Definition
18776 Contextual definitions eliminate descriptions from contexts [Linsky,B]
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]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
18774 Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
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]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
5960 When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]