Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Constructibility and Mathematical Existence' and 'Artistic Value and Opportunistic Moralism'

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10 ideas

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 / A. Overview of Logic / 3. Value of Logic
9390 Logic guides thinking, but it isn't a substitute for it [Rumfitt]
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 / 3. Unity Problems / e. Vague objects
9389 Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22692 A work can be morally and artistically excellent, despite rejecting moral truth [John,E]
22693 The works we value most are in sympathy with our own moral views [John,E]
22694 We should understand what is morally important in a story, without having to endorse it [John,E]
22695 We value morality in art because that is what we care about - but it is a contingent fact [John,E]