Combining Texts

All the ideas for 'A Puzzle about Belief', 'Universals and Particulars' and 'Constructibility and Mathematical Existence'

expand these ideas     |    start again     |     specify just one area for these texts


6 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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Puzzled Pierre has two mental files about the same object [Recanati on Kripke]