Ideas from 'Constructibility and Mathematical Existence' by Charles Chihara [1990], by Theme Structure

green numbers give full details    |     back to texts     |     expand these ideas

---

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

8758	We could talk of open sentences, instead of sets [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 [Shapiro]

8759	We can replace type theory with open sentences and a constructibility quantifier [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' [Shapiro]