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