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]
|