Combining Texts

All the ideas for 'A Problem about Substitutional Quantification?st1=Saul A. Kripke', 'Constructibility and Mathematical Existence' and 'From Stimulus to Science'

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6 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

6564	To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]

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 / G. Quantification / 4. Substitutional Quantification

10792

The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]

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]