Combining Texts

All the ideas for 'Reply to Foucher', 'Constructibility and Mathematical Existence' and 'On the Pragmatics of Communications'

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6 ideas

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]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

19406

I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]

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]

19. Language / A. Nature of Meaning / 6. Meaning as Use

15666

To understand language is to know how to use it to reach shared understandings [Habermas]