Combining Texts

All the ideas for 'Reply to Hellman', 'Notes on Comments by Fardella' and 'Constructibility and Mathematical Existence'

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7 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 / 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]

9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual

13160

To exist and be understood, a multitude must first be reduced to a unity [Leibniz]

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

13161

Substances are everywhere in matter, like points in a line [Leibniz]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

9379	A sentence is obvious if it is true, and any speaker of the language will instantly agree to it [Quine]