Combining Texts

Ideas for 'Precis of 'Limits of Abstraction'', 'Constructibility and Mathematical Existence' and 'Sententia on 'Posterior Analytics''

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

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]