Combining Texts

All the ideas for 'fragments/reports', 'Whitehead and the Rise of Modern Logic' and 'Constructibility and Mathematical Existence'

expand these ideas     |    start again     |     specify just one area for these texts

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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]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

13639

Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

21557

Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]

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]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]