Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Hilbert's Programme' and 'Whitehead and the Rise of Modern Logic'

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6 ideas

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 / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17809

Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

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]

19. Language / A. Nature of Meaning / 1. Meaning

19087

The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]

27. Natural Reality / C. Space / 3. Points in Space

17811

The natural conception of points ducks the problem of naming or constructing each point [Kreisel]