Combining Texts

All the ideas for 'Hilbert's Programme', 'Human Society in Ethics and Politics' and 'Vagueness'

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7 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
21597 Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson]
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]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
9051 Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith]
9054 Vagueness is only a characteristic of representations, such as language [Russell]
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]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
2609 If God's decrees are good, and this is not a mere tautology, then goodness is separate from God's decrees [Russell]