Combining Texts

All the ideas for 'Darwin's Dangerous Idea', 'Paradoxes of the Infinite' and 'Vagueness'

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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
A truly infinite quantity does not need to be a variable [Bolzano]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith]
Vagueness is only a characteristic of representations, such as language [Russell]
27. Natural Reality / G. Biology / 3. Evolution
Darwin's idea was the best idea ever [Dennett]