Combining Texts

All the ideas for 'City of God', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Vagueness'

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

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 / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

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]

11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito

3912	I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]

17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism

6683	The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]