Combining Texts

All the ideas for 'What Price Bivalence?', 'Grundlagen (Foundations of Theory of Manifolds)' and 'The Reality of Numbers'

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


5 ideas

3. Truth / B. Truthmakers / 1. For Truthmakers
Truth and falsehood must track what does or doesn't exist [Bigelow]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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
Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine]