Combining Texts

All the ideas for 'Necessary Existents', 'Mathematics without Numbers' and 'On the Reduction of Necessity to Essence'

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6 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The nature of each logical concept is given by a collection of inference rules [Correia]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
10. Modality / A. Necessity / 6. Logical Necessity
Explain logical necessity by logical consequence, or the other way around? [Correia]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]