Combining Texts

All the ideas for 'Necessary Existents', 'Reply to Second Objections' and 'Structuralism Reconsidered'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
The Cogito is not a syllogism but a self-evident intuition [Descartes]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]