Combining Texts

Ideas for 'Abstract Objects: a Case Study', 'Extrinsic Properties' and 'The Philosophy of Mathematics'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

9191	Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

9192	The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

10580

Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

10579

Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]