Combining Texts

Ideas for 'Abstract Objects: a Case Study', 'Speaking of Objects' and 'Prolegomena to Any Future Metaphysic'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

16910

Mathematics can only start from an a priori intuition which is not empirical but pure [Kant]

16917

All necessary mathematical judgements are based on intuitions of space and time [Kant]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

16928

Mathematics cannot be empirical because it is necessary, and that has to be a priori [Kant]

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]