Combining Texts

Ideas for 'Parmenides', 'Prolegomena to Any Future Metaphysic' and 'What is Cantor's Continuum Problem?'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

16150

One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]

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 / a. Mathematical empiricism

10271

Basic mathematics is related to abstract elements of our empirical ideas [Gödel]

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]