Combining Texts

Ideas for 'Truth and the Past', 'The Philosophy of Mathematics' and 'Critique of Pure Reason'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

8739	Geometry studies the Euclidean space that dictates how we perceive things [Kant, by Shapiro]

8740	Geometry would just be an idle game without its connection to our intuition [Kant]

16899

Geometrical truth comes from a general schema abstracted from a particular object [Kant, by Burge]

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 / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

9632	Kant only accepts potential infinity, not actual infinity [Kant, by Brown,JR]