Combining Texts

Ideas for 'W.V. Quine', 'Critique of Pure Reason' and 'Meaning and Necessity'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry studies the Euclidean space that dictates how we perceive things [Kant, by Shapiro]
Geometry would just be an idle game without its connection to our intuition [Kant]
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 / b. Types of number
The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Kant only accepts potential infinity, not actual infinity [Kant, by Brown,JR]