Combining Texts

Ideas for 'On the Natural Faculties', 'Anselm's Argument' and 'Prolegomena to Any Future Metaphysic'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics cannot proceed just by the analysis of concepts [Kant]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry is not analytic, because a line's being 'straight' is a quality [Kant]
Geometry rests on our intuition of space [Kant]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are formed by addition of units in time [Kant]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
7+5 = 12 is not analytic, because no analysis of 7+5 will reveal the concept of 12 [Kant]