Combining Texts

Ideas for 'The Logic of Boundaryless Concepts', 'Substitutional Classes and Relations' and 'Prolegomena to Any Future Metaphysic'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
16918 Mathematics cannot proceed just by the analysis of concepts [Kant]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
16930 Geometry is not analytic, because a line's being 'straight' is a quality [Kant]
16919 Geometry rests on our intuition of space [Kant]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
16920 Numbers are formed by addition of units in time [Kant]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
16929 7+5 = 12 is not analytic, because no analysis of 7+5 will reveal the concept of 12 [Kant]
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]