Combining Philosophers
Ideas for Immanuel Kant, Galen Strawson and Edward Conze
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
9 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]
|
8739
|
Geometry studies the Euclidean space that dictates how we perceive things [Kant, by Shapiro]
|
16919
|
Geometry rests on our intuition of space [Kant]
|
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 / 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 / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
9632
|
Kant only accepts potential infinity, not actual infinity [Kant, by Brown,JR]
|