1. A summary of Kant's Critique of Pure Reason
... that twelve represents the sum of seven and five. Conceptually, we can count our fingers and toes almost immediately putting the idea of twelve in our heads. This counting, however, requires the use of human intuition. With very large numbers, which we cannot count easily in our heads, it is easier to see that the mathematical operation of addition is always synthetic. Take for example the sum of 34,543 and ... 67,876. In our heads, there is only the idea of the union of these two numbers. ... Mathematics synthesizes these two numbers to form the sum 102,419. This actual sum is separat...
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- Grade Level: High School