"Arithmeical judgemnts are synthetic."

Kant explains that although at know 5+7=12, when we think of 12 we do not merely think of 5+7. 12 can be a combination of numbers, and we must analyze the concept and provide aid to show this result. Our concpet,12, is clarified by the addition of 5+7, but can also be clarified by the addition of 6+6 or the subtraction of 13-1.