Kant states in this section that mathematicians all "proceed according to the principle of persuaded themselves that the fundamental propositions were known from the principle of contradiction." I agree with Kant on this matter. Kant says that he opposes this theory. Math is a priori judgement.. and a priori judgement cannot be a false, it is a fact. A priori judgement cannot be interpreted through experience.
"Mathematics cannot be proceeded from concepts but only by means of the constuction of concepts." I am not sure if I understand what Kant is specially trying to say here. What exactly is the construction of concepts? I took this quote personally by Kant trying to say that once a concept is constructed, thats it. There is no other way of doing that concept.. its almost stuck in stone.
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i think what Kant means about the concept of math is that math is not learned or understood simply by exact questions and exact answerws. there are so many questions you can ask that have to do with mathematical formulas. if you used the formula correctly, applied all of the right principles and rules in order to get a certain conclusions, then the answer should be right. this means that a person must have the foundations correctly interpreted in order to be knowledgeable in math. catch my drift?
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