a prior and a posteriori cont...

In the book Kant goes a little further into the distinction between a priori and a posteriori and analytic and synthetic judgments. According to Kant All analytic judgments are a priori, this is because they are in the breakdown of the concept itself. While synthetic judgments can either be a priori or a posteriori. Kant then goes into classifying synthetic judgments into three types, judgments from experience, mathematical judgments, and metaphysical judgments.

Simply put judgments from experience are a posteriori because they are just the combining together objects of experience. This would be taking into effect what had happened in previous experiences to judge what is going to happen in this case. Mathematical judgments are a priori judgments. Kant says the concept of 7+5 contains the idea of the two numbers but does not contain the idea of 12. We have to think about it and associate the two numbers with the idea of 12. Lastly metaphysics also consists of synthetic a priori judgments since metaphysics is made up largely of analytic judgments since these are the only things that metaphysicians can agree upon. Though there are synthetics judgments that are built upon these analytic judgments.