... that structuring could be synthetic and you could know those principles A priori. There are many examples of what Kant considered to be synthetic a priori judgements, all judgements of mathematics and geometry. In natural science such judgements as "every event has a cause." In metaphysics, "There is a God," and "the soul is a simple substance, distinct from the body ... ...

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... of human reason or inquiry may naturally be divided into two kinds, relations of ideas, and matters of fact." (H,636) Relations of ideas include all types of Mathematics, such as geometry, algebra, and arithmetic. He argues that relations of ideas are a priori, independent of the existence of the universe. In contrary, matters of fact are not a priori, but arise solely from ... ...

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