synthetic a priori, n.Definitions

The Synthetic a priori (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠what Kant meant by 7 + 5 = 12, explained by an equation not being replaceable by a tautology.

The Synthetic a priori (n.) can ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠stay if you keep Kant, but then there are as many irreducible classes of it, and as many tables of categories, as there are regions of being.

The Synthetic a priori (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠best exemplified by the distribution of primes, which no analysis of the concept prime number could uncover.