One possible key element about a priori knowledge that would allow a precise understanding of it would raise from the question: is (Kantian) a priori knowledge produced consciously or subconsciously?

Kant would suggest that a priori is mostly produced subconsciously, (e.g. as space or time), so it would allow sense-experience to be gathered and used. That is quite evident. But it would appear that some types of a priori knowledge seem to be a conscious result like mathematics.

Mathematics is clearly a rational product of conscious experience. Its linguistic dimension (math is, on one hand, a language) is evidently a rational development. Its instrumental dimension (math is, on the other hand, a tool), is also evidently a rational development.

What philosophical references address the question of whether a priori knowledge is a conscious or a subconscious development?

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    A priori forms of intuition, like space and time, transcendental schematism and the understanding may operate subconsciously to make a priori knowledge possible, but "subconscious knowledge" is an oxymoron for Kant, a priori or empirical. Any knowledge is a "rational development", whatever its source or basis might be.
    – Conifold
    Nov 9 '20 at 7:04

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