HA!!! I don’t visit this category, so never saw the thread. Which would have got my attention forthwith, donchaknow. If only you’d done that notification thingy I don’t even know what it’s called but people do it all the time, kinda thing.
So….in response to the opening query, re: the author recounting Hegel (although without the Hegelian context), “synthetic a prior knowledge regards the formal cognitive structures which allow for experience."……it is somewhat ambiguous, I think.
A priori in CPR is stipulated in the text as pure, meaning absent any and all empirical conditions. Experience, in Kant, is entirely empirical, therefore, in Kant
a priori knowledge has nothing to do with experience, which would include the possibility of it. The possibility of experience is determined by the categories, which are certainly pure
a priori, but are merely conceptions, and while part of the formal cognitive structure, are not constituents in the relations inherent in judgements, cognitions or knowledge.
So now it becomes….does synthetic
a priori regard the formal cognitive functions themselves, without regard to experience. Here the problem is, those same formal
cognitive functions are used for both experience and pure thought, as befitting the admitted dualistic nature of the human intellectual system. Notice, however, that “cognitive” by definition precludes sensibility, and by association, intuition, phenomenal representation and productive imagination, none of which have anything to do with understanding, the faculty of thought, hence, cognition in general. Which serves as warrant that synthetic
a priori conditions do not relate to experience, which does necessarily mandate phenomenal representation.
Knowledge is just knowledge, the distinctions for it being the relative sources of it. It is an end in itself, with means determined by the objects with which it is concerned. Empirical knowledge, or knowledge
a posteriori, is legislated by Nature, in that if our knowledge is mistakenly determined, Nature will inform us of it. Knowledge
a priori, on the other hand, having no empirical content, cannot be legislated by Nature, which is manifested empirically only, hence, must be legislated by something else, which is therefore theoretically allocated to logic, and the LNC in particular.
So knowledge
a priori, because it is legislated by logic and can have no empirical content, must get its content from representations that do not arise from anything sensible, which leaves only understanding as its source, the representations of which are conceptions. Because there is no knowledge possible at all from a single conception, it follows necessarily that knowledge
a priori is the conjunction of a manifold, or a plurality, of conceptions, the relations between them logically conditioned by the LNC. Insofar as the conjunction of conceptions to each other, commonly called the synthesis of them, must also consider the relation of one to the other, with respect to the possible distinctions in them, and the degree of that distinction, is found the relative truth contained in the proposition the synthesis obtains. Where the conceptions relate to each other with sufficient accord, they are analytical, are called tautological, and are true in and of themselves without the necessity of additional support. Where the conceptions do not relate to each other with such sufficiency, but the conception in the subject of the ensuing proposition does not relate to the conception in the predicate even at all, but rather, adds to it in the completion of the proposition, it is synthetical.
The Grand Finale…..synthetic
a priori knowledge is that in which the synthesis of dissimilar conceptions constructs a logically valid proposition, judgement or general cognition. All without any experience, or related to it in any way, but carrying with it a HUGE caveat just the same.
And what is the common name for a proposition in which the subject/predicate relation of dissimilar conceptions results in a logically valid conclusion? The answer to THAT, is what synthetic
a priori knowledge, is.