You're using math, but as I'll note, I still don't see that as knowledge independent of experience.
It is
grounded in—i.e., make true in virtue of—something which is not empirical. The space which objects take up on your conscious experience is not empirical—it is not
a posteriori. Any knowledge which one has which is true in virtue of the way, e.g., objects work in space is
a priori.
I think you are thinking that
a priori knowledge is knowledge which one has independently of
ever having experienced anything; and I am partially to blame to for that: I was misusing the term a while back.
Taking space as another example, the axiom in geometry that “the shortest path between two points is a straight line connecting them” is a proposition that is true in virtue of the
way we experience as opposed to
what we experience—it doesn’t matter the empirical data which our brains represent, the
a priori mode of representing them in space remains the same.
What I think you are thinking, is that because we can only knowledge this after beginning to experience that we do not have
a priori knowledge; but the “a priori” in “a priori knowledge” is conveying how it is grounded—specifically that it is not grounded in empirical data.
a posteriori knowledge is knowledge which is grounded in empirical data, and is, thusly, about reality; whereas
a priori knowledge is about how we perceive reality.
The apriori of a fish would be very different from a human.
This isn’t a coherent sentence: the
a priori...what?
I'm talking about instincts as the being of a person prior to any experience.
Then the root of our disagreement there is merely semantical: that’s not usually what an “instinct” means. For example, Webster’s is “a largely inheritable and unalterable tendency of an organism to make a complex and specific response to environmental stimuli without involving reason”.
Instincts are behavior patterns not attributable to being learned through reason; and most the
a priori pre-structure of cognition, intuition, judgment, etc. do not fit that bill.
The point that I was making with “applicable” vs. “distinctive” knowledge, is that it doesn’t preclude
a priori knowledge; and it would be applicable knowledge in your theory (assuming I grant our theory in its entirety).
Here’s the definitions you have in your summary:
A discrete experience is not a claim about the truth of what is being experienced. It is the act of creating an identity within the sea of one’s experience...Knowledge is a deduction that is not contradicted by reality.
...
What I discretely experience is distinctively known. Yet my distinctions assert more than the most basic discrete experiences about reality, such as applying meaning, consistent identities, and claims about greater reality beyond these distinctions. These types of distinctions are known to myself, but it is unknown whether their claims about reality apart from the distinction itself can be known. I find the only way to know such beliefs is to apply it beyond the distinction itself. This will be called applicable knowledge.
I discretely experience, and I extract from it the necessary forms of that experience (as opposed to the empirical data of that experience); and I apply my hypothesis without contradiction to reality, thusly making it applicable knowledge that is
a priori knowledge. I don’t see anything incorrect going here, even in terms of your position.
Ok,
@Mww, I see your point now: “reality” cannot include the
a priori modes of cognizing it; so our
a priori faculties are not technically “real” in that sense, but must be grounded ontologically in something which allows for those faculties to exist—we just can’t know definitively what that is (viz., I do not know myself as I am, but merely as I appear to myself).
I noted that math is the logic of discrete experience. But it still needs to be learned through experience.
I can’t tell if you are saying we just self-reflectively use math to navigate experience, or that math is a form of how we experience—the difference between saying, e.g., the ball has mathematically features itself (phenomenally), or that we just use math to nominally understand the ball (phenomenally).
This is why Kant famously said that all knowledge begins with experience but that does not mean all knowledge arises out of experience. — Bob Ross
A fun and poetic saying, but it does not make logical sense
You aren’t understanding it (with all due respect); and I can see now this is the root of our disagreement. You are thinking that
a priori knowledge is knowledge one comes born with in the sense that they don’t have to glean it from the forms of experience—that’s not what it means.
All empirical data is from your brain Bob. All experience is in your brain.
Space data is not empirical—you are using the terms to loosely. There are aspects of your experience which your brain produces as a matter of how it is pre-structured to represent vs. the actual empirical data it is representing.
How can one have experience and also not have experience?
I was noting that not all aspects of experience are empirical; and I can’t tell if you agree with that or not (yet).