My apologies on the long delay on my reply! I had intended to reply to this another time as I had some other conversations in play, and only remembered this recently.
No worries at all, my friend!
If we say 'experience' here is 'empirical data', then I'm fine with this. Our thoughts, memories, etc are all 'experience', but I suppose not define here
I would say it is also independent of the imagination, thoughts, memories, etc. being that it is the necessary preconditions for that as well.
True 'non-empirical' based experiences are what we would call 'instincts'.
Not quite: an instinct is a way one is predisposed to reacting to experience; whereas the
a priori means of cognizing objects is a way we are pre-structured to experience. To your point, we could very well say that there are
a priori instincts we have vs. ones we learn. My point here is just that you are invalidly forming a dichotomy between ‘instincts’ and ‘experience’ which turns out to be a false one.
A JTB theory of knowledge has long been countered by "The Gettier Problem".
I no longer see the gettier problems as problematic at all (tbh); but you are correct.
What is apriori knowledge if apriori is simply instinct? The moment a baby kicks, it knows what its like to kick through its empirical sensations. The moment a child learns about ''the number 1' its now empirical knowledge. 'Apriori knowledge' is a misnomer. It doesn't make any sense.
You aren’t thinking about it properly, and this is what is the root of the confusion. Not everything that is
a priori is instinctual (like I noted before); and
a priori knowledge is any knowledge which has its truth-maker in the
way we experience as opposed to
what we experience.
This is why Kant noted that math is
a priori; because no matter
what you are experiencing, the propositions in math are true in virtue of the way we cognize objects in space and time which is true for anything a human will experience. “1 + 1 = 2” is true as grounded by the way our brains cognize, the mathematical axioms which it has, and not because of something we learned about something which we experienced (in terms of its purely empirical content). This is why Kant famously said that all knowledge begins with experience but that does not mean all knowledge arises out of experience.
All bodies are extended is something we empirically learn by experience, not anything we are born with.
Again, all knowledge begins with experience—not all knowledge arises out of it. The space which objects are presented to you in is purely synthetic: it is something your brain added into the mix—not empirical data.
The problem you are having is that ‘experience’ encompasses both an
a priori and
a posteriori aspect; and so there are equivocations being made here by both of us in our discussion. I will try to be more clear from now on. What we are discussing is not if knowledge begins with experience, but if there aspects of our experience which are not experiential.
Its similar, but not exactly the same. The most like apriori is distinctive knowledge
No, my point is that your theory sidesteps the question: it doesn’t address it and doesn’t eliminate its possibility. Nothing about distinctive vs. applicable knowledge negates the possibility of
a priori knowledge: the
a priori vs.
a posteriori distinction is a different one than you are addressing in your theory; and I am merely noting that
a priori knowledge is not incompatible with your view.
There is no instinct to do math in any base. It takes time for this to develop in humans.
Bases are just different ways to represent numbers: I am talking about numbers themselves