I'm sorry but I have no idea how to answer your question, which is indeed philosophical. You see, I'm not a philosopher, but a scientist. Science seeks to pose questions, and answer them; philosophy seeks to pose questions, and question them. Me, I like answers more than questions so I don't care about philosophy much.
well yeah its partially philosphical, i guess my haphazard use of language like βallβ makes it more philosophical than intended.
but im getting at a few things.
one of those things is neurological. how do deductive inference constructs manifest in neurons and is it really inadvertently an inductive process that that creates deductive neural functions.
other aspect of the question i guess is more philosophical. like why does deductive inference work at all, i think clues to a potential answer to that can be seen in the mechanics of generalization of antecedents predicting(or correlating with) certain generalized consequences consistently. the brain coagulates generalized coinciding concepts by reinforcement and it recognizes or differentiates inclusive instances or excluding instances of a generalization by recognition properties that seem to gatekeep identities accordingly. its hard to explain succinctly what i mean by the latter, but im planning on writing an academic paper on that.