Our human experience is very limited.* All of our concepts and models, even our logics/maths, abstract, idealize, and simplify. As our experience grows we are likely to need new logics,** new maths.
As a simple example, A.s.a. H. can be thought of as employing a kind of approximate vector logic where various sensations constitute an input vector which is processed to generate a vector output composed of actions.
* Although, of course, telescopes (and microscopes) do allow us to look away some distance as well as some way back in time.
** See, for example, Richard Epstein, Propositional Logics, Wadsworth, 2001, especially chapter XI and Paul Weingartner, ed., Alternative Logics: Do Sciences Need Them?, Springer, 2004.
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