I had a conversation with someone once upon a time (it was quite a while back actually), and we came to the question of whether or not Turing machines could ever understand infinity. We agreed that we as humans are intimate with the extant and divisible infinities mainly through our sensory-perception, and more generally, we are able to grasp at analytic continuation. Although, computers work in modulo math and can only count up to the number of bits of information they can hold. Any opinions? Has there ever been any literature on this?