So let’s say you’re in a world where putting 5324 and 2326 apples together produces 157 apples (due to weird physics). In that world, what would a calculator (which is itself a physical object), or a brain, for that matter, that produces “5324 + 2326 = 7650”, look like?
Could you have the same sort of expansive mathematical framework (that we have today), that would be represented (computed) by a fairly “simple” object such as a calculator/computer? And how much (if at all) more complex (in terms of the physical representation/structure of various sorts of mathematical operations) would such a computer necessarily have to be?
All I have postulated about that strange world was the assumption about addition of apples. I have no consistent model how that world works besides that and thus I can’t answer your question.
So let’s say you’re in a world where putting 5324 and 2326 apples together produces 157 apples (due to weird physics). In that world, what would a calculator (which is itself a physical object), or a brain, for that matter, that produces “5324 + 2326 = 7650”, look like?
Could you have the same sort of expansive mathematical framework (that we have today), that would be represented (computed) by a fairly “simple” object such as a calculator/computer? And how much (if at all) more complex (in terms of the physical representation/structure of various sorts of mathematical operations) would such a computer necessarily have to be?
All I have postulated about that strange world was the assumption about addition of apples. I have no consistent model how that world works besides that and thus I can’t answer your question.