Lightwave comments on Meanings of Mathematical Truths - Less Wrong

9 Post author: prase 05 June 2011 10:59PM

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Comment author: Lightwave 06 June 2011 07:29:31AM *  0 points [-]

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?

Comment author: prase 06 June 2011 09:19:19AM 1 point [-]

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.