Is the Universe a Simulation?Frenkel gives some sense to this idea by differentiating (no pun intended) mathematical ideas (manuscripts, really) from literary ones in the following way: Mathematical ideas are somewhat universal. The laws and constructions of Pythagorus, Euclid, Newton, etc., would surely have been created (discovered?) even if these greats had never existed. It may have taken longer for someone else to develop them. But the structure of mathematics (its logical framework) exists as it is whether we discover it or not. Try that with a sonnet sans Shakespeare....
It is a very nice read, this article, and again, gives a sense for how mathematics seems different from other disciplines of study. Frenkel mentions that many mathematicians consider themselves Platonists, believers that everything exists in the ideal, and what we perceive in this world is simply real versions of that ideal. It works for me. I would believe that it would work for most all mathematicians, really.
Frenkel even goes so far as to say that the giant computer simulation that we exist in is, like all computer simulations, not entirely without anomalies, coding inaccuracies that render the coding conspicuous. Perhaps all of our logic in mathematics is simply facets of the coding that can be detected "from within"?
Certainly a "thought to ponder"....
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