In fact, some might say it’s quite logical.Īlso, I’d just like to point out this comment. Math actually makes a decent bit of sense. There’s one comment that says something about “the infinity principle” and how because infinity extends to both sides, so then infinity sides=zero sides.Īlso a comment that basically seems to say mathematics is this lovecraftian incomprehensible thing and therefore it doesn’t make sense. Since there is no theoretical limit to smallness and no such thing as smallest object/thing, then 1/INF or 1/INFINITY is infinitesimal. They do clarify later that they were considering the idea of picking any sufficiently small number to be effectively an infinitesimal/be effectively zero and admits that pure mathematicians would disagree. (The epsilon delta definition (and standard calculus as a whole) does not use infinitesimals.) There’s also a math teacher who seems to initially say that calculus uses infinitesimals, and proceeds to point towards the epsilon delta definition of a limit as using them in calculus. Some people are also saying that since the limit as the number of sides approaches infinity of regular polygons is a circle, circles then have infinite sides. In something like R 2 where we could define a circle, it doesn’t exactly have infinitesimals. NSA replaces limits with reasoning about infinite nearness, which reduces many complicated arguments to simple hyperreal arithmetic.
Infinitesimals don’t really come into play here. Various replies further down go on to say that circles have infinite sides of infinitesimal length. The top level comment claims that circles have infinite sides. R4: A case of “how many sides does a circle have, 0 or infinity?”
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