So wait did anyone ever fix the whole "to cross a distance I must cross half the distance etc" all distance contain an infinite sum thing? Is the answer just that infinite sums can have finite results?
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in the mathematical model, yes, infinite sums (over either distance or time) can have finite results. in âthe real worldâ (slightly less idealized model) itâs not at all clear that itâs possible ro infinitely subdivide space or time, or perform infinitely many actions
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a thing that i think mathematicians and physicists donât do a good job of conveying is that most of our use of large infinite objects like the real numbers is a matter of convenience. the infinite is a convenient approximation of the merely unimaginably large finite
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wait
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this is not a universal opinion to be clear but i think itâs quite defensible. doron zeilberger is notably very vocal about this: users.uoa.gr/~apgiannop/zei
lol sorry was this load-bearing i am happy to talk more
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Sqrt 2 can be manipulated in a very finitist manner.
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