this post was submitted on 08 Dec 2024
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Except, that's in the real world of physics. In this mathematical/philosophical hypothetical metaphysical scenario, x is infinite. Thus the probability is 1. It doesn't just approach infinite, it is infinite.
oh boy, no. if anything, it would be the other way around. in real world calculations, you can sometime approximate and still get reasonably precise result, or boundary, depending on your needs. not so in math.
hence the jokes like "for mathematician, pi as a pi. for physicist, pi is roughly 3,14, for civil engineer, pi is roughly 3."
it is not.
x is not infinite. x is a variable, that is to be substituted by specific number. infinity is not a number, it is a concept that express the fact that you explore how the function behaves when you are substituting bigger and bigger numbers. but none of these numbers are "infinity". it is always specific number and the result never reaches the limit of the function. in this case, it is never 1, no matter how big number you substitute.
https://en.wikipedia.org/wiki/Limit_of_a_function