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Physical proof that infinity isn't real

Name: Anonymous 2013-01-27 16:32

Physicist frequently use infinity when talking about fields (ex. V = integral of E*dr from 0 to infinity) but if the fields were infinite, be they gravitational or electric, they would span the entire universe and all things effected by it would collapse into a single, crushing point. This has clearly not happened and is not happening. QED, infinity is not real.

Name: Anonymous 2013-01-27 21:16

>>36

The analog to that would be induction, but you don't always have to use it.

Let f(n) = 1/(n^2).
Let s(n) be the summation: s(n) = \sum_{i=1}^{n}(f(i)) = \sum_{i=1}^{n}(1/(i^2))

Prove that there exists an upper bound, c, such that for all chosen n, you have that s(n) < c.

You don't need to talk about infinity. You just avoid assuming an upper bound for n. So all your arguments would apply regardless of how large (or how small) n is.

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