# Infinity

**URL:** <https://boards.straightdope.com/t/infinity/615256>\
**Category:** Factual Questions\
**Created:** [March 9, 2012, 12:59pm UTC](https://boards.straightdope.com/t/infinity/615256 "2012-03-09T12:59:27Z")\
**Posts on this page:** 1\
**Page:** 2

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [March 9, 2012, 9:04pm UTC](https://boards.straightdope.com/t/infinity/615256/21 "2012-03-09T21:04:45Z")

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And there are other generalizations of the real numbers which can have a plethora of “numbers” which are greater than all of the real numbers. For instance, you might generalize numbers to functions, and say that g \> f iff there is some x[sub]0[/sub] such that for all x \> x[sub]0[/sub], g(x) \> f(x). All of the real numbers would then correspond to constant functions (like f(x) = 1 or f(x) = pi or whatever), but then you’d also have functions like f(x) = x, which surpasses each real number for a sufficiently large x.

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