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Topic: Almost infinite
Replies: 19   Last Post: Mar 21, 2013 2:40 PM

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Frederick Williams

Posts: 2,166
Registered: 10/4/10
Re: Almost infinite
Posted: Mar 21, 2013 9:52 AM
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David R Tribble wrote:

>
> But is there some mathematically meaningful definition of "almost
> infinite"? If we say that m is a "nearly infinite" number, where
> m < omega, but with m having some property that in general makes it
> larger than "almost all" finite n?


According to von Neumann's account of ordinal numbers, "x < omega" means
just the same as "x is an element of omega", and omega is just the set
of natural numbers.

But there are other accounts of infinite number.

--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting



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