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

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scattered

Posts: 57
Registered: 6/21/12
Re: Almost infinite
Posted: Mar 21, 2013 2:40 PM
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On Tuesday, December 11, 2012 10:58:13 PM UTC-5, David R Tribble wrote:
> We see the phrase "almost infinite" (or "nearly infinite", or "infinite
>
> for all practical purposes") in much literature for the layman, usually
>
> to describe a vastly large number of combinations or possibilities from
>
> a relatively large number of items. For example, all of the possible
>
> brain states for a human brain (comprising about 3 billion neurons), or
>
> all possible combinations of a million Lego blocks, etc.
>
>
>
> Obviously, these are in actuality just large finite numbers; having an
>
> infinite number of permutations of a set of objects would require the
>
> set to be infinite itself, or the number of possible states of each
>
> element would have to be infinite. Most uses of the term "infinite
>
> possibilities" or "almost infinite" are, in fact, just large finite
>
> numbers. All of which are, of course, less than infinity.
>
>
>
> 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?
>
>
>
> Personally, I don't think there is such a definition; but then I would
>
> enjoy being proved wrong.
>
>
>
> -drt


A number is almost infinite if its reciprocal is almost zero. The notion of being almost zero can be given a definite sense in fuzzy logic in various ways. So - perhaps fuzzy logic can give a handle on the question.



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