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

 Messages: [ Previous | Next ]
 David R Tribble Posts: 3,426 Registered: 7/21/05
Re: Almost infinite
Posted: Dec 16, 2012 10:33 PM

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.

>

forbi...@gmail.com wrote:
> No, only one of the elements would need to have infinite states.

Yes, I realized that only moments after I posted.
Good to know someone is paying attention to the
details.

>> 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?

>

> No finite number is larger than "almost all" finite numbers.

Granted. Any given finite numbers is less than almost
all other finite numbers.

Date Subject Author
12/11/12 David R Tribble
12/11/12 William Elliot
12/12/12 fom
12/12/12 William Elliot
12/12/12 fom
12/12/12 ross.finlayson@gmail.com
12/17/12 Porky Pig Jr
12/12/12 Richard Tobin
12/13/12 Jim Burns
12/13/12 forbisgaryg@gmail.com
12/16/12 David R Tribble
12/17/12 Calvin
12/17/12 netzweltler
12/17/12 Calvin
12/17/12 netzweltler
12/13/12 FredJeffries@gmail.com
3/17/13 fom
3/17/13 fom
3/21/13 Frederick Williams
3/21/13 scattered