Re: infinity


Tony Orlow (aeo6) wrote:

>I never claimed the sum of all finite naturals "exists".

and

>Given that the set of finite naturals is necessarily finite, the sum of that
>finite number of finite terms is finite, even though we can never specify it.

TO does not see a problem in saying that something is finite,
does not exist and cannot be specified.

-William Hughes

.

Relevant Pages

  • Re: infinity
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    (sci.math)
  • Re: infinity
    ... the sum of a finite number of finite integers is finite. ... there are only a finite number of finite naturals. ... > the set of finite numbers is infinite derives from the contradiction inherent ...
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  • Re: infinity
    ... >>> Taking the sum of all finite naturals depends on identifying the last of them ... >>> the set of finite numbers is infinite derives from the contradiction inherent ... You cannot pin down the largest finite natural, ...
    (sci.math)
  • Re: infinity
    ... the sum of a finite number of finite integers is finite. ... there are only a finite number of finite naturals. ... the set of finite numbers is infinite derives from the contradiction inherent ... has as its largest member a number equal to the size of the set. ...
    (sci.math)
  • Re: infinity
    ... >> aeo6 Tony Orlow wrote: ... I never claimed the sum of all finite naturals "exists". ... > unless that length is allowed to be infinite. ...
    (sci.math)