Re: infinity

Tony Orlow says...
>
>Daryl McCullough said:
>> Tony Orlow says...
>> >
>> >Randy Poe said:
>>
>> >> You define "range" in terms of "maximum value".
>> >Maximum POSSIBLE value.
>>
>> In this case, there is no maximum possible value, so
>> there is no range, according to your definition.
>There are lots of possible values

There is no *maximum* possible value.

>and they're all finite, so whatever the
>maximum is,

There *is* no maximum, so it doesn't make
any sense to talk about whether it is finite
or not.

>it's finite. To maintain that the range of values disappears
>because we can't identify a largest is silly.

No, it shows that your definition of "range" is
silly; it doesn't apply to the set of all finite
naturals.

>Do you want to pretend that there
>are no values, or differences between values, in the set?

There is no *maximum* difference between values.

>Of course the values
>have a wide range? Is it infinite? No.

By your definition, there is no range, so it
makes no sense to talk about whether it is
finite or infinite.

--
Daryl McCullough
Ithaca, NY

.

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