Date: Mar 22, 2013 6:21 PM
Author: fom
Subject: Re: Matheology § 224

On 3/22/2013 4:49 PM, WM wrote:
> On 22 Mrz., 22:37, William Hughes <wpihug...@gmail.com> wrote:
>> On Mar 22, 10:24 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>
>>
>>
>>

>>> On 22 Mrz., 21:54, William Hughes <wpihug...@gmail.com> wrote:
>>
>>>> On Mar 22, 7:24 pm, WM <mueck...@rz.fh-augsburg.de> wrote:> On 22 Mrz., 16:24, William Hughes <wpihug...@gmail.com> wrote:
>>
>>>> <snip>
>>
>>>>>> Infinite sets are different from finite sets
>>>>>> but they do not contain anything
>>>>>> "beyond any finite set".

>>
>>>>> Of course.
>>
>>>> We have now established that there
>>>> are sets that do not contain anything
>>>> "beyond any finite set" but
>>>> are different from finite sets.

>>
>>> That is potential infinity.
>>
>> Nope, that is actual infinity. (In potential
>> infinity you cannot have a set that is different from
>> finite sets because all sets are finite)-

>
> All sets are finite, but not fixed. There is no upper threshold,
> contrary to every finite set.
>


That would be the word "all" which is taken in the
literature to be associated with the identity criteria
by which the objects spoken of may be treated as
individuals referred to by singular terms.