Date: Apr 4, 2013 6:02 PM
Author: Tanu R.
Subject: Re: Matheology § 224

On Thu, 4 Apr 2013 14:08:59 -0700 (PDT), William Hughes wrote:

> On Apr 4, 10:45 pm, WM <> wrote:
>> On 4 Apr., 20:57, William Hughes <> wrote:
> <snip>

>>> A collection need not share a property
>>> that every one of its elements has.  In this case
>>> every one of the elements of the collection has the property
>>> that it can be removed without changing the union.
>>> The collection does not have this property.

>> That is impossible if all elements can be removed.

> Nope. Any single element can be removed. This does not
> mean the collection of all elements can be removed.

Just like one cannot make a infinite set by keeping to add
a finite number of elements to a finite set.

Now WM tells that mankind cannot build an "actual" infinite set,
which it takes a prove "actual" infinite sets cannot exist.

Enjoy ;)