```Date: Mar 22, 2013 2:43 PM
Author: fom
Subject: Re: Matheology § 224

On 3/22/2013 1:21 PM, WM wrote:> On 22 Mrz., 16:31, William Hughes <wpihug...@gmail.com> wrote:>> On Mar 22, 10:05 am, WM <mueck...@rz.fh-augsburg.de> wrote:>>>>>>   If you want to>>>> remove all of the lines you have to remove the set of all>>>> lines that are indexed by a natural number.>>>>> But I don't want to remove a set.>>>> We have the set of lines.  You do not want to leave>> any of the lines.>> I do not want this or that.> I simply prove that for every line l_n the following property is true:> Line l_n and all its predecessors do not in any way influence (neither> decrease nor increase) the union of all lines, namely |N.>> This is certainly a proof that does not force us to "remove a set".> But we can look at the set of lines that have this property. The> result is the complete set of all lines.So now you have two complete infinities.The infinity of objects comprising |N.The infinity of finite lines whose sequentiallyordered elements are from |N.Which one is *the* infinity?Or, if there are many, how do they standin relation to one another?
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