```Date: Mar 20, 2013 11:24 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 224

On 20 Mrz., 14:00, William Hughes <wpihug...@gmail.com> wrote:> On Mar 20, 1:17 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> <snip>>> > > So your proof that any two lines can be replaced> > > by one line without changing the contents is irrelevant.>> > Since contents can only exist in lines, and since every line is> > superset to all its predecessors, the proof is correct.>> The proof is irrelevant (it is, however, correct)Nice to hear. Not that I had any doubt, but it is nice to hear thatyou have no doubt too.> since showing that lines are not needed for their> contents does not show that the lines are not needed.The lines were invented by myself solely for this purpose.The first question is:Is the first line necessary to have the number 1 in the list.Formulated somewhat more "mathematically":Is the union of all lines different from the union of all lines exceptthe first one.Then go to the second question.> To show that actual infinity is unreasonable you> have to show the lines are not needed.I show that every line, that is not the last line, is not needed.Since there is not a last line in actual infinity, this shows that alllines are not needed.The unreasonable argument is this: "There are all lines, but there isno last line." It has been pasted together from: Every natural numbercan be regonized as such. For every natural number there is a nextone.Regards, WM
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