In article <a4e8dab1-c681-48ca-bc5e-08ceba1ba25c@i5g2000vbk.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 7 Mrz., 21:32, Virgil <vir...@ligriv.com> wrote: > > > > > > Here we are asking what lines of the list > > > > > 1 > > > > > 1, 2 > > > > > 1, 2, 3 > > > > > ... > > > > > are required to contain all natural numbers. The first three lines are > > > > > definitively not required. And every mathematician can show that no > > > > > line is required, > > > > > > While no particular line is required, WM is falsely implying hat no > > > > lines are required at all, whereas infinitely many lines are required. > > > > > Every line that is not the last line, is not required, because the > > > next one contributes all that the line could contribute. > > > > Since there is no last line, what you are saying is nonsense. > > Try to think like a human being called sapiens sapiens should do: > Can a line that is not the last line, i.e., that has a follower, can > such a line be required in any respect? > > If there is no last line, then no line is required.
No particular line is required, but that is not the same as saying that no lines are required.
Outside of Wolkenmuekenheim, infinitely many lines are neccessary, and any infinite set of lines is sufficient. Inside of Wolkenmuekenheim, no one can say how many are required, since the one that WM claims to be sufficient is one that does not exist, even in Wolkenmuekenheim.
> This is a fact, > easy to prove. Therefore this is not nonsense. The consequence is that > the complete set |N is nonsense.
In Wolkenmuekenheim everything is nonsense, and outside Wolkenmuekenheim everything by WM is nonsense. > > > > Please explain how lines that obviously are not required should be > > > required. > > > > Where have I ever said that any one particular line was required? > > You said infinitely many lines were required to contain |N. But since > at most one of them is the last line, infinitely many of the lines > claimed by you are *not* required.
Unless WM can identify that alleged "last line" outside of Wolkenmuekenheim and prove that it exists outside of Wolkenmuekenheim, there is no such thing outside of Wolkenmuekenheim, which is where everyone but WM lives and does their mathematics. > > Regards, WM
And where is WM's proof that some mapping from the set of all binary sequences to the set of all paths of a CIBT is a linear mapping? WM several times claimed it but cannot seem to prove it. --