In article <5a47a2dc-4cf4-4704-835b-2dffe92d57e2@j9g2000vbz.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 14 Mrz., 08:39, William Hughes <wpihug...@gmail.com> wrote: > > On Mar 13, 11:05 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > On 13 Mrz., 22:41, William Hughes <wpihug...@gmail.com> wrote: > > > > > > Let J be a set of the lines of L with no > > > > findable last line. At least two lines > > > > belong to J. Are any lines of J necessary? > > > > > Remove all lines. > > > Can any numbers remain in the list? No. > > > Therefore at least one line must remain in the list. > > > > > We do not know which it is, but it is more than no line. > > > In other words, it is necessary, that one line remains. > > > > However, it is not necessary that any one particular > > line remain. So while it is necessary that the set > > J contain one line, there is no particular line l that is > > necessary. > > Correct. But I have not claimed that there are particular lines. > This thread has become to long. Therefore I will publish the final > result in Matheology § 224. > > Regards, WM
WM has frequently claimed that a mapping from the set of all infinite binary sequences to the set of paths of a CIBT is a linear mapping. In order to show that such a mapping is a linear mapping, WM must first show that the set of all binary sequences is a vector space and that the set of paths of a CIBT is also a vector space, which he has not done and apparently cannot do, and then show that his mapping satisfies the linearity requirement that f(ax + by) = af(x) + bf(y), where a and b are arbitrary members of a field of scalars and x and y are f(x) and f(y) are vectors in suitable linear spaces.
By the way, WM, what are a, b, ax, by and ax+by when x and y are binary sequences?
If a = 1/3 and x is binary sequence, what is ax ? and if f(x) is a path in a CIBT, what is af(x)?
Until these and a few other issues are settled, WM will still have failed to justify his claim of a LINEAR mapping from the set (but not yet proved to be vector space) of binary sequences to the set (but not yet proved to be vector space) of paths ln a CIBT.
Just another of WM's many wild claims of what goes on in his WMytheology that he cannot back up. --
