In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 16 Mrz., 18:10, William Hughes <wpihug...@gmail.com> wrote: > > > > Ok, I understand. Anyhow, if the number of lines is not empty, then > > > there must remain at least one line as a necessary line. > > > > Not a particular line. This is similar to > > the case where any set of lines with an unfindable > > last line has at least one "necessary" findable line. > > This line has a line number in the original > > list but we can choose the "necessary" > > findable line to have any line number we want. > > No, it is always the last line.
WH is saying that in any set of lines containing an unfindable line there must also be a findable line.
> We call it unfindable or unfixable > because as soon as we have found it, it is no longer the last line.
If finding it makes it not what it is supposed to be, the how does one prove that any such thing exists?
It seems that as soon as you even try to refer to it, it is no longer what you want it to be.
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. --