In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 14 Mrz., 20:58, Virgil <vir...@ligriv.com> wrote: > > > > Please look up what Zermelo wrote. (In Matheology § 225 you will find > > > the orginal German text.) It is always possible /to choose/ an element > > > from every non-empty set and to union the chosen elements into a set > > > S_1. > > > > If that is what Zermelo said then he was wrong to say it because one > > does not ever "union" elements, only sets. > > Zermelo does. "Die Elemente zu einer Menge zu vereinigen". And there > is no reason why anybody with some knowledge of ZFC should reject > that, since in ZFC everything is a set, even the elements resulting of > this choice. > > Again you try to pull down the discussion to your nitpicking level in > order to avoid the recognition that only countably many elements can > be chosen by anybody including Gods.
Now WM would tell gods what they are and are not allowed to do?
Egotistical arrogance infinitely compounded!
By someone who cannot even get linearity straight.
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. --