On 12 Mrz., 23:20, Virgil <vir...@ligriv.com> wrote:
> > 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,
The field of real numbers (|R, +, *) should satisfy your wishes. Written in the form of a tree with the decimal point common to all paths that stretch from oo to -oo you get the same space as a decimal tree. And if you translate that into binaries, you have the desired fields.
You can here without any limits add and subtract and multiply and divide.
Here is a sketch of the resulting Binary Tree extended to a complete space: