On 12 Feb., 19:41, William Hughes <wpihug...@gmail.com> wrote: > On Feb 12, 6:29 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > Your claim is that there is a line of the list that contains > > > every FIS of d (there is no mention of all)
Obviously the list
1 12 123 ...
contains every FIS of d in lines. There are never two or more lines required to contain anything that is in the list. > > > But you seem to interpret some completeness into "every". > > Remember, beyond *every* FIS there are infinitely many FISs., > > I am using your claim including the fact that beyond > *every* FIS there are infinitely many FISs.
Fine. > > I simply note that if line l contains every FIS of d, then > d and line l are equal as potentially infinite sequences.
The list is a potetially infinite sequence of lines. A line is finite. > > Your first claim is that there is a line l such that > d and l are equal as potentially infinite sequences.
What do you understand by being equal "as potetially infinite sequences"?
I said that every FISs of d is in some line of the list. However we cannot fix the number since there is no last line that could contain a last FIS (which also does not exist) of d. > > Your other claim is that there is no line > l such that d and l are equal as potentially infinite > sequences.
All we can prove is: For every n in N: FIS(1) to FIS(n) of d are in line n. Everything of d that is in the list is in one line. This line cannot be addressed. It is not fixed since there is no last step in infinity.
> You are asserting a contradiction.
You must say what you mean by being equal "as potentially infinite sequences".