On 18 Feb., 14:11, William Hughes <wpihug...@gmail.com> wrote: > On Feb 18, 1:38 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > On 18 Feb., 11:53, William Hughes <wpihug...@gmail.com> wrote: > > > > Is there a potentially infinite sequence, > > > x, such that the nth FIS of x consists of > > > n 1's > > > Yes, of course > > Let y be a potentially infinite process
There are no processes with respect to numbers and lists. They are existing or are not existing. Potential infinity with respect to natural numbers means: You can consider every natural number you like. There is no upper threshold. So name any set of natural numbers - except usingnaive and couterfactual "all" of some kind like "all prime numbers" or all "even numbers". > > > > > > Please start your answer yes or no and > > > note that we are talking about x, not d. > > > Please answer as politely: Is there any n with no line containing > > d_1, ..., d_n > > No.
Now realize what potential infinity means: There are no processes in above list. We simply write some lines and stop at some point. There is no further information contained in the list. By using "..." we simply express the idea that the point where we stop is not limited by any natural number m.