On 23 Feb., 23:19, Nam Nguyen <namducngu...@shaw.ca> wrote: > On 23/02/2013 2:58 PM, WM wrote: > > > > > > > On 23 Feb., 22:48, Nam Nguyen <namducngu...@shaw.ca> wrote: > >> On 23/02/2013 2:38 PM, Virgil wrote: > > >>> In article > >>> <f3b2ce4b-c9ec-447f-92b4-47a07a2e2...@5g2000yqz.googlegroups.com>, > >>> WM <mueck...@rz.fh-augsburg.de> wrote: > > >>> In mathematics [...] proofs of existence do > >>> not always require that one find an example of the thing claimed to > >>> exist. > > >> So, how would one prove the existence of the infinite set of > >> counter examples of Goldbach Conjecture, given that it does not > >> "not [...] require that one find an example" of such existences? > > > It there was a logical necessity of a counter example, this necessity > > was the proof. > > Would you be able to verify what _exactly_ you'd mean by > "logical necessity" of the existence of a counter example > of the Conjecture?
I am not interested in that conjecture.
In my case we have the sequence 1 12 123 ... in potential infinity, i.e., we cannot use "all" terms but can only go up to the nth term. There is a logical necessity that the unchanged diagonal of the list is a term of the sequence, i.e., a line of the list.