In article <email@example.com>, firstname.lastname@example.org wrote:
> On Friday, 5 July 2013 20:13:08 UTC+2, Virgil wrote: > > >> Why should anybody join you in the matheological claim that a sequence 0, > >> 0, 0, ... has limit oo ??? > > > That sequence doesn not have that limits anywhere > > That is true - except in matheology where the sequence 1/Card(|N\FIS(n)) is 0 > for every n but has limit oo.
NO! That 'sequence' is only defined in WM's wild weird world of WMytheology, so has no limit anywhere else.
And outside of WM's wild weird world of WMytheology, a sequence of all zeroes would always have limit zero, because:
Outside the wild weird world of WMytheology, every neighborhood of the limit of a real sequence must contain all but finitely many members of that sequence.
A mathematician would have known that, but WM clearly does not, so is clearly not a mathematician. --