Hi, Le Friday 21 December 2007 13:08:38 Günther Greindl, vous avez écrit : > Hi Russell, > > Russell Standish wrote: > > In your first case, the number (1,1,1,1...) is not a natural number, > > since it is infinite. In the second case, (0,0,0,...) is a natural > > number, but is also on the list (at infinity). > > Why is (1,1,1,...) not in the list but (0,0,0,...) in the list at > infinity? This seems very arbitrary to me.
Because zero even repeated an infinity of time is zero and is a natural number. (1,1,1,...) can't be a natural number because it is not finite and a natural number is finite. If it was a natural number, then N would not have a total ordering. > I am becoming more and more an ultra-finitist. Arguments with infinity > seem to be very based on the assumptions you make (about platonia or > whatever) Finite and infinite concepts are dual concepts you can't leave one without leaving the other. > Regards, > Günther Regards, Quentin Anciaux -- All those moments will be lost in time, like tears in rain. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
