Bruno Marchal skrev: > On 08 May 2009, at 19:15, Torgny Tholerus wrote: > >> Bruno Marchal skrev: >> >>> On 07 May 2009, at 18:29, Torgny Tholerus wrote: >>> >>>> Yes it is right. There is no infinity of natural numbers. But the >>>> natural numbers are UNLIMITED, you can construct as many natural >>>> numbers as you want. But how many numbers you construct, the >>>> number of >>>> numbers will always be finite. You can never construct an >>>> infinite number of >>>> natural numbers. >>>> >>> This is no more ultrafinitism. Just the usal finitism or >>> intuitionism. >>> It seems I recall you have had a stronger view on this point. >>> Ontologically I am neutral on this question. With comp I don't need >>> any actual infinity in the third person ontology. Infinities are not >>> avoidable from inside, at least when the inside view begins some >>> self-reflexion studies. >>> >> I was an ultrafinitist before, but I have changed my mind. >> > Excellent. The ability of changing its mind is a wonderful gift. >
It was the Mathematical Universe that made me change my mind: Earlier I was convinced that the number of time steps in the universe was explicitely finite, that time goes in a circle. But the Mathematical Universe says that all mathematically possible universes exists. And it is possible to construct an EXPANDING universe, where you have a simple rule stating that the status of a space-time point is a combination of the statuses of the neighboring space-time points in the previous time point. In this universe there will never happen that the same space will be repeated at a later time, because the space consists of more space points at the later time. So in that case the universe is UNLIMITED, it will never stop, but continue for ever... -- Torgny Tholerus --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
