Quentin Anciaux skrev: > Hi, > > Le Wednesday 28 November 2007 09:56:17 Torgny Tholerus, vous avez écrit : > >> >> You only need models of cellular automata. If you have a model and >> rules for that model, then one event will follow after another event, >> according to the rules. And after that event will follow another more >> event, and so on unlimited. The events will follow after eachother even >> if you will not have any implementation of this model. Any physics is >> not needed. You don't need any geometric properties. >> >> > Sure, but you can't be ultrafinitist and saying things like "And after that > event will follow another more event, and so on unlimited". >
There is a difference between "unlimited" and "infinite". "Unlimited" just says that it has no limit, but everything is still finite. If you add something to a finite set, then the new set will always be finite. It is not possible to create an infinite set. So it is OK to use the word "unlimited". But it is not OK to use the word "infinite". Is this clear? Another important word is the word "all". You can talk about "all events". But in that case the number of events will be finite, and you can then talk about "the last event". But you can't deduce any contradiction from that, because that is forbidden by the type theory. And there will be more events after "the last event", because the number of events is "unlimited". As soon as you use the word "all", you will introduce a limit - all up to this limit. And you must then think of only doing conclusions that are legal according to type theory. So the best thing is to avoid the word "all" (and all synonyms of that word). -- Torgny --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---
