Le Thursday 29 November 2007 17:22:59 Torgny Tholerus, vous avez écrit : > 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.

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I'm sorry I don't get it... The set N as an infinite numbers of elements still every element in the set is finite. Maybe it is an english subtility that I'm not aware of... but in french I don't see a clear difference between "infini" and "illimité". > So it is OK to use the word "unlimited". But it is not OK to use the > word "infinite". Is this clear? No, I don't see how a set which have not limit get a finite number of elements. > 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". If there are events after the last one, how can the last one be the last ? > 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. o_O... could you explain what is type theory ? > So the best thing is to avoid the word "all" (and all synonyms of that > word). like everything ? Regards, Quentin Anciaux -- All those moments will be lost in time, like tears in the 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 -~----------~----~----~----~------~----~------~--~---