Le 21-août-06, à 18:55, David Nyman a écrit :
> >> I don't think Bruno and Stathis are arguing that numbers are >> neceesarily >> the only things that exist (although a standard Platonist might argue >> that >> that they are the only things that exist necessarily..) > > But aren't they claiming that numbers are the only things necessary > (together with the operations required for CT+YD, whatever they might > be) to account for *our* existence? If not, what else is required? Since the failure of logicism, by Godel's theorem, we can argue that numbers does not necessarily exist. Numbers does not come from logic alone. If you want them, you have to do a ontological commitment. To believe, like all mathematicians, in the structure (N,+,*,0,1) is enough for that (actually to believe in (N,+,*,0,1) is too much, but I don't want to enter in the technical details before it is really necessary). Bruno http://iridia.ulb.ac.be/~marchal/ --~--~---------~--~----~------------~-------~--~----~ 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 [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~---
