Mohsen Ravanbakhsh wrote: > >Hi everybody, >I need to clarify. When we build this new combined system, we would be >immune to Godelian statements for one of them not for the whole system, >whatever it might be. So Jesse's argument does not hold, and of course the >new system does not contradict the Godel's theorem, it's (was!) just a way >to avoid it.
But didn't you claim the combination of the two of them would be "complete"? "Complete" is supposed to mean a system will print out *every* true statement about arithmetic, and a Godel statement for a theorem-proving system is itself a true statement about arithmetic. So if the combined system has a Godel statement that it will never print out, and the combined system prints out every statement that the two of them can print out, then the combination of the two of them does not allow you to escape incompleteness. Jesse _________________________________________________________________ More photos, more messages, more storage--get 2GB with Windows Live Hotmail. http://imagine-windowslive.com/hotmail/?locale=en-us&ocid=TXT_TAGHM_migration_HM_mini_2G_0507 --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---
