RITSIAR (was Numbers, Machine and Father Ted)

2006-11-03 Thread Bruno Marchal
Le 02-nov.-06, à 17:34, David Nyman a écrit : Bruno Marchal wrote: I don't understand really what you mean by AUDA is not RITSIAR. AUDA is just the lobian interview, or if you prefer the complete mathematical formalization of the UDA reasoning. In some sense you can interpret it as the

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-03 Thread John M
Marc, I do not argue with 'your half' of the 'answer' you gave to the conference announcement of Jürgen Schm , I just ask for the 'other part': what should we call a computer? 'Anything' doing Comp? (meaning: whatever is doing it)? Will the conference be limited to that technically embryonic

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-03 Thread Saibal Mitra
uncompoutable numbers, non countable sets etc. don't exist in first order logic, see here: http://www.earlham.edu/~peters/courses/logsys/low-skol.htm [EMAIL PROTECTED] [EMAIL PROTECTED]: Ah the famous Juergen Schmidhuber! :) Is the universe a computer. Well, if you define 'universe' to

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-03 Thread Bruno Marchal
It is not a question of existence but of definability. For example you can define and prove (by Cantor diagonalization) the existence of uncountable sets in ZF which is a first order theory of sets. Now uncountability is not an absolute notion (that is the Lowenheim-Skolem lesson). Careful:

Re: RITSIAR (was Numbers, Machine and Father Ted)

2006-11-03 Thread 1Z
Bruno Marchal wrote: Le 02-nov.-06, à 17:34, David Nyman a écrit : Bruno Marchal wrote: I don't understand really what you mean by AUDA is not RITSIAR. AUDA is just the lobian interview, or if you prefer the complete mathematical formalization of the UDA reasoning. In some sense

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-03 Thread Bruno Marchal
In conscience et mécanisme I use Lowenheim Skolem theorem to explain why the first person of PA see uncountable things despite the fact that from the 0 person pov and the 3 person pov there is only countably many things (for PA). I explain it through a comics. See the drawings the page