RE: The seven step-Mathematical preliminaries

2009-06-11 Thread Bruno Marchal
On 10 Jun 2009, at 20:00, Brent Meeker wrote: Bruno Marchal wrote: On 10 Jun 2009, at 02:20, Brent Meeker wrote: I think Godel's imcompleteness theorem already implies that there must be non-unique extensions, (e.g. maybe you can add an axiom either that there are infinitely many

Re: The seven step-Mathematical preliminaries

2009-06-11 Thread Bruno Marchal
On 10 Jun 2009, at 20:17, Jesse Mazer wrote: From: marc...@ulb.ac.be To: everything-list@googlegroups.com Subject: Re: The seven step-Mathematical preliminaries Date: Wed, 10 Jun 2009 18:03:26 +0200 On 10 Jun 2009, at 01:50, Jesse Mazer wrote: Such an hypercomputer is just what Turing

Re: The seven step-Mathematical preliminaries

2009-06-11 Thread A. Wolf
As I said, you can formalize the notion of soundness in Set Theory. But this adds nothing, except that it shows that the notion of soundness has the same level of complexity that usual analytical or topological set theoretical notions. So you can also say that unsound means violation

Re: The seven step-Mathematical preliminaries

2009-06-11 Thread Bruno Marchal
On 11 Jun 2009, at 14:48, A. Wolf wrote: As I said, you can formalize the notion of soundness in Set Theory. But this adds nothing, except that it shows that the notion of soundness has the same level of complexity that usual analytical or topological set theoretical notions.

Re: The seven step-Mathematical preliminaries

2009-06-11 Thread Brent Meeker
A. Wolf wrote: As I said, you can formalize the notion of soundness in Set Theory. But this adds nothing, except that it shows that the notion of soundness has the same level of complexity that usual analytical or topological set theoretical notions. So you can also say that unsound