Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread 1Z
On 12 Sep, 01:50, Youness Ayaita <[EMAIL PROTECTED]> wrote: > No(-)Justification Justifies The Everything Ensemble > The amazing result of these simple considerations is that we get the > Everything ensemble gratis! We don't need any postulate. But how is > this transition made? At this point I

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread 1Z
On 12 Sep, 15:32, Youness Ayaita <[EMAIL PROTECTED]> wrote: > For further > research, it is then natural to identify imaginable things with their > descriptions and to choose a simple alphabet for expressing the > descriptions (e.g. strings of 0 and 1). How would you express "A thing such that

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Youness Ayaita
On 13 Sep., 13:26, 1Z <[EMAIL PROTECTED]> wrote: > On 12 Sep, 01:50, Youness Ayaita <[EMAIL PROTECTED]> wrote: > > > No(-)Justification Justifies The Everything Ensemble > > The amazing result of these simple considerations is that we get the > > Everything ensemble gratis! We don't need any postu

Re: Rép : Observer Moment = Sigma1-Sentences

2007-09-13 Thread Bruno Marchal
Dear Günther, Le 12-sept.-07, à 16:49, Günther Greindl a écrit : > The problem is: in math what follows from the axioms is true per > definition (that is what following from the axioms mean). Not at all. If you were true, no inconsistent theory in math would appear. "Axioms" are just proviso

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Bruno Marchal
Le 13-sept.-07, à 00:48, Russell Standish a écrit : > These sorts of discussions "No-justification", "Zero-information > principle", "All of mathematics" and Hal Ruhl's dualling All and > Nothing (or should that be "duelling") are really just motivators for > getting at the ensemble, which turns

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Brent Meeker
Youness Ayaita wrote: > ... > I see two perfectly equivalent ways to define a property. This is > somehow analogous to the mathematical definition of a function f: Of > course, in order to practically decide which image f(x) is assigned to > a preimage x, we usually must know a formula first. But

Re: Rép : Observer Moment = Sigma1-Sentences

2007-09-13 Thread Brent Meeker
Bruno Marchal wrote: > ... > > I agree with this. You can rule out a theory when it leads to a > contradiction, but only *once* you get that contradiction. (A theory > can be contradictory without you ever knowing that fact). > A theory also can be contradicted by a fact. The theory need no

Re: Rép : Observer Moment = Sigma1-Sentences

2007-09-13 Thread Günther Greindl
Dear Bruno, >> The problem is: in math what follows from the axioms is true per >> definition (that is what following from the axioms mean). > > Not at all. If you were true, no inconsistent theory in math would > appear. You are right, my above sentence was too simple. New try: All sentence

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread 1Z
On 13 Sep, 12:47, Youness Ayaita <[EMAIL PROTECTED]> wrote: > On 13 Sep., 13:26, 1Z <[EMAIL PROTECTED]> wrote: > > > > > On 12 Sep, 01:50, Youness Ayaita <[EMAIL PROTECTED]> wrote: > > > > No(-)Justification Justifies The Everything Ensemble > > > The amazing result of these simple consideration

Re: Rép : Observer Moment = Sigma1-Sentences

2007-09-13 Thread John Mikes
Bruno, that was quite a response. Let me just include those part to which I have something to say - in most cases your 'half-agreement' cuts my guts. == "...I like very much David Deutsch's idea that if we are scientist we are in principle willing to know that our theory is wrong, but t

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Youness Ayaita
On 13 Sep., 19:44, Brent Meeker <[EMAIL PROTECTED]> wrote: > Youness Ayaita wrote: > > ... > > I see two perfectly equivalent ways to define a property. This is > > somehow analogous to the mathematical definition of a function f: Of > > course, in order to practically decide which image f(x) is a

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Russell Standish
On Thu, Sep 13, 2007 at 03:04:34PM +0200, Bruno Marchal wrote: > > > Le 13-sept.-07, à 00:48, Russell Standish a écrit : > > > These sorts of discussions "No-justification", "Zero-information > > principle", "All of mathematics" and Hal Ruhl's dualling All and > > Nothing (or should that be "du

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Youness Ayaita
I want to correct an error, the "1st idea" in my last reply was erroneous, since in the set {0,1}^P(T) one will find descriptions that do not belong to any imaginable thing t in T. Thus, it would not be possible to use the total set and the whole idea is rather useless. So, I restrict my argument

Re: No(-)Justification Justifies The Everything Ensemble

2007-09-13 Thread Brent Meeker
Youness Ayaita wrote: > I want to correct an error, the "1st idea" in my last reply was > erroneous, since in the set {0,1}^P(T) one will find descriptions that > do not belong to any imaginable thing t in T. Thus, it would not be > possible to use the total set and the whole idea is rather useles