Re: a possible paradox

From: Bruno Marchal <marchal.domain.name.hidden>
Date: Wed, 05 Nov 2003 12:18:36 +0100

I think that those who defends the ASSA, are unconsciously
working with the Aristotle/Leibniz S5 modal logic where
worlds/states/observer-moments are all accessible from
each other (or, it is equivalent, they are no accessible relation
playing any role in the semantics of the box).
The RSSA corresponds then to Kripkean/Lewisian modal logics.
With comp we get instead the couple of Solovay-Godel-Lob (Kripkean)
logics (G and G*), which makes the "everything" idea much
more fertile. In particular G and G* makes easy the translation
of the UD Argument into Arithmetic, and it gives an intuitionistic
(brouwerian) logic for the first person, and a quantum logic
for the first plural sharable (self) observation.

Bruno


At 13:24 04/11/03 +0100, "scerir" <scerir.domain.name.hidden> wrote:

>[me]
> > >Principles of World Theory say, more or less, that: [...]
>
>[Bruno]
> > Very nice. Except perhaps that it is the principle of the
> > Old World Theory, implicit in Aristotle
> > and Leibniz, where all the worlds are accessible from each other.
> > It is formalised by the modal logic S5. [...]
>
>I'll do my homework :-)
>I remember that, about 30 years ago, I was interested
>in modal-QM, intensional-QM, self-referential-QM.
>I realized that perhaps intensional-QM now is called
>contextual-QM and nobody (?) in the mean time studied
>self-referential issues of QM. Anyway I forgot all the
>technical means now, and I must do my homework :-)
>Regards,
>serafino
Received on Wed Nov 05 2003 - 13:04:17 PST

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