On 02 Jul 2011, at 22:05, Stephen Paul King wrote:
From: Bruno Marchal
Sent: Saturday, July 02, 2011 3:24 PM
Subject: Re: Is consciousness causally effective ?
On 02 Jul 2011, at 16:53, Stephen Paul King wrote:
Could you elaborate a bit more on the part where you say
"...self-speeding up abilities to the machine with respect to the
most probable continuation/universal-machine"? What defines the
The universal dovetailing, or equivalently the true sigma_ sentences
and their proofs, and relative proof. This follows from the UD
The logic of "probability one" can already be characterized by the
logic of the "arithmetical quantization" BDp with p a Sigma_1
propositions. It gives an arithmetical non boolean sort of quantum
logic.I think that if you search on the name of "Goldblatt" in the
archive you might find longer explanation that I have already given
to you on this, if I remember well.
I am just translating a problem in philosophy/theology into a
problem in math by using the comp hypothesis to justify the use of
computer science and mathematical logic.
I have taken a look at the Steve Vickers slides you pointed too. It
is rather complex and does not seem related to comp in an easy way.
It it can be related at all, it has to be related through the S4Grz1
("universal soul, the "pure" first person") and X1* ("universal
feeler") arithmetical points of view.
OK. I was just wanting to be clear in my understanding. I am
studying Vickers’ book and several other that you recommended. Thank
you for your quick reply.
One other question: could you say that X1* is like a universal
attributor, in the sense of assignation or defining all maps of 1p
“feelings” to 3p ....?
My option is to introduce as few new vocabulary as possible. In the
interdisciplinary field, we have to use the term on which the majority
in each field are accustom to, when possible (some terms, like 'model'
are used by different field with different meaning, so it is not
X1* is just a precise modal logic which provably axiomatizes what is
true about the machine observable/feelable (Bp & Dt & p) from the
states accessed by the universal dovetailing. Topologies and algebra
have to be related to reasonable semantics for the logic. It is the
logic suggested by the Löbian machine for the qualia (including the
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