Dear Brent,

-----Original Message----- 
From: meekerdb 
Sent: Monday, May 16, 2011 1:40 PM 
Subject: Re: On the Sequencing of Observer Moments 

> On 5/16/2011 7:13 AM, Stephen Paul King wrote:
> > [SPK]
> >    I was trying to be sure that I took that involves the possibility 
> > that the OMs are computationally disjoint into account. This covers 
> > your example, I think...
> >
> >    I am wondering how they are "strung together", to use the analogy 
> > of putting beads on a string. My point is that we cannot appeal to a 
> > separate "dimension of time" to act as the sequencer of the OMs. So 
> > how do they get sequenced? How does the information (if I am allowed 
> > that term) of one OM get related to that of another?
> >
> > Onward!
> >
> > Stephen
> >

> I think they must be strung together by overlapping, since as 
> computations I don't think they correspond to atomic states of the 
> digital machine but rather to large sequences of computation (and in 
> Bruno's theory to equivalence classes of sequences).
> The other theory that Stathis is explicating takes OM's to be atomic and 
> discrete. In that case they would have to be strung together by some 
> internal reference, one to another.  I don't think that's a viable 
> theory since in order to make them atomic, they must have only small 
> amounts of information - when I have a thought it doesn't necessarily 
> include any memory of or reference to previous thoughts.  It is also 
> difficult to see how the empirical experience of time can be accounted 
> for in this theory.
> Brent


    It could be that Stathis' theory is using the notion of atomicity that is 
used in logics relating to formulas. It relates to the original Greek notion of 
an atom as "indivisible". Atomic logics can be considered as such that to add 
or subtract some part of them (prepositions and/or relations) would make them 
collapse. See: and in a wider 
context here: . I would like to 
see more of Stathis’ ideas.

    I am sanguine toward this idea as it would apply to OMs in the sense of 
inducing the stratifications that we see in terms of Bruno’s “substitution 
level” for a wider notion of machines – not just humans - and Russell’s idea 
that an OM has a minimum quantity of chance involved, like a result of constant 
of action of sorts. The Yes Doctor thesis of digital substitution would apply 
to planetary and even galactic sized sentient entities if it applies to amoeba 
and humans! (I only worry that Bruno is too easily dismissing the implications 
of quantum entanglement and the canonical conjugacy of observables.)

    Complete atomic Boolean algebras are part of these explorations. For 
instance see:
 and . I am 
interested in more general logics (where the truth values can range over the 
complex numbers instead of just those that have binary ({0,1} valuations) and 
their topological Stone duals and considerations of if and how they can be 
considered as dynamic (instead of just static a priori given structures). Thus 
my questions about how OMs are sequenced. It is part of the idea that I am 
exploring using the Stone duality  (similar to line discussed here ) to rehabilitate Cartesian dualism 
as first proposed by Vaughan Pratt since it has become obvious to me that 
monist ontologies have severe problems. 

    It could be that considerations of OMs as defined in terms of equivalence 
classes of computational sequences or as atomic formulas or algebras are 
consistent with each other, just different semantical methods of addressing the 
same idea. We run into difficulties in these discussion because we can easily 
mix metaphors when translating between technical discussions of the formal 
mathematics and our personal folk theologies about our experiences and 
interpretations of the mathematics. I am often guilty of this metaphor mixing 
and appreciate error correction when needed. ;-)



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