Tom Caylor wrote:
> Tom Caylor wrote:
> > Brent Meeker wrote:
> > > Tom Caylor wrote:
> > > > Bruno has tried to introduce us before to the concept of universes or
> > > > worlds made from logic, bottom up (a la constructing elephants). These
> > > > universes can be consistent or inconsistent.
> > > >
> > > > But approaching it from the empirical side (top down rather bottom up),
> > > > here is an example of a consistent structure: I think you assume that
> > > > you as a person are a structure, or that you can assume that
> > > > temporarily for the purpose of argument. You as a person can be
> > > > consistent in what you say, can you not? Given certain assumptions
> > > > (axioms) and inference rules you can be consistent or inconsistent in
> > > > what you say.
> > >
> > > Depending on your definition of consistent and inconsistent, there need not be any axioms or inference rules at all. If I say "I'm married and I'm not married." then I've said something inconsistent - regardless of axioms or rules. But *I'm* not inconsistent - just what I've said is.
> > >
> > > > I'm not saying the what you say is all there is to who
> > > > you are. Actually this illustrates what I was saying before about the
> > > > need for a "reference frame" to talk about consistency, e.g. "what you
> > > > say, given your currently held axioms and rules".
> > >
> > > If you have axioms and rules and you can infer "X and not-X" then the axioms+rules are inconsistent - but so what? Nothing of import about the universe follows.
> > >
> >
> > Yes, but if you see that one set of axioms/rules is inconsistent with
> > another set of axioms/rules, then you can deduce something about the
> > possible configurations of the universe, but only if you assume that
> > the universe is consistent (which you apparently are calling a category
> > error). A case in point is Euclid's fifth postulate in fact. By
> > observing that Euclidean geometry is inconsistent with non-Euclidean
> > geometry (the word "observe" here is not a pun or even a metaphor!),
> > you can conclude that the local geometry of the universe should follow
> > one or the other of these geometries. This is exactly the reasoning
> > they are using in analyzing the WIMP observations. Time and again in
> > history, math has been the guide for what to look for in the universe.
> > Not just provability (as Bruno pointed out) inside one set of
> > axioms/rules (paradigm), but the most powerful tool is generating
> > multiple consistent paradigms, and playing them against one another,
> > and against the observed structure of the universe.
> >
> > On the other hand, I think that the real proof of the pudding of
> > Bruno's approach would be, not does his approach agree with empirical
> > evidence at the quantum/atomic level, but does it agree at the global
> > level,
>
> I should say that agreement at the quantum level is needed too, but
> also agreement at the global level.
>
> Tom
>
> > e.g. by make correct predictions about the spacial curvature,
> > compactness, finitude/infinitude, connectedness, etc. of the observed
> > universe. Of course the quantum vs. global agreement would be the real
> > "proof" of any TOE.
> >
> > Tom
> >
I should also say that I will be too busy to post the next several
days.
Too busy pushing the proverbial mop, getting paid for logical
inference.
Tom
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Received on Fri Oct 27 2006 - 13:26:31 PDT