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To: Matchett-PI; Alamo-Girl; BrandtMichaels; allmendream; xzins
[We wish] to have a maximum of completeness and consistency — at least as much as Gödel will allow. Which is a lot, once you accept the implications of his theorems, one of which is that truth is prior to our fragmentary logical "proofs" of it.

The truly beautiful thing about Gagdad Bob (to me at least) is the sheer "expansiveness" of his soul, in the same manner as Aristotle's, who famously postulated that "All men desire to know."

Yet it seems — as it turns out — that not all men do actually desire to know — "knowing" here understood as human cognitive and existential recognition of and response to the divine ldea (Logos) that underlies the One unified All of cosmic existence, including one's Self.

Probably few people are engaged at this level of the problem, which is an "equal opportunity" problem in the sense that the answer to it confronts all of us humans "equally" in the end....

Arguably we, made in the Image, were intended to be "better" than that basic level of cognitive functioning....

I'm so glad to hear Gödel's name come up on this question. A genius of mathematics, it was he who first pointed out that there really are absolute limits to mathematical models of the world, of Reality. He proposed, in effect, that all human spacetime modelings of the universe are "incomplete" in principle.

In this sense, Gödel was evidently opposed to the view of Baron Laplace, who proposed that, supposing that all knowledge of existent things and the rules that govern them were instantly knowable, present to the mind, then that mind could know "everything," and so reliably "predict" the "future."

To which Gödel might possibly have replied: That's one-helluva 'what-if'!!!" On purely logical grounds. Yikes. Whatta nightmare!!! Only an insane person could propose such a thing, and make it "normative" as the basic reality in which sane human beings actually have to live!

And so here we are: In the Public Square, exercising our First Amendment Rights.

But to what purpose? If We the People can't agree about that, then we are effectively doomed.

Thank you ever so much, dear Matchett-PI, for the absolutely splendid tutorial you offer on this subject matter! And a definite hat-tip to the remarkable Gagdad Bob, a/k/a/, Dr. Robert Godwin, clinical psychologist and philosopher.

408 posted on 12/13/2011 12:20:10 PM PST by betty boop (We are led to believe a lie when we see with, and not through, the eye. — William Blake)
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To: betty boop; Alamo-Girl; BrandtMichaels; allmendream; xzins

Thank you! I agree.

Re Laplace - you wrote:

“I’m so glad to hear Gödel’s name come up on this question. A genius of mathematics, it was he who first pointed out that there really are absolute limits to mathematical models of the world, of Reality. He proposed, in effect, that all human spacetime modelings of the universe are “incomplete” in principle.

“In this sense, Gödel was evidently opposed to the view of Baron Laplace, who proposed that, supposing that all knowledge of existent things and the rules that govern them were instantly knowable, present to the mind, then that mind could know “everything,” and so reliably “predict” the “future.”

“To which Gödel might possibly have replied: That’s one-helluva ‘what-if’!!!” On purely logical grounds. Yikes. Whatta nightmare!!! Only an insane person could propose such a thing, and make it “normative” as the basic reality in which sane human beings actually have to live! ...”

See what you think of this exchange:

From: Merv
To: George Murphy
Sent: Monday, June 04, 2007
Subject: Re: Cosmos in the Light of the Cross

This is addressed to George since I’ve been corresponding with him about his book “Cosmos in the Light of the Cross”, but I’m running this particular question of mine on the list because I covet any insights which any scientifically minded folks can enlighten me with.

A long-standing physics inquiry of mine summarized by your statement from p. 52: “This uncertainty principle cuts down Laplace’s determinism at the roots.”

On p. 65 you exactly nail my hang-up with this when you state: “We may argue that an electron really has a precise position and momentum even if we cannot know them, ...” and you go on to answer that objection, in part, concluding that “Quantum mechanics does not say that there is no external reality at all, but that that reality is not strictly separated from our consciousness.”

I have nearly despaired of grasping these conclusions and how they deal the supposed “death blow” to Laplace’s demon. While I can appreciate (without even understanding) that scientific verification exists for the proposition that our mere observation affects reality (and apparently in a far deeper way than its merely being altered by the presence of our physical measurement tools – which is easily understood and conceptually dealt with), I still cannot see the definitive conclusion that you and all modern physicists so easily adopt. It looks to me like just a more sophisticated and impenetrable “God of the gaps” wall than ever. Only this could be called “science of the gaps”. We can’t find something out, and our consciousness is even inextricably intertwined in it. Therefore we declare it to not have any objective reality at all (even in principle).

Chaos theory pulls a similar trick for mathematics. Since error amplification makes sensitivity to initial conditions virtually infinite, and we can’t be infinitely precise in describing an initial state: we can solidly conclude there can never be an exact weather prediction – a well-founded conclusion.

But then comes the maddening next (and IMO totally unfounded) additional conclusion: “...so a future state of weather can’t have been exactly determined by a prior state, even in principle. Chaos and QM teamed up.

It may be true, but there is a scent of arrogance in declaring it true, when it actually seems unknowable whether or not determinism is really correct behind those locked doors.

Here is one scenario easy to imagine: People for years tend to give God praise more easily when the complexity of something reaches beyond their horizons or capacity to understand. We easily said “God is great – look how far beyond us He is!” Then science enters the world making huge conquests. Formerly unreachable horizons are now suddenly “conquered territory”, and the “God of the gaps” inclination is now revealed as a dangerous way to do theology.

So we Christians seem to have had two responses:

1. backup and declare that God is present in all processes whether we understand them or not (which was always correct and is very Biblical anyway).

Or 2. Let’s find an apparently “unscalable” wall (QM with its inherent uncertainty in nature, and Chaos theory with its corresponding defeat of mathematics) and erect our new flag there in confidence that NOW – finally science and math have reached their limits. And we can rest up against that last refuge glorying in the many ways which God can now work such mischief as free-will, consciousness, miracles... etc. safely beyond the reach of empirical science.

The main thrust of your writing is to show that a “hidden” God in nature is not inconsistent with a God who is willing to die as a forsaken “nobody” on the cross.

Shouldn’t this “hiddenness” be just as applicable to a Laplacian ‘billiard ball’ universe as the QM ‘mischief behind locked doors’ universe? I can understand our religious preference for the second and our universal aversion for the first, but that doesn’t mean the Laplacian understanding couldn’t be true. Why & how are scientists so sure they have defeated this demon?

—Merv

<>

Merv -

There are, of course, different interpretations of QM & the uncertainty principle. I think there is good reason to take the strong view that position & momentum really do not and cannot have precise values simultaneously, & not just the weaker view that they do have such values but that we can’t know them. This is seen clearly in the mathematical formalism in which position & momentum (& other dynamical variables) can represented by matrices - whole arrays of numbers - rather than single numerical values. (In older language, q numbers rather than c numbers.) That being the case, the initial data required for Laplacian determinism don’t exist.

The connection between this microscopic indeterminism and the macroscopic variety with chaos theory is a little tricky but I think that the QM variety rules out the absolutely precise initial data which chaos theory says would be necessary for long range forecasting in principle.

This indeterminism is not required to allow God to act in a hidden way in the world.

A strictly Laplacian view does not rule out ongoing divine action. But with such a view one would have to say that God’s ordinary action in the world is completely predictable (because the physical processes with which God cooperated were completely deterministic), and that any positive responses to prayers for rain, e.g., when the mechanistic laws of physics didn’t predict rain would have to be strictly miraculous interventions.

What the breakdown of detrminism allows is not divine action itself but divine action which has some freedom and is still in accord with the laws of physics, & is thus still in a sense hidden.

Shalom
George Murphy

Web site:
http://web.raex.com/~gmurphy/


409 posted on 12/13/2011 6:44:33 PM PST by Matchett-PI ("One party will generally represent the envied, the other the envious. Guess which ones." ~GagdadBob)
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To: betty boop
Yet it seems — as it turns out — that not all men do actually desire to know — "knowing" here understood as human cognitive and existential recognition of and response to the divine ldea (Logos) that underlies the One unified All of cosmic existence, including one's Self.

Precisely so and very sad because this knowledge is vital.

Thank you for sharing your insights, dearest sister in Christ!

410 posted on 12/13/2011 9:34:48 PM PST by Alamo-Girl
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