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On Tue, 28 Nov 2000 15:03:55 EST SteamDoc@aol.com writes:

*> in part:
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*> But let's get real. In the realm of science, you are talking about
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*> biology, the development of life, the physical parameters of the
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*> universe, and other areas that are quite complex and where many
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*> things are not fully understood. To claim that all possible
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*> theories are considered in these areas so as to prove something by
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*> process of elimination is preposterous.
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*>
*

Allan Harvey's reference to "all possible theories" brings up two

overwhelming problems. To go back to the turn of the century, a French

engineer, Koenig, proved that, for any desired motion, there are an

infinite number of mechanical models that will produce it. Poincare

called attention to it and noted that, for any set of data falling under

the least action principle, there are an infinite number of possible

theories. From this it follows that there are an infinite number of

logico-mathematical models for the biological data involved. Not until it

can be shown that human effort can run through an infinite number of

theories can the method of elimination be applied.

More recently, Goedel proved that there are true statements that cannot

be proved within a consistent formal system capable of dealing with

number theory. Church extended the proof to the lower functional

calculus. Therefore, any relevant logical constructions that refer to all

or some members of a class, will never be complete, and can never be

completed even if the set of axioms is increased infinitely.

Consequently, there can never be a total theory in any area of science.

ME is moot. It fits in with perpetual motion machines and levitation by

tugging on one's own boot straps.

There is, of course, one way to get a proof in spite of these problems,

appeal to consequentia mirabilis. Assume that you have all the theories,

add either Church or Poincare's proof, and deduce anything you want. From

a contradiction, anything is formally provable. So ME works perfectly

while at the same time it does not work at all. And Hinrichs both exists

now and never existed nor will exist. Inconsistency gives everything but

sense.

Dave

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