> Lee Corbin wrote .....
> because of the way that our lives, as well as so many other physical
> phenomena, exhibit features not found in differential equations.
Karl Svozil wrote [in Randomness and Undecidability in Physics, World
Scientific publ., Singapore, 1993] that:
"chaos in physics corresponds to randomness in mathematics,
and randomness in physics may correspond to uncomputability
in mathematics".
And the reason may be found: a random sequence cannot be computed;
it is only possible to approximate it (sometimes very crudely).
C. Calude, D. I. Campbell, K. Svozil, D. Stefanecu
Strong Determinism vs. Computability
http://arxiv.org/abs/quant-ph/9412004
Are minds subject to laws of physics?
Are the laws of physics computable?
Are conscious thought processes computable?
Currently there is little agreement as to what are the right answers to these
questions. Penrose goes one step further and asserts that: "a radical new
theory is indeed needed, and I am suggesting, moreover, that this theory,
when it is found, will be of an essentially non-computational character.".
The aim of this paper is three fold: 1) to examine the incompatibility between
the hypothesis of strong determinism and computability, 2) to give new
examples of uncomputable physical laws, and 3) to discuss the relevance
of Goedel's Incompleteness Theorem in refuting the claim that an algorithmic
theory---like strong AI---can provide an adequate theory of mind. Finally, we
question the adequacy of the theory of computation to discuss physical laws
and thought processes.
btw: somebody (but he is a very smart guy) thinks that the all world can be made
of electric circuits .... http://www.xs4all.nl/~westy31/Electric.html#Maxwell
- S.
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