There is a new paper on Irreducible Complexity by renowned mathematician Gregory Chaitin: The Halting Probability Omega: Irreducible Complexity in Pure Mathematics Milan Journal of Mathematics, Vol. 75, 2007.
Ω is an extreme case of total lawlessness; in effect, it shows that God plays dice in pure mathematics.
On the surface Chaitin’s notion of Irreducible Complexity (IC) in math may seem totally irrelevant to Irreducible Complexity (IC) in ID literature. But let me argue that notion of IC in math relates to IC in physics which may point to some IC in biology…
First, of consider this article archived at Access Research Network (ARN) by George Johnson in the NY Times on IC in physics:
Challenging Particle Physics as Path to Truth
Many complex systems  the very ones the solid-staters study  appear to be irreducible.
The concept of “irreducible complexity” has been used by Alan Turing, Michael Behe, and perhaps now by physicists. Behe’s sense of irreducible is not too far from the sense of irreducible in the context of this physics. If biological systems take advantage of irreducible phenomena in physics (for example, what if we discover the brain uses irreducible physical phenomena ) we will have a strong proof by contradiction that there are no Darwinian pathways for biolgoical systems to incorporate that phenomena.
The possibility of IC in physics may be tied to IC in math and this may have relevance to IC in biology.
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