Check out the following paper at arXiv. It gives yet another incarnation of Dawkins’ WEASEL. Let me suggest that Darwinists next try a horror version of it: “The WEASEL That Wouldn’t Die.” Perhaps Michael Moore can help make it.
There’s plenty of time for evolution
Herbert S. Wilf
Department of Mathematics, University of Pennsylvania
Philadelphia, PA 19104-6395
wilf@math.upenn.edu>Warren J. Ewens
Department of Biology, University of Pennsylvania
Philadelphia, PA 19104-6018
wewens@sas.upenn.edu>October 28, 2010
Abstract: Objections to Darwinian evolution are often based on the time required to carry out the necessary mutations. Seemingly, exponential numbers of mutations are needed. We show that such estimates ignore the effects of natural selection, and that the numbers of necessary mutations are thereby reduced to about K log L, rather than KL, where L is the length of the genomic “word,” and K is the number of possible “letters” that can occupy any position in the word. The required theory makes contact with the theory of radix-exchange sorting in theoretical computer science, and the asymptotic analysis of certain sums that occur there.