Jeff Shallit — leveling the charge of incompetence incompetently
Jeff Shallit charges Jonathan Wells with incompetence for claiming that duplicating a gene does not increase the available genetic information. To justify this charge, Shallit notes that a symbol string X has strictly less Kolmogorov information than the symbol string XX. Shallit, as a computational number theorist, seems stuck on a single definition of information. Fine, Kolmogorov’s theory implies that duplication leads to a (slight) increase in information. But there are lots and lots of other definitions of information out there. There’s Fisher information. There’s Shannon information. There’s Jack Szostak’s functional information. Information, when quantified, typically takes the form of a complexity measure. Seth Lloyd has catalogued numerous different types of complexity measures used by mathematicians, engineers, and scientists. Here Read More ›