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Dembski's critics note that specified complexity, as originally defined by Leslie Orgel, is precisely what Darwinian evolution is supposed to create. Critics maintain that Dembski uses "complex" as most people would use "absurdly improbable". They also claim that his argument is [[circular reasoning|circular]]: CSI cannot occur naturally because Dembski has defined it thus. They argue that to successfully demonstrate the existence of CSI, it would be necessary to show that some biological feature undoubtedly has an extremely low probability of occurring by any natural means whatsoever, something which Dembski and others have almost never attempted to do. Such calculations depend on the accurate assessment of numerous contributing probabilities, the determination of which is often necessarily subjective. Hence, CSI can at most provide a "very high probability", but not absolute certainty.
 
Another criticism refers to the problem of "arbitrary but specific outcomes". For example, if a coin is tossed randomly 1000 times, the probability of any particular outcome occurring is roughly one in 10<sup>300</sup>. For any particular specific outcome of the coin-tossing process, the ''a priori'' probability (probability measured before event happens) that this pattern occurred is thus one in 10<sup>300</sup>, which is astronomically smaller than Dembski's universal probability bound of one in 10<sup>150</sup>. Yet we know that the ''post hoc'' probability (probabilitlyprobability as observed after event occurs) of its happening is exactly one, since we observed it happening. This is similar to the observation that it is unlikely that any given person will win a lottery, but, eventually, a lottery will have a winner; to argue that it is very unlikely that any one player would win is not the same as proving that there is the same chance that no one will win. Similarly, it has been argued that "a space of possibilities is merely being explored, and we, as pattern-seeking animals, are merely imposing patterns, and therefore targets, after the fact."<ref name="arn.org"/>
 
Apart from such theoretical considerations, critics cite reports of evidence of the kind of evolutionary "spontanteous generation" that Dembski claims is too improbable to occur naturally. For example, in 1982, B.G. Hall published research demonstrating that after removing a gene that allows sugar digestion in certain bacteria, those bacteria, when grown in media rich in sugar, rapidly evolve new sugar-digesting enzymes to replace those removed.<ref>B.G. Hall (1982). "Evolution of a regulated operon in the laboratory", ''[[Genetics (journal)|Genetics]]'', 101(3-4):335-44. [https://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=pubmed&dopt=Abstract&list_uids=6816666&query_hl=1 In PubMed.]</ref> Another widely cited example is the discovery of [[nylon eating bacteria]] that produce enzymes only useful for digesting synthetic materials that did not exist prior to the invention of [[nylon]] in 1935.
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* [https://schneider.ncifcrf.gov/paper/ev/dembski/specified.complexity.html Dissecting Dembski's "Complex Specified Information"] {{Webarchive|url=https://web.archive.org/web/20170317075913/https://schneider.ncifcrf.gov/paper/ev/dembski/specified.complexity.html |date=2017-03-17 }} by Thomas D. Schneider.
* [http://www.talkreason.org/articles/jello.cfm William Dembski's treatment of the No Free Lunch theorems is written in jello] by No Free Lunch theorems co-founder, [[David Wolpert]]
* [httphttps://evolutionlist.blogspot.com/2006/05/genetic-id-and-explanatory-filter.html The Evolution List - Genetic ID and the Explanatory Filter] by Allen MacNeill.
* [http://www.designinference.com/ Design Inference Website] - The writing of William A. Dembski
* [https://web.archive.org/web/20080313093300/http://csicop.org/sb/2000-12/reality-check.html Committee for Skeptical Inquiry - Reality Check, The Emperor's New Designer Clothes] - [[Victor J. Stenger]]