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Although the more recent STURP proposal has not yet been published, there is reason (discussed below) to suspect that it likewise has not been researched to the degree warranted by the object to be dated, and that significant input from a range of scholars is lacking.
Much worse, the 1979 proposal involved a small sample of cloth removed from the Shroud in 1973 for study by Prof. Mc Crone and Sox had inspected the sample (apparently unstitched by Raes into two pieces) during a visit with Raes in 1976, and found that "the samples were kept in what looked like an old scrapbook for postage stamps" (Sox: 19).In the Shroud literature, a similar absolute belief in the method is found among most writers.Wilson, for example, states (194) that a dating accurate to a plus-minus of 100 years is possible thus "enabling the settling, once and for all, of the question of whether or not the Shroud is a 14th century forgery." Sox (192) follows Wilson in thinking that C-14 dating the Shroud could "remove it once and for all from the Middle Ages, or place it squarely there for all time." Some STURP scientists unfortunately display similar beliefs.The first proposal to date the Shroud was submitted in 1979 by Gove and Harbottle (published in Sox 191-167).It was, in my opinion, seriously flawed by the lack of consultation with archaeologists and experts from other fields.
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However, I doubt that anyone with significant experience in the dating of excavated samples would dismiss for one moment the potential danger of contamination and other sources of error.