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Similar Patterns

The argument consists of two parts:
(1) ELSs of any given word that can be found in the Torah text can be found in any long enough text;
(2) Any compact meeting of ELSs found in the Torah text can be found in any long enough text.

We are used to reading a text letter by letter, word by word. So we are not intuitively prepared to expect that by skipping letters words can be constructed. Therefore, when we learn that in fact ELSs of any given word can be found in any long enough text, we might be ready to dismiss out of hand any Torah code effect. Indeed in any language in any sufficiently long novel, we will find even many ELSs of any given word. And the ELSs that are found in the Torah text, follow for the most part, what one would expect to find statistically. The part of the argument is factually correct.

As it is stated, the second part of the argument is also factually correct. If for any given pair of words, one can find many ELSs of the words in a long enough text, then among the ELSs present, there will be some ELSs pairs whose skips are resonant and which are close enough together that one can put them on a resonant cylinder and find a window that shows a close meeting between the two ELSs.

The problem here is that the statement is misleading in that the ELSs discussed and the compact meeting that is discussed are not qualified. According to the Torah code hypothesis, the ELSs involved must be low skip rank ELSs and the compact meeting is evaluated as relative. Low skip rank means that the number of ELSs found in the text having smaller absolute skip must be small, like around 10. Relatively compact meeting means that in a suitably defined monkey text population, the fraction of texts that have smaller tables is a small fraction, like around 1/100. Relatively compact does not mean in a table of say 100 entries, unless the fraction of texts in the monkey text population that have tables of low skip rank ELSs of the key words that are no bigger than 100 entries is 1/100 or smaller.

When these qualifications are in place, the statement of Professor Simon: "Any text of similar size will have similar clusters of words to those found in the Torah." and the statement of Professor Sternberg: "... hidden messages similar to those of ... Rips and Witztum can be produced in any sufficiently long actual text, and have in fact been produced." will be found to be incorrect.

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