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The Bible code (, ), also known as the Torah code, is a purported set of
encoded In communications and information processing, code is a system of rules to convert information—such as a letter, word, sound, image, or gesture—into another form, sometimes shortened or secret, for communication through a communication ...
words within a Hebrew text of the
Torah The Torah ( , "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. The Torah is also known as the Pentateuch () ...
that, according to proponents, has predicted significant historical events. The statistical likelihood of the Bible code arising by chance has been thoroughly researched, and it is now widely considered to be
statistically insignificant In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis were true. More precisely, a study's defined significance level, denoted by \alpha, is the ...
, as similar phenomena can be observed in any sufficiently lengthy text. Although Bible codes have been postulated and studied for centuries, the subject has been popularized in modern times by Michael Drosnin's book '' The Bible Code'' (1997) and the movie '' The Omega Code'' (1999). Some tests purportedly showing statistically significant codes in the Bible were published as a "challenging puzzle" in a peer-reviewed academic journal in 1994, which was pronounced "solved" in a subsequent 1999 paper published in the same journal.


Overview

Discussion around one specific
steganographic Steganography ( ) is the practice of representing information within another message or physical object, in such a manner that the presence of the concealed information would not be evident to an unsuspecting person's examination. In computing/ ...
method became widespread in 1994 when Doron Witztum,
Eliyahu Rips Eliyahu Rips (; ; ; 12 December 1948 – 19 July 2024) was an Israeli mathematician of Latvian origin known for his research in geometric group theory. He became known to the general public following his co-authoring a paper on what is popularl ...
and Yoav Rosenberg published a paper, "Equidistant Letter Sequences in the Book of Genesis", in the scientific journal ''
Statistical Science ''Statistical Science'' is a review journal published by the Institute of Mathematical Statistics. The founding editor was Morris H. DeGroot, who explained the mission of the journal in his 1986 editorial: "A central purpose of ''Statistical Sci ...
''. The paper, which was presented by the journal as a "challenging puzzle", presented what appeared to be strong statistical evidence that biographical information about famous rabbis was encoded in the text of the Book of Genesis, centuries before those rabbis lived.


Equidistant letter sequence method

The primary method by which purportedly meaningful messages have been extracted is the ''Equidistant Letter Sequence'' (ELS), also referred to as (, ). Letters are selected based on a starting point and counting every nth letter based on a given 'skip number' in a given direction. For example, taking every fourth letter in the phrase "his entnce its n EL", when read backwards and ignoring spaces, derives the word 'Safest'. In some cases, multiple terms may be derived from an 'ELS letter array' (text in a grid, with the same number of letters in each line). In the example provided, part of the
King James Version The King James Version (KJV), also the King James Bible (KJB) and the Authorized Version (AV), is an Early Modern English Bible translations, Early Modern English translation of the Christianity, Christian Bible for the Church of England, wh ...
's rendering of
Genesis Genesis may refer to: Religion * Book of Genesis, the first book of the biblical scriptures of both Judaism and Christianity, describing the creation of the Earth and of humankind * Genesis creation narrative, the first several chapters of the Bo ...
(26:5–10) is shown with 21 letters per line, showing ELSs for "Bible" and "code".


Extensions

Once a specific word has been found using the ELS method, other words are sought based on the same letter spacing. Code proponents Haralick and Rips have published an example of a longer, extended ELS, which reads, "Destruction I will call you; cursed is Bin Laden and revenge is to the Messiah". Proponents claim that such ELS extensions that form phrases or sentences have statistical significance, maintaining that the longer the extended ELS, the less likely it is to be the result of chance. Critics reply, as in the ''
Skeptical Inquirer ''Skeptical Inquirer'' (S.I.) is a bimonthly American general-audience magazine published by the Committee for Skeptical Inquiry (CSI) with the subtitle "The Magazine for Science and Reason". The magazine initially focused on investigating clai ...
'' deconstruction of 1997, that the longer ELS is in fact effectively nothing more than further increased number of permutations, employing a massive application of the look-elsewhere effect.


History


Early history

The 13th-century Spanish
rabbi A rabbi (; ) is a spiritual leader or religious teacher in Judaism. One becomes a rabbi by being ordained by another rabbi—known as ''semikha''—following a course of study of Jewish history and texts such as the Talmud. The basic form of t ...
Bachya ben Asher described an ELS in the Bible. His four-letter example related to the traditional zero-point of the
Hebrew calendar The Hebrew calendar (), also called the Jewish calendar, is a lunisolar calendar used today for Jewish religious observance and as an official calendar of Israel. It determines the dates of Jewish holidays and other rituals, such as '' yahrze ...
. Over the following centuries there are hints that the ELS technique was known, e.g. in Pardes Rimonim of the 16th century mystic
Moshe Cordovero Moses ben Jacob Cordovero ( ''Moshe Kordovero'' ‎; 1522–1570) was a central figure in the historical development of Kabbalah, leader of a mystical school in the Ottoman Empire in 16th-century Safed, located in the modern State of Israel. H ...
. In the 20th century, many examples were found by Michael Ber Weissmandl and published by his students after his death in 1957. In the 1980s, some discoveries of Israeli school teacher Avraham Oren came to the attention of the mathematician
Eliyahu Rips Eliyahu Rips (; ; ; 12 December 1948 – 19 July 2024) was an Israeli mathematician of Latvian origin known for his research in geometric group theory. He became known to the general public following his co-authoring a paper on what is popularl ...
at the
Hebrew University The Hebrew University of Jerusalem (HUJI; ) is an Israeli public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. It is the second-ol ...
of Jerusalem. Rips then took up the study together with his religious studies partners Doron Witztum and Alexander Rotenberg, among several others.


Rips and Witztum

Rips and Witztum and Yoav Rosenberg designed computer software for the ELS technique and subsequently found many examples. About 1985, they decided to carry out a formal test, and the "Great rabbis experiment" was born. This experiment tested the hypothesis that ELS's of the names of famous rabbinic personalities and their respective birth and death dates form a more compact arrangement than could be explained by chance. Their definition of "compact" was complex but, roughly, two ELSs were compactly arranged if they can be displayed together in a small window. When Rips ''et al.'' carried out the experiment, the data was measured and found to be statistically significant, supporting their hypothesis. The "great rabbis experiment" went through several iterations, and was eventually published in 1994, in the
peer-reviewed journal An academic journal (or scholarly journal or scientific journal) is a periodical publication in which scholarship relating to a particular academic discipline is published. They serve as permanent and transparent forums for the dissemination, scr ...
''Statistical Science''. The editorial board was highly skeptical due to the fact that computers can be used to "mine" data for patterns that intuitively seem surprising but upon careful analysis are found to be statistically insignificant. While they did find a number of possible sources of error, they were unable to find anyone willing to put in the substantial time and energy required to properly reanalyze the data. However, they did find it intriguing, and therefore decided to offer it as a "challenging puzzle" for anyone interested in doing so. An unintended result of this was that outsiders mistook this as a confirmation of the paper's claims.


Other experiments

Another experiment, in which the names of the famous rabbis were matched against the places of their births and deaths (rather than the dates), was conducted in 1997 by Harold Gans, former Senior
Cryptologic Cryptologic Limited was a Dublin, Ireland-based software application service provider (formerly Toronto, Ontario, Canada), one of the oldest established in the online gambling industry. It was acquired by the Amaya Gaming Group in 2012 and has sin ...
Mathematician for the United States
National Security Agency The National Security Agency (NSA) is an intelligence agency of the United States Department of Defense, under the authority of the director of national intelligence (DNI). The NSA is responsible for global monitoring, collection, and proces ...
. Again, the results were interpreted as being meaningful and thus suggestive of a more than chance result. These Bible codes became known to the public primarily due to the American journalist Michael Drosnin, whose book '' The Bible Code'' (1997) was a best-seller in many countries. Rips issued a public statement that he did not support Drosnin's work or conclusions; even Gans has stated that, although the book says the codes in the Torah can be used to predict future events, "This is absolutely unfounded. There is no scientific or mathematical basis for such a statement, and the reasoning used to come to such a conclusion in the book is logically flawed." In 2002, Drosnin published a second book on the same subject, called ''Bible Code II: the Countdown''. The Jewish outreach group Aish HaTorah employs Bible codes in their Discovery Seminars to persuade secular Jews of the divinity of the Torah, and to encourage them to trust in traditional Orthodox Jewish teachings. Use of Bible code techniques also spread into certain Christian circles, especially in the
United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
. The main early proponents were Yakov Rambsel, who is a Messianic Jew, and
Grant Jeffrey Grant Reid Jeffrey (October 5, 1948 – May 11, 2012) was a Canadian Bible teacher of Bible prophecy/eschatology and biblical archaeology and a proponent of dispensational evangelical Christianity. Jeffrey served as the chairman of Frontier Rese ...
. Another Bible code technique was developed in 1997 by Dean Coombs (also Christian). Various
pictograms A pictogram (also pictogramme, pictograph, or simply picto) is a graphical symbol that conveys meaning through its visual resemblance to a physical object. Pictograms are used in systems of writing and visual communication. A pictography is a wri ...
are claimed to be formed by words and sentences using ELS. Since 2000, physicist Nathan Jacobi, an agnostic Jew, and engineer Moshe Aharon Shak, an orthodox Jew, claim to have discovered hundreds of examples of lengthy, extended ELSs. The number of extended ELSs at various lengths is compared with those expected from a non-encoded text, as determined by a formula from
Markov chain In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally ...
theory.


Criticism

The precise order of consonantal letters represented in the Hebrew
Masoretic Text The Masoretic Text (MT or 𝕸; ) is the authoritative Hebrew and Aramaic text of the 24 books of the Hebrew Bible (''Tanakh'') in Rabbinic Judaism. The Masoretic Text defines the Jewish canon and its precise letter-text, with its vocaliz ...
is not consistent across manuscripts in any period. It is known from earlier versions, such as the
Dead Sea Scrolls The Dead Sea Scrolls, also called the Qumran Caves Scrolls, are a set of List of Hebrew Bible manuscripts, ancient Jewish manuscripts from the Second Temple period (516 BCE – 70 CE). They were discovered over a period of ten years, between ...
, that the number of letters was not constant even in the first centuries CE. The Bible code theory thus does not seem to account for these variations.


Criticism of the original paper

In 1999, Australian mathematician Brendan McKay, Israeli mathematicians Dror Bar-Natan and Gil Kalai, and Israeli psychologist
Maya Bar-Hillel Maya Bar-Hillel (; born 1943) is a professor emeritus of psychology at the Hebrew University of Jerusalem. Known for her work on inaccuracies in human reasoning about probability, she has also studied decision theory in connection with Newcomb's ...
(collectively known as "MBBK") published a paper in ''
Statistical Science ''Statistical Science'' is a review journal published by the Institute of Mathematical Statistics. The founding editor was Morris H. DeGroot, who explained the mission of the journal in his 1986 editorial: "A central purpose of ''Statistical Sci ...
'', in which they argued that the case of Witztum, Rips and Rosenberg (WRR) was "fatally defective, and that their result merely reflects on the choices made in designing their experiment and collecting the data for it." The MBBK paper was reviewed anonymously by four professional statisticians prior to publication. In the introduction to the paper, Robert Kass, the Editor of the Journal who previously had described the WRR paper as a "challenging puzzle" wrote that "considering the work of McKay, Bar-Natan, Kalai and Bar-Hillel as a whole it indeed appears, as they conclude, that the puzzle has been solved". From their observations, MBBK created an
alternative hypothesis In statistical hypothesis testing, the alternative hypothesis is one of the proposed propositions in the hypothesis test. In general the goal of hypothesis test is to demonstrate that in the given condition, there is sufficient evidence supporting ...
to explain the "puzzle" of how the codes were discovered. MBBK's argument was not strictly mathematical, rather it asserted that the WRR authors and contributors had intentionally: # Selected the names and/or dates in advance, and; # Designed their experiments to match their selection, thereby achieving their "desired" result. The MBBK paper argued that the ELS experiment is extraordinarily sensitive to very small changes in the spellings of appellations, and the WRR result "merely reflects on the choices made in designing their experiment and collecting the data for it." The MBBK paper demonstrated that this "tuning", when combined with what MBBK asserted was available "wiggle" room, was capable of generating a result similar to WRR's Genesis result in a Hebrew translation of ''
War and Peace ''War and Peace'' (; pre-reform Russian: ; ) is a literary work by the Russian author Leo Tolstoy. Set during the Napoleonic Wars, the work comprises both a fictional narrative and chapters in which Tolstoy discusses history and philosophy. An ...
''. Bar-Hillel subsequently summarized the MBBK view that the WRR paper was a hoax, an intentionally and carefully designed "magic trick".


Replies to MBBK's criticisms


Harold Gans

Harold Gans, a former
cryptanalyst Cryptanalysis (from the Greek ''kryptós'', "hidden", and ''analýein'', "to analyze") refers to the process of analyzing information systems in order to understand hidden aspects of the systems. Cryptanalysis is used to breach cryptographic se ...
at the
National Security Agency The National Security Agency (NSA) is an intelligence agency of the United States Department of Defense, under the authority of the director of national intelligence (DNI). The NSA is responsible for global monitoring, collection, and proces ...
, argued that MBBK's hypothesis implies a conspiracy between WRR and their co-contributors to fraudulently tune the appellations in advance. Gans argues that the conspiracy must include Doron Witztum, Eliyahu Rips, and S. Z. Havlin, because they all say Havlin compiled the appellations independently. Gans argues further that such a conspiracy must include the multiple rabbis who have written a letter confirming the accuracy of Havlin's list. Finally, argues Gans, such a conspiracy must also include the multiple participants of the cities experiment conducted by Gans (which includes Gans himself). Gans concludes that "the number of people necessarily involved in he conspiracywill stretch the credulity of any reasonable person." Gans further argued that while "the mathematical issues are difficult for non-mathematicians to comprehend, I can summarize as follows: Professor McKay and his colleagues never claimed to have discovered real codes in those non-Torah texts. Their only "successful" results were obtained by deliberately rigging the experiment in such a way that the layman wouldn't recognize the mathematical flaws." Brendan McKay has replied that he and his colleagues have never accused Havlin or Gans of participating in a conspiracy. Instead, says McKay, Havlin likely did what WRR's early preprints stated he did, in providing "valuable advices". Similarly, McKay accepts Gans's statements that Gans did not prepare the data for his cities experiment himself. McKay concludes that "there is only ONE person who needs to have been involved in knowing fakery, and a handful of his disciples who must be involved in the cover-up (perhaps with good intent)."


WRR authors

The WRR authors issued a series of responses regarding the claims of MBBK, including the claim that no such tuning did or even could have taken place. An earlier WRR response to a request by MBBK authors presented results from additional experiments that used the specific "alternate" name and date formats which MBBK suggested had been intentionally avoided by WRR. Using MBBK's alternates, the results WRR returned showed equivalent or better support for the existence of the codes, and so challenged the "wiggle room" assertion of MBBK. In the wake of the WRR response, author Bar-Natan issued a formal statement of non-response. After a series of exchanges with McKay and Bar-Hillel, WRR author Witztum responded in a new paper claiming that McKay had used smoke screen tactics in creating several straw man arguments, and thereby avoided the points made by WRR authors refuting MBBK. Witztum also claimed that, upon interviewing a key independent expert contracted by McKay for the MBBK paper, some experiments performed for MBBK had validated, rather than refuted, the original WRR findings. Witzum questioned why MBBK had expunged these results. McKay replied to these claims. No publication in a peer reviewed scientific journal has appeared refuting MBBK's paper. In 2006, four new Torah Codes papers were published at the
IEEE Computer Society IEEE Computer Society (commonly known as the Computer Society or CS) is a technical society of the Institute of Electrical and Electronics Engineers (IEEE) dedicated to computing, namely the major areas of hardware, software, standards and people ...
's 18th International Conference on Pattern Recognition (ICPR'06).


Robert Aumann

Robert Aumann Robert John Aumann (Yisrael Aumann, ; born June 8, 1930) is an Israeli-American mathematician, and a member of the United States National Academy of Sciences. He is a professor at the Center for the Study of Rationality in the Hebrew University ...
, a game theorist and winner of the
Nobel Prize in Economics The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel (), commonly referred to as the Nobel Prize in Economics(), is an award in the field of economic sciences adminis ...
in 2005, has followed the Bible code research and controversy for many years. He wrote: Following an analysis of the experiment and the dynamics of the controversy, stating for example that "almost everybody included n the controversymade up their mind early in the game", Aumann concluded:


Robert Haralick

Robert Haralick, a Professor of Computer Science at the
City University of New York The City University of New York (CUNY, pronounced , ) is the Public university, public university system of Education in New York City, New York City. It is the largest urban university system in the United States, comprising 25 campuses: eleven ...
, has checked the Bible Code for many years and became convinced of its validity. He contributed a new experiment, checking whether, besides the minimal ELS – in which it was known that WRR's list was successful in Genesis and MBBK's list was successful in War and Peace – there were other, non-minimal ELSs where there is convergence between the rabbis' names and their respective dates. This had the effect of checking convergence found at 2nd minimal ELSs, 3rd minimal ELSs and so on. According to Haralick, the results were impressive; WRR's list was successful until the 20th minimal ELS, whereas MBBK's list failed after the 2nd minimal ELS. Haralick lectured on the subject in front of the participants of the International Conference on Pattern Recognition in 2006.


Criticism of Michael Drosnin

Journalist Drosnin's books have been criticized by some who believe the Bible code is real but that it cannot predict the future. On Drosnin's claim of Yitzhak Rabin's assassination, Drosnin wrote in his book "The Bible Code" (1997) that " Yigal Amir could not be found in advance". Critics have noted a huge error in the "code" Drosnin claimed to have found: Drosnin misused the Biblical verse . Scholars note; "For example, citing again the passage intersecting with Rabin: that passage is from Deuteronomy 4:42, but Drosnin ignores the words immediately following "a murderer who will murder." What comes next is the phrase "unwittingly" (). This is because the verse deals with the cities of refuge where accidental killers can find asylum. In this case, then, the message would refer to an accidental killing of (or by) Rabin and it would therefore be wrong. Another message (p. 17) supposedly contains a "complete" description of the terrorist bombing of a bus in Jerusalem on February 25, 1996. It includes the phrase "fire, great noise," but overlooks the fact that the letters which make up those two words are actually part of a larger phrase from which says: "under the terebinth that was near Shechem." If the phrase does tell of a bus bombing, why not take it to indicate that it would be in Nablus, the site of ancient Shechem?" Drosnin also made a number of claims and alleged predictions that have since failed. Among the most important, Drosnin clearly states in his book "The Bible Code II", published on December 2, 2002, that there was to be a World War involving an "atomic holocaust" that would allegedly be the end of the world. Another claim Drosnin makes in "The Bible Code II" is that the nation of Libya would develop weapons of mass destruction which would then be given to terrorists who would then use them to attack the West (specifically the United States). In reality,
Libya Libya, officially the State of Libya, is a country in the Maghreb region of North Africa. It borders the Mediterranean Sea to the north, Egypt to Egypt–Libya border, the east, Sudan to Libya–Sudan border, the southeast, Chad to Chad–L ...
improved relations with the West in 2003 and gave up all their existing weapons of mass destruction programs. A final claim Drosnin made in "The Bible Code II" was that Palestinian Authority leader Yasser Arafat would allegedly be assassinated by being shot to death by gunmen which Drosnin specifically stated would be from the Palestinian Hamas movement. This prediction by Drosnin also failed, as Yasser Arafat died on November 11, 2004 of what was later declared to be natural causes (specifically a stroke brought on by an unknown infection).


See also

* * * * * * * * * * * * *


References


Further reading

* * * * * * * * *


External links


The Bible Code
transcript of a story which aired on ''BBC Two'', Thursday November 20, 2003, featuring comments by Drosnin, Rips, and McKay.

fro
Committee for the Scientific Investigation of Claims of the Paranormal
publisher of
Skeptical Inquirer ''Skeptical Inquirer'' (S.I.) is a bimonthly American general-audience magazine published by the Committee for Skeptical Inquiry (CSI) with the subtitle "The Magazine for Science and Reason". The magazine initially focused on investigating clai ...
Magazine {{DEFAULTSORT:Bible Code Language and mysticism Torah