JOSHUA TIME 151
THE BIBLE CODE HOW REAL IS IT
THE SCIENCE OF IT IS HERE
FROM http://www.thebiblecodes.com/feature/codes/Truthaboutbc.htm
THE TRUTH ABOUT THE BIBLE CODES
Author: Keith York
This article is property of the author and may not be reprinted or distributed without permission.
March 4, 2000
Section 1: Introduction
1. What is an equidistant letter sequence? 2. What is a matrix?
Section 2: What the Skeptics Can't Explain
1. What the skeptics have successfully refuted 2. What the skeptics continue to ignore
Section 3: Divine Patterns or Pure Chance?
1. How much can be found by pure chance? 2. The criteria for a significant code 3. How do you know the codes are significant?
Section 4: The Purpose of the Bible Codes
1. What is the purpose of the Bible Codes? 2. Can the codes forewarn us of events to come, or be used to predict the future? 3. Are there hidden theological teachings or messages?
Section 5: Conclusion
1. The implications of the Bible Codes 2. Summary
Appendix: A Detailed Example Of A Statistical Analysis
Section 1: Introduction
1. What is an equidistant letter sequence?
To understand the Bible codes one must first understand two fundamental concepts: (1) equidistant letter sequences and (2) arrays. The equidistant letter sequence (usually referred to as an ELS) is the method by which individual words or phrases are encoded in the Bible codes, whereas an array is a combination of ELS's in a two-dimensional framework. We will start by defining and illustrating what an ELS is. As the name implies, an equidistant letter sequence is a sequence of letters that are equidistant from each other when written as a string without spaces or punctuation marks. An example is the following phrase.
HISEYESSEEMEDROUNDINGANDROUNDINGLIKE.
The underlined letters spell the word 'York'. Each letter in the ELS 'York' is 10 letters further in the text than the preceding letter of the ELS. Therefore it is said that this ELS of 'York' has a +10 skip distance. The skip distance of an ELS can vary from 1 (which would be a surface text appearance of a word) to 2 (every other letter) to tens of thousands. Whenever a researcher reports a finding he should list the skip distance of every ELS that is shown in the array. This helps others to verify the researcher's results.
2. What is an array?
Individual words and phrases are encoded as equidistant letter sequences. However, a code does not consist of a single ELS. In order to be considered to be a code, two or more ELS's must together form an array. An array (also called a matrix) is a portion of text containing two or more ELS's in which all spaces and punctuation have been removed and which contains a certain number of letters on each line. An array can consist of either deliberately encoded ELS's or ELS's produced by random chance. The criteria that distinguish between the two are examined in Section 3.2. An example of an array is given below. The software program CodeFinder contains an English text of "Moby Dick" for practice purposes. Since my name is Keith York, I searched for those three terms in "Moby Dick" to produce an example array. It is shown below. Needless to say, this is an example of an array consisting of ELS's produced by random chance.
In the example above, 'KEITH' is -311 skip distance, 'YORK' is 10 skip distance, and 'NAME' is -309 skip distance. Note the meaning of the negative skip distance. It means that 'Keith' and 'Name' are seen going from bottom to top in the array instead of from top to bottom, as would be the case for a positive skip distance.
An array (or matrix) can be described in a number of ways. The line length is the number of letters in a line of the array. It is the width of the array that would be seen if the array was fully extended to the left and right. In the above example, the line length is 153. In other words, the H that is directly below the O of 'York' in the array is found 153 letters later in the surface text. The row split is the number of rows from one letter of the main term to the next. In this case, the main term is 'Keith' and each letter of the ELS is two rows below the preceding letter. Therefore the row split is said to be two. The size of the array is the area (length X width) of the array. The above example contains 31 columns and 17 rows. Therefore the area of the array is 31X17 = 527.
For a given line length, each ELS will have a fixed compactness. One measure of compactness, z-squared, is derived from the Pythagorean theorem. For 'Keith' in the above array, each letter is two rows below and one column to the left of the preceding letter. Thus 2X2 + 1X1 = 5, the z-squared value of 'Keith' for this array. The distance between the letters of 'Keith' is simply the square root of the z-squared value, or Squareroot of 5. For 'York', z-squared is 0X0 +10X10 = 100, and the distance between the letters is 10. For 'Name', z-squared is 2X2 + 3X3 = 13, and thus the distance between its letters is Squareroot of 13.
For a given line length, ELS's will also have fixed distances from each other, defined as the nearest distance between a letter of one ELS and a letter of a second ELS. In the example above, 'Keith' and 'York' are Squareroot of 5 distance from each other, while 'Name' and 'York' are 3 distance from each other. These compactnesses and distances can be very important in statistical analyses of arrays, as will be shown in the Appendix of this paper.
Now that the fundamentals have been covered, the dispute between codes proponents and codes opponents or skeptics can be discussed.
Section 2: What the Skeptics Can't Explain
1. What the skeptics have successfully refuted
Skeptics' attacks against the Bible codes generally fall into three categories. First there are the simplistic technical objections against the codes. These will be answered in this section. Secondly, there are the much more rigorous objections represented by a paper published in the May 1999 issue of Statistical Science. This paper is dealt with in Section 3.3. Thirdly, there are theological/doctrinal objections to the Bible codes based on a misunderstanding of the true purpose of the Bible codes. These misunderstandings of the Bible code's true purpose are covered in Section 4.
As mentioned, there have been many simplistic technical objections to the Bible codes. These typically represent either a misunderstanding of the nature of the codes or a deliberate creation of a "straw man" description of the codes which can be easily demolished. The difference between the two is a matter of the skeptic's knowledge and/or intentions. However, whether the mischaracterizations of the codes are a result of genuine misunderstanding or deliberate deception caused by hostile intent is irrelevant to the answering of these particular objections. Therefore we will not make any negative assumptions about the motives behind any particular skeptic's objections, but simply focus on the facts. This is done by stating each proposed objection, followed by our response. If the skeptics can be said to have successfully refuted anything, it is their own "straw man" misunderstandings and mischaracterizations they have refuted, not the Bible code itself.
Proposed "straw man" objection #1: Codes proponents claim that the codes consist of equidistant letter sequences (ELS's). ELS's can be found in any text. Thus there is nothing significant about finding ELS's in the Bible. It is true that ELS's can be found in any text of any language, but codes proponents have never claimed otherwise. In fact, ELS's of shorter words occur very frequently in a text, as is described in further detail in Section 3.1. It is not the occurrence of ELS's that is important; it is how they are structured.
Proposed "straw man" objection #2: Words are found as ELS's in the Bible at the same frequency as in other books, that is, the probability that is expected by chance. Thus there is nothing significant about the ELS's in the Bible. There have been a few cases in which a word can be found as an ELS more frequently than expected by chance in a small localized part of the text when that word is particularly relevant to the passage in question. (An example can be seen in A Review of "Cracking The Bible Codes".) However, in the vast majority of cases, words can be found as ELS's at the same frequency of occurrence in the Bible as in other texts. Again, it is not the frequency of occurrence of ELS's that is important; it is how they are structured.
Proposed "straw man" objection #3: Okay, so it is the structure of ELS's that is important. Codes proponents show two-dimensional arrays of ELS's. However, such two-dimensional arrays have also been found in books such as "War and Peace". Thus there is nothing significant about the code arrays proponents have found in the Bible. True, two-dimensional arrays of ELS's have been found in secular books like "War and Peace". However, the simple existence of a two-dimensional array does not mean that the ELS's it contains are significant. A valid Bible code array must meet certain criteria, which are listed and discussed in Section 3.2. To our knowledge, while the "code arrays" found in books such as "War and Peace" and others outside the Bible may meet some of the criteria and thus look like a valid array, none of them containing several ELS's meet every criterion that codes experts agree are necessary to be met for an array to be valid. For example, in the Section 1 example from "Moby Dick", 'name' is found at -309 skip distance. There are 10,158 occurrences of 'Name' in the -309 to +309 skip distance range in the 924,956 letters of "Moby Dick". Thus this ELS of 'Name' is not near-minimal in skip distance; the array does not meet every criterion listed in Section 3.2; and therefore, the example array is not a statistically valid array.
Proposed "straw man" objection #4: Maybe there's something about the Hebrew language that makes codes look significant. After all, Hebrew does not have vowels and therefore the Hebrew word for something is typically shorter than its English equivalent, meaning a word in Hebrew can be found as an ELS more frequently than that same word in English. This difference in language accounts for the "codes" found in the Bible. Again, there is partial truth in this charge. Hebrew does have some letters that act as vowels either all the time (such as aleph), or part of the time (such as vav and yod), but most times vowels in Hebrew are unrepresented in "unscripted" writing. (In Hebrew, vowel points can be found under consonants representing the vowel sound that follows that consonant. This is called "scripted" Hebrew. In "unscripted" Hebrew, the vowel points are omitted and the reader remembers the vowel sounds needed for each word as part of his vocabulary.) However, it is an effect that has already been tested for and controlled. In the experiment by Witztum, Rips, and Rosenberg (discussed in Section 3.3), their data set was tested and found to be statistically very significant in Genesis, but not significant in Hebrew translations of "War and Peace" nor in randomly scrambled texts of Genesis. If the effect was due only to the Hebrew language, significant results would have been found in Hebrew control texts, not just in the Biblical text of Genesis.
Proposed "straw man" objection #5: Michael Drosnin, author of The Bible Code, failed in many of his predictions. This shows that the Bible code is not valid. First of all, we (and others) do not consider Michael Drosnin to be an expert codes researcher. He is a journalist who developed an interest in the Bible codes, saw (and reported) a number of valid arrays developed by others, and then decided to try developing arrays himself. Apparently, he made a few accurate predictions based on the codes, such as the assassination of Yitzhak Rabin and election of Benjamin Netanyahu. (We see no reason to doubt the veracity of these claims.) However, he then "found" arrays that appeared to predict a number of future occurrences. Many of the dates that he named have passed without his predictions coming true. This is not a failure of the Bible codes, but a misuse of the codes. As will be explained in Section 4, the codes were never meant for us to use to predict the future, but only to verify God's foreknowledge of events that have taken place in our past, but thousands of years after the Bible was written. This validates God's authorship of the Scriptures while preventing the codes from being used as a crystal ball.
Proposed objection #6: The text of the Bible that we have today is far from being the same as the original manuscript. It is filled with changes that have resulted from errors in the copying and re-copying of the text over a period of thousands of years. Since accurate codes depend upon the accurate preservation of the original text, even if there had been codes in the original text they would have long since been destroyed. Notice that I did not call this a "straw man" objection. The other objections were based upon a misunderstanding of the mechanics of how the Bible code works. This objection is based upon a challenge of the accuracy of the Hebrew manuscripts we possess today, which is a different line of attack altogether. Actually, there is strong evidence that the Hebrew Scriptures we have today, and especially the Torah (the five books of Moses), contains at best a minuscule number of disputed letters. For more on this subject, see the article by Harold Gans, A Primer on the Torah Codes Controversy for Laymen, which contains in its Appendix A an article by Rabbi Dovid Lichtman, "The Accuracy Of Our Written Torah".
To repeat what was stated initially, skeptics who use the above arguments can be said to have only refuted their own misunderstandings and mischaracterizations of the Bible code, not the Bible code itself. This then leads to the next topic: what the skeptics continue to ignore.
2. What the skeptics continue to ignore
While certainly not true of every skeptic of the Bible codes, many skeptics ignore the true nature of the Bible codes and propound the "straw man" objections listed above. Another common feature of articles that attack the Bible codes is to ignore the evidence that has been gathered on the subject. One such article I remember reading two years ago in a Christian publication focused its attack on Michael Drosnin's book and its shortcomings. The article did not once mention the work that had been published in Statistical Science by Witztum, Rips, and Rosenberg. If the reader is not even informed of this key piece of evidence, how is he supposed to make an unbiased judgment? Likewise, if a reader of such a critical article is never presented with the types of arrays such as found on this site, how is he supposed to make an unbiased judgment? That is why this site contains links to other Web pages that both defend and attack the Bible code phenomenon. We are unafraid of our readers looking at both sides of the story.
Section 3: Divine Patterns or Pure Chance?
1. How much can be found by pure chance?
This question can be broken down into two separate, but related questions: (1) How common are ELS's of a particular word? and (2) What criteria distinguish an array consisting of a random pattern of ELS's occurring by chance from an array consisting of deliberately encoded ELS's?
The answer to the first question is a matter of word length and letter frequencies. The use of some English examples may clarify this. In an English text, 'musical' would occur very infrequently as an ELS because it is seven letters long. In comparison, 'then' would be found very, very often as an ELS because it is only four letters long and its four letters (t,h,e, and n) are all commonly appearing letters. In contrast, 'jazz' would be rare as an ELS. Although it is only four letters in length, three of its letters (j, z, and z) are uncommonly appearing letters.
This is what is actually found. CodeFinder allows one to conduct searches on many different texts, including an English edition of the King James Version Old Testament and New Testament. (This particular feature is for educational and practice purposes only since neither the publisher of the CodeFinder software nor the staff at this site nor any Bible codes expert believes that valid codes can be found in an English translation of the original Biblical texts.) To illustrate the above, 'musical' is found only once as an ELS in the KJVOT skip distance range 2 to 10,000; 'jazz' is found 36 times as an ELS in the KJVOT skip distance range 2 to 10,000. However, in the much smaller skip distance range of 2 to 10, 'then' is found as an ELS in the KJVOT 1438 times. If one had searched for 'then' at a range of 2 to 10,000 there probably would have been approximately 1.4 million occurrences. The four letters in 'rock' are more common than those in 'jazz', but less common than those in 'then', so one would expect it to occur as an ELS more frequently than 'jazz' but less frequently than 'then'. Indeed this is what happens. 'Rock' is found 11,365 times as an ELS in the KJVOT skip distance range 2 to 10,000.
Looking at the Hebrew, the Torah has 304,805 letters. As a rough estimate, if one looked at a skip distance range of 2 to 10,000, there would be 3 billion possible ELS's of any particular length. If one assumed that each of the 22 Hebrew letters is of equally occurring frequency, there would be 3,000,000,000/(22X22X22X22) = 12,800 occurrences of the average four-letter ELS in that skip distance range. There would be 3,000,000,000/(22X22X22X22X22X22) = 26 occurrences of the average six-letter ELS in that skip distance range. There would be 3,000,000,000/(22X22X22X22X22X22X22X22) = 0.05 occurrences of the average eight-letter ELS in that skip distance range. Of course, the exact number of occurrences for an ELS of given length will vary, depending on the letter frequencies of its component letters. Still, these calculations are illustrative and point to an important consideration in Bible codes research. The simple appearance of a word as an ELS by itself without other ELS's in an array means nothing. This is particularly so for words of five letters or less. It is only when ELS's of related words are found together in an array, or when an ELS of several letters is found in a particularly relevant passage, that it is possible that they might be deliberately encoded rather than chance occurrences. (One example of a lengthy ELS found in a particularly relevant passage is the finding of 'Yeshua is My name', seven letters in Hebrew, in the messianic prophecy of Isaiah 53. Grant Jeffrey reports this term and others found by Yacov Rambsel in Isaiah 53 in chapter 7 of his book The Mysterious Bible Codes, 1998, Word Publishing. The site www.biblecodecritic.com features statistical analyses of these terms found in Isaiah 53 which relate to the death of Jesus, finding the cluster of codes relating to Jesus' crucifixion to be very highly significant. For analyses of other occurrences of the ELS 'Yeshua is My name' in the Tanach, see www.angelfire.com/ky/yeshuashmi.)
2. The criteria for a significant code
This brings us to our second question. What criteria distinguish an array consisting of a random pattern of ELS's occurring by chance from an array consisting of deliberately encoded ELS's? There is a general consensus among Bible code experts that significant or valid arrays share the following characteristics. They consist of two or more related words that demonstrate the foreknowledge of God, where these words are both compact and in close proximity to each other in a two-dimensional array. In addition, near-minimality in skip distance of an ELS is considered significant. A simple example containing two ELS's is shown below.
In red ovals is 'Mein Kampf' at 9832 skip distance, the fourth shortest skip distance occurrence of this ELS in the Torah. In green squares is 'Hitler' at -3 skip distance, the shortest skip distance occurrence of this ELS in the Torah. The array contains 1966 letters per line. This example is mentioned on p. 12 of Grant Jeffrey's The Mysterious Bible Codes, although he does not show the actual array. Each characteristic mentioned above is found in this simple array. (1) The two words are definitely related. Adolph Hitler was the author of 'Mein Kampf'. (2) The array demonstrates the foreknowledge of God. When the Torah was written, who but God could have known that thousands of years in the future an individual named Hitler would come to power, much less that he would write a book titled 'Mein Kampf'? (3) The two terms are compact in this array. The letters of 'Hitler' are only 3 distance from each other. The letters of 'Mein Kampf' are only Sqareroot of 29 distance from each other. (From the Pythagorean theorem, 29 = 5X5 + 2X2.) (4) The two terms are in close proximity to each other. They are only two distance from each other. (5) Each term is near-minimal in skip distance. This occurrence of 'Mein Kampf' is the fourth shortest skip distance one in the Torah, while this occurrence of 'Hitler' is the shortest skip distance one in the Torah.
Actually, this same -3 skip distance occurrence of 'Hitler' also forms a good array with the second shortest skip distance occurrence (-7009 skip distance) of 'Mein Kampf' in the Torah, as shown below. This array has a line length of 1402 letters per line. As a brief aside, this second pairing illustrates a tendency within the Bible codes that researchers have noticed. God appears to have built in a certain degree of redundancy into the codes. While this is not true for every topic or event, it appears that certain especially important topics or events are described by more than one array. Oftentimes, different arrays focus on different aspects of a particular subject. This redundancy may be God's way of highlighting certain subjects and/or ensuring that arrays about those subjects are found. For a statistical analysis showing the significance of these two arrays, see Appendix A.
3. How do you know the codes are significant?
As mentioned above, significant code arrays are those which meet the described criteria. However, that still leaves open some questions. How compact must ELS's be in order to be considered significant? How near must ELS's be to each other to be considered significant? The answers to these questions depend upon the specific words and skip distances involved, but a skilled researcher who has much experience examining arrays (in both the Scriptures and control texts) can oftentimes "eyeball" an array and have a good idea whether it is significant or not. In the end, though, the only way to know that an array is significant is to do statistical analysis, a prospect often involving intensive calculations and computer searches of control texts or control words. However, even if one shows that an individual word pair array (such as one of the above) is statistically significant, that may not be enough to convince a skeptic. He may point out that such a pairing might be a lucky fluke. The more relevant question, then, is not if a particular array is significant but is the Bible codes a valid phenomenon or not? Does it simply involve playing word games with randomly produced patterns or is it proof that God did indeed write the Bible?
If isolated word pairings do not constitute proof of the validity of the Bible codes phenomenon, what does? Basically, the proof comes from the gathering of extra data, so much data that the skeptics cannot objectively ignore it. (Of course, they can still non-objectively ignore it, but that is a different story.) There have been two approaches to this gathering of extra data. The first is the approach used by Doron Witztum, Eliyahu Rips, and Yoav Rosenberg (WRR). If isolated word pairs are unconvincing, then design an experiment that examines a whole class of dozens of word pairs where in each pairing the first word and the second word have the same relationship to each other. A paper authored by WRR describing such an experiment was published in the August 1994 issue of the mathematical journal Statistical Science (click here ). As originally submitted, this experiment searched the book of Genesis for ELS's of the names (and other appellations or titles) of 34 famous rabbis and ELS's of their Hebrew dates of birth or death. These rabbis were determined by the rule that their biographical entries in a particular Jewish standard reference book be at least 3 columns long. A statistical measure for each word pairing was calculated and the aggregate results were compared with various control texts. The results were found to be very significant. The referees were baffled and asked the authors to perform the same tests on a fresh data set, 32 rabbis whose entries in this particular reference work were from 1.5 to 3 columns long. Very significant results were found again. The probability of Genesis producing by mere chance as good a pairing for the rabbis and their dates of birth or death as was seen was calculated to be only 1 in 62,500. It was the publication of these highly significant results in a professional statistics journal that first created a widespread excitement about the subject of the Bible codes. Popular books by authors such as Grant Jeffrey and Michael Drosnin helped spread awareness of the subject into the general populace, as have web sites such as this one and the ones listed in this site's Links section.
Since WRR's paper came out, a "refutation" of their work by authors Brendan McKay, Dror Bar-Natan, Maya Bar-Hillel, and Gil Kalai (MBBK) was published in the May 1999 issue of Statistical Science (click here ). MBBK pointed out what they perceived to be flaws in WRR's methodology and data set, flaws which they claimed disproved the existence of the Bible codes phenomenon.. Shortly after that paper came out, this site published a paper Statistics and the Bible Codes. Our paper included the following statements. "As far as the statistics go, even though McKay's paper was convincing, we think we should wait for WRR to reply, because they are saying how terrible and off the MBBK paper was." Also, "even if the MBBK paper successfully rebuts WRR's paper, that does no harm to the Bible codes. The reason is because all this amounts to is two groups of statisticians arguing on methodology." Since that time, Harold Gans, a highly qualified codes researcher (and former cryptanalyst with the National Security Agency) has written a A Primer on the Torah Codes Controversy for Laymen in which he addresses the points raised by MBBK. In this author's opinion, Gans successfully demonstrates that MBBK have not refuted WRR's work. In addition, Gans describes additional Bible codes experiments which have been performed by WRR and himself which continue to show statistically highly significant results. Rather than delving into the intricate details of the original WRR paper, the MBBK "refutation", and the Gans response, readers are invited to use the provided links to read the primary sources themselves.
The second approach to gathering more data is the approach that has been taken by this web site. If arrays consisting of only two or three ELS's can be called minor codes, our goal has been to find examples of major codes or arrays consisting of ELS's of several related words. This is not to say that we at this site believe that minor codes with only two or three ELS's are invalid. It is just that we do not believe them to be particularly convincing to many readers. This site has published numerous arrays on various subjects consisting of ELS's of several related words. This site has also published a methodology for examining these major codes and published an article, Formal Control Experiment Reveals Significant Codes. In this article, several major codes were examined and control arrays from a control text were constructed. These control arrays were compared with the real arrays found in Scriptures and mathematical calculations were performed (taking into account several factors) to determine which major codes were significant. Though some arrays were found to be insignificant, more were found to be significant. It is important to restate that just because we take a different approach to the Bible codes than do WRR and their associates does not mean that we believe their work to be invalid. We believe that their work is valid. However, we also believe that the approach they have taken to the codes to be only one aspect of a larger phenomenon, and it is these other aspects of the codes that we seek to explore. Also, WRR and others have written to a target audience of professional mathematicians, as is appropriate given the formalized nature of their research. However, we seek to reach a broader audience, showing them the reality and wonder of the codes, and through that, the reality and wonder of our God.
A third approach to statistical analysis of the codes can be found at www.biblecodecritic.com. This site is run by professional mathematicians Ed Sherman and Dave Swaney. Their approach in the analysis of code clusters is to first choose the most improbably occurring ELS to be the focal code. Analysis of all other ELS's is based on their relation to the focal code. If an ELS crosses the focal code, they compute the probability that an ELS of that term and of no greater than that skip distance would cross the focal code by chance. If an ELS does not cross the focal code, they compute the probability that it would come as close to the focal code in the text as it does. A full description of the method can be found in Mr. Sherman's book "Breakthrough", which can be purchased and downloaded at their site.
As can be seen, there are many different approaches to the statistical question. Whichever approach is taken, though, the goals are the same: first, to test the significance of individual arrays, but more importantly, to show that the Bible code phenomenon is real, that it cannot be explained by random chance, and therefore that God did indeed write the Bible.
Section 4: The Purpose of the Bible Codes
1. What is the purpose of the Bible Codes?
The purpose of the Bible codes has been alluded to in the previous sections, but it is now time to state it explicitly. An excellent summary statement can be found at The Purpose of the Bible Codes. "The Bible Codes are there to show that the God of the Bible inspired the writing of all scripture, by finding descriptions of people and events that happened after the Bible was written, encoded in the original texts. The codes serve as God's signature".
Is this conception of the Bible codes consistent with what we see in the Bible itself? Hebrews 6:18 tells us that "it is impossible for God to lie" [1]. John 17:17 states that God's "word is truth". Since God will not contradict Himself, then the true conception of the codes must be consistent with the Bible's plain message.
The first question to ask, then, is whether ELS encoding is consistent with the Biblical view of the inspiration of Scripture? Deliberate ELS encoding is possible only if God inspired Scripture at the letter-by-letter level. If God simply inspired an author's ideas, but not how he actually wrote the book, then the deliberate encoding of information by ELS's would be impossible. Traditional Jewish views of Scriptural inspiration are that the Torah was dictated letter-by-letter to Moses from God, but that He only inspired the authors of the Writings and Prophets at the idea level, not at the letter-by-letter level. Therefore the Jewish view of the codes is that they will be found in the Torah, but not in the rest of the Tanach. Christian proponents of the codes, however, believe that valid codes can be found all throughout the Tanach (the Hebrew Scriptures or Christian Old Testament). Referring to all of the Tanach, 2 Timothy 3:16 states that "All Scripture is inspired by God". The original Greek word translated "inspired by God" is theopneustos, meaning literally "God-breathed". 2 Peter 1:20,21 states "But know this first of all, that no prophecy of Scripture is a matter of one's own interpretation, for no prophecy was ever made by an act of human will, but men moved by the Holy Spirit spoke from God." This also is consistent with God inspiring the human writers of Scripture at the letter-by-letter level, not only in the Torah but also in the rest of the Tanach.
The second question to ask is whether the content of Bible code arrays is consistent with how God has spoken in the surface text of the Bible? God's foreknowledge of the future and His revelation of that foreknowledge to men through prophecy is a general theme throughout the whole Bible. One of the clearest statements concerning this is found in Isaiah 46:9,10. "Remember the former things long past, for I am God, and there is no other; I am God, and there is no one like Me, declaring the end from the beginning and from ancient times things which have not been done, saying 'My purpose will be established, and I will accomplish all My good pleasure.' " This verse (and others) clearly shows that God does indeed have the foreknowledge to encode the details of future events as Bible code arrays. Furthermore, this is consistent with how God has spoken in the past in prophecies.
Having established that our conception of the Bible codes is indeed biblical, one further point must be made concerning verification. If a person sends a message via a courier to another individual, how can the recipient know that the message he has received is indeed from that person rather than from a forger whose intent is to deceive? One way is through verification. Although there are various means of verification, one method is to include in the message information known only to both the sender and the recipient. How does that translate into the situation regarding the Bible codes? In this case, God is the sender, the Bible is the message, and we are the recipients. What was known to God when He wrote the Bible were the details of all future events. What is known to us when we attempt to find a Bible code array is selected data from our past. Thus in this case what is only known to both the sender when He wrote and the recipient when he examines are the details of history between when the Bible was written and the present time. Finding code arrays with these details is evidence that the Bible was indeed written by God. This constitutes the subject matter of the Bible codes, and a proper grasp of this point can guard one from misuses and false interpretations of the codes.
2. Can the codes forewarn us of events to come, or be used to predict the future?
The answer to this question is no. To understand why, apply the principle in the preceding paragraph. What is in our future is known only to God, not yet by us. What is in our future is thus a proper subject for God to have encoded details concerning it, but not a proper subject for us to attempt to find an array about. To find an array with details of a past event serves to help substantiate God's authorship of Scripture. To find an array with supposed details of a future event can only be speculative. Since we do not know the details of future events, we cannot know that what we have found is a valid code array. It may be that we have made a lucky guess, but there is no way to know that until after the event has occurred. Therefore the codes cannot be used to predict the future nor to warn us of events to come.
The Bible codes also do not encode alternate possible futures which may or may not happen. See Does The Bible Encode Alternate Possible Futures?. In addition to the points made by that article, the following can be stated. For the sake of argument, assume that the Bible codes do encode alternate futures which might or might not happen. If one found an array about a possible future event which might happen, and it did happen, this would be indistinguishable from an array which God encoded about an event which He knew would happen. If one found an array about a possible future event which might happen, and it did not happen, this would be indistinguishable from a random word pattern one found by chance. It all comes back to the fact that the codes can only be considered valid where we know the relevant details of an event, i.e. when it has already happened. Thus not only is the idea of God encoding details of events which might or might not happen unbiblical, it is also philosophically indefensible.
3. Are there hidden theological teachings or messages?
The answer to this question is also no for the same reason. Knowledge concerning historical events can be gained through natural means once that event has occurred. Theological truths can only be learned through God's self-revelation, i.e. the Bible. A hidden theological teaching or message is one that by definition is not in the plain text of the Bible. If it is not in the plain text of the Bible it cannot be known by us to be true, even if it is true. An example should suffice to illustrate the point. The Bible is limited in its teachings concerning the hierarchy of angels. Let's say that a person decided to find an array concerning the hierarchy of angels. What he concludes from his array might be true, but there would be no way for him to know that it is true. Again, what he concludes from his array might be false, but there would be no way for a third party to know that it is false. Since natural means cannot teach us about the hierarchy of angels and the Bible says very little on the subject, the array is useless. Since it cannot serve to verify God's foreknowledge, whatever pattern of ELS's he may find will remain just that, a pattern of ELS's. It can never qualify to be a valid Bible code array.
These are just two questions which might be raised. For a discussion of many other proposed but false "purposes" of the codes, see the article mentioned above, The Purpose of the Bible Codes.
Section 4 endnotes:
[1] All Bible quotations are from the New American Standard Bible, copyright 1960, 1962, 1963, 1968, 1971, 1972, 1973, 1975, 1977, The Lockman Foundation.
Section 5: Conclusion
1. Implications of the Bible Codes
The Bible Code answers the question of God's existence with a definite Yes. God does exist. Furthermore, since the Code is found in the Bible, the answer is even more specific. The God of the Bible does exist. If the God of the Bible does exist, and the Bible is His self-revelation to us, then we need to take the Bible's message very seriously. We are His creation and are accountable to Him. What are the implications of the Bible Codes for the reader of this paper? They are fourfold, as stated in this site's Mission Statement. (1) For the atheist or agnostic, the codes demonstrate not just the existence of God, but also His awesomeness, and show that it is He and He only who is God. We hope from this that they realize their need for a Savior. (2) For the "religious", the codes forces them out of their comfort zone into the need for a personal relationship with God. (3) For the believer who doesn't believe that ALL of the Bible is true, the codes let them know that everything they read in Scripture is true, thus strengthening their faith. (4) For the believer who believes in all of the Bible, but has been mislead about the Bible codes, we hope that the codes strengthen their faith in the Bible, and provide them with evidence they can use in witnessing to others.
2. Summary
The author has sought to give a good overview of the truth about the Bible codes in this paper. Section 1 explained what an equidistant letter sequence (ELS) and matrix are. Section 2 addressed some of the common mischaracterizations and misunderstandings of the codes that have been raised by skeptics. Section 3 listed the criteria for a valid Bible code array and discussed the difference between random ELS occurrences and significant codes. Section 4 stated the true purpose of the Bible codes and refuted some of the false proposed purposes of the codes. Section 5 has shown the implications of the Bible codes and what they mean for the individual reader. If we have given the reader a better understanding and appreciation of the codes and helped strengthen your faith in God, then we will consider our mission to be accomplished.
Appendix: A Detailed Example Of A Statistical Analysis
This appendix shows a detailed statistical analysis of two Bible code arrays presented in Section 3.2 of this paper. Those two arrays show a pairing of 'Mein Kampf' with 'Hitler'. The 'Hitler' in each array is the same occurrence and, at -3 letter distance, is the shortest skip occurrence of this word in the Torah. The two occurrences of 'Mein Kampf' (at -7009 letter distance and 9832 letter distance) are the second and fourth shortest skip distance occurrences of this word in the Torah. It is hoped that this example will help lead the reader into a greater understanding of the Bible codes phenomenon and the methods of statistical analysis used to show their significance. I apologize beforehand for the technical jargon that follows, but given the importance of statistical analysis to Bible codes research I believe that is important to go into detail on the subject.
First it is necessary to define a term used by Witztum, Rips, and Rosenberg (WRR) in their 1994 Statistical Science article. For an array of given line length they define a term using the Greek letter delta, which we will simply call D. This term, D(e,e'), is the sum of three squared distances: (1) the squared distance between consecutive letters of ELS e; (2) the squared distance between consecutive letters of ELS e'; and (3) the squared minimal distance between a letter of e and a letter of e'. Designate 'Mein Kampf' as e and 'Hitler' as e'. Thus for the first array, the first squared distance is 29. This is calculated by squaring the 5 rows from one letter to another and adding the square of 2 columns from one letter to another (5X5 + 2X2 = 29).
The second squared distance is 3X3=9. The third squared distance is 2X2=4. Therefore in the first array D(e,e') = 29+9+4 = 42. In the second array, the first squared distance is 26 (5X5 + 1X1 = 26). The second squared distance is 3X3=9. The third squared distance is 18 (3X3 + 3X3 = 18). Therefore in the second array D(e,e') = 26+9+18 = 53. Notice that the smaller D(e,e') is for a particular pair of words, the better the array is for that pair of words. (It must be explicitly stated that delta values for one pair of words cannot be directly compared with delta values for another pair of words. A delta value pointing to a statistically significant array for two particular words may point to a statistically insignificant array for a different two words.)
Having defined D(e,e') for the two arrays, we ask the following question. What is the probability that the shortest skip distance occurrence of 'Hitler' in the Torah would produce arrays with two of the four shortest skip distance occurrences of 'Mein Kampf' in the Torah where D(e,e') < 53?
When WRR performed their experiment, they performed additional calculations on delta(e,e') to come up with functions labeled mu and sigma of e and e', and omega and c of w and w'. Those calculations, which are very complicated, were designed to produce aggregate statistical measures for the entire data set of 32 rabbis (each with different possible appellations) and their dates of birth and/or death (with three standard Hebrew date formats tested for each). They then performed an internal control test where the aggregate result for all correct pairings was compared with 999,999 randomized mismatched pairings (that is, where each rabbi's name was paired with a different rabbi's date of birth and/or death). These were then ranked from 1 to 1,000,000 with 1 being the matchings that gave the best result and 1,000,000 being the matchings that gave the worst result. If the Bible codes phenomenon does not exist, one would expect the correct name/date matchings to perform no better on average than incorrect name/date matchings. However, using four different statistical measures, the correct matches in Genesis ranged from 4th best out of 1,000,000 to 570th best out of 1,000,000. By any standard one might want to use, these are very significant results.
Our analysis will be quite simpler, needing only the delta function, D(e,e'), since only one word pair is involved. However, our analysis is conceptually similar. Where WRR used name/date mismatches, we will keep one ELS constant and permute the letters of the other. Namely, we will keep the four shortest skip distance occurrences in the Torah of 'Mein Kampf' (ELS e) constant while searching for arrays of it with e', where e' are the permuted spellings of 'Hitler'. By permuting the letters of a word, one can create several "control" ELS's which have exactly the same expected letter frequencies as the ELS being tested. Therefore, since ELS e is being kept constant and the letter frequencies for the test e' and the "control" e' ELS's are the same, the D(e,e') of the correct spelling and the permuted spellings can be directly compared. As it turns out, a 5-letter word where each letter is different has 120 spelling permutations. (The number of permutations equals "5 factorial", which is written "5!". 5! = 1X2X3X4X5 = 120.) However, half of these spelling permutations are simply the backwards spelling of the other half. Thus there are only 60 "reversal-independent permutations". (As an example, abcde and edcba are considered as just one "reversal-independent permutation" since abcde at a skip distance of +n is the same as edcba at a skip distance of -n.) These 60 permutations are labeled H1 through H60, where H1 is the correct spelling of 'Hitler' and H2 through H60 are all other possible reversal-independent spelling permutations of the five Hebrew letters in 'Hitler'. They are listed below.
Each of the four occurrences of 'Mein Kampf' were searched for with the 60 permutations of 'Hitler' (12 at a time). Since we are only interested in those cases where D(e,e') < 53, only skip distances -7 to +7 were searched for H1 to H60. (A +8 skip distance occurrence would have a squared distance of 8X8=64. Therefore regardless of how compact e was or how close e and e' were, D(e,e') would be greater than 64 in those cases.) Of H1 to H60, there were 37 permutations that produced 66 occurrences in the -7 to +7 skip distance range. Only one of these 66 was the correct spelling of 'Hitler'. Row splits 1 through 7 were manually inspected in each case to see if any "good" arrays were formed. When a "good" array was formed, D(e,e') was calculated. Of the 66 occurrences of the 60 permutations, the best was one of H21 and the -6164 skip distance ELS of 'Mein Kampf' at row split 5 with D(e,H21) = 29. The second best occurrence was one of H17 and the -7009 skip distance ELS of 'Mein Kampf' at row split 4 with D(e,H17) = 35. The correct spelling of 'Hitler' ranked 3rd best on two occurrences of 'Mein Kampf', D(e,H1) = 42 and D(e,H1) = 53.
This enables us to calculate the answer to the question that we first asked. What is the probability that the shortest skip distance occurrence of 'Hitler' in the Torah would produce arrays with two of the four shortest skip distance occurrences of 'Mein Kampf' in the Torah where D(e,e') < 53? If H1 only ranked 3rd best out of 60 permuted spellings one time, P would be 3/60, or 5%. However, since H1 ranks 3rd best of the 60 permutations with two different occurrences of 'Mein Kampf', P = (3/60)(3/60) = 1/400. In other words, the probability that this would happen by mere chance is only 1 out of 400, or 0.25%. As we can see, the evidence of both arrays taken together is much greater than the evidence of either considered by itself.
Actually, the above is a slight understatement of the actual probabilities, for WRR's paradigm would have us consider one other factor, the domains of minimality of 'Mein Kampf' and of 'Hitler' (H1), as well as H2 through H60. A "domain of minimality" (w) is simply the fraction of the text (in this case, the Torah) for which a particular occurrence of an ELS is the shortest skip distance. Thus the shortest skip distance occurrence of an ELS will have a domain of minimality of 1 (w = 1), whereas longer skip distance occurrences of that same ELS will have a domain of minimality of less than 1 (w < 1). One can also speak of a "domain of simultaneous minimality" of particular skip distances of the two terms e and e', designated as w(e,e'). This is the overlap of the domain of minimality for the given occurrence of e and the domain of minimality for the given occurrence of e'. D(e,e')/w(e,e') gives a delta value [compactness and proximity of the two ELS's] that is modified by a measure of how near-minimal each ELS is. Since we are keeping the four occurrences of 'Mein Kampf' (e) fixed and permuting the spelling of 'Hitler' (e'), we can consider only the effect of w(e'), that is, the domain of minimality of terms H1 through H60.
Since 'Hitler' (H1) at -3 skip distance is minimal for the entire Torah, w(H1) = 1. Therefore, D(e,H1)/w(H1) = D(e,H1) = 42 for one case and 53 for the other case. The occurrence of H21 that produces D(e,H21) = 29 is minimal for the entire Torah and thus w(H21) = 1. Thus D(e,H21)/w(H21) is still 29, and still ranked best. However, the occurrence of H17 that gave D(e,H17) = 35 has a much smaller domain of minimality, only 493 of the 304,805 letters of the Torah. (This is because it is found in a phrase that is repeated both a few verses before and a few verses after.) Thus in this case w(H21) = 0.00162 and D(e,H21)/w(H21) = 21,640. What was second best when domains of minimality were not considered is far from second best when domains of minimality are considered. This would make H1 2nd best twice from this perspective and P would be (2/60)(2/60) = 1 chance out of 900.
The two preceding paragraphs demonstrate how "domains of minimality" are taken into account when performing statistical analysis. The example also illustrates how this can sometimes produce strange results when compared with results that do not use domains of minimality. This is a rather extreme example, though, since multiply repeated phrases only a few verses apart occur only a handful of times. Therefore in most situations the use of domains of minimality will produce valid results. In any event, regardless of whether one accepts the probability of 1 out of 900 or 1 out of 400, the evidence is strong that rather than it occurring by random chance, God deliberately encoded this pairing.
As was stated in the introductory paragraph, it is hoped that this detailed example has led the reader both into a greater understanding of the Bible codes phenomenon as well as the methods of statistical analysis used to show their significance. If it has done this, this appendix has served its purpose.
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Back to The Bible Codes
THIS IS ANOTHER THING ABOUT BIBLE CODES THE SCIENTIFIC PERSPECTIVE
FROM http://www.aish.com/seminars/discovery/Codes/scientific.htm
"Bible Codes"
by Harold Gans
Harold Gans, Director of Research for Aish HaTorah,spent 28 years as Senior Cryptologic Mathematician with theNational Security Agency, United States Department of Defense.
The phenomenon of hidden codes in the Bible is real, and its implication should not be minimized. While it is tempting to lose oneself in a sea of prophesy, what is truly astounding is that serious scientific evidence supports this contention and points to a divine author of the Bible. With discussions and advice on every topic from business and health to marriage and relationships, the Bible has guided people for thousands of years. The existence of hidden codes would be yet another piece of "evidence" that this anchor of faith, on which entire belief systems and ways of life have been built, merits careful and serious study. After all, if it is of divine origin, who wouldn't want to consult it on life's most important issues? While theologians and lay people alike have always found insights in the Bible, and the concept of "hidden" information encoded within the text can be found in the work of many of the classical Jewish commentators, computers and mathematics have now made it possible to examine the Bible in a way never before possible. In a carefully controlled experiment, the internationally renowned mathematician Eliyahu Rips, physicist Doron Witztum, and Yoav Rosenberg successfully searched the Hebrew text of the Book of Genesis for the encoded names and dates of birth and death of 32 rabbis who lived between the ninth and eighteenth centuries. Their study concluded that the existence of this information in the text could not be a chance occurrence. They published their work in the prestigious peer review journal, Statistical Science in August 1994. In the three years since publication, many have tried to find the "fatal flaw" in the "Great Rabbis Experiment," and none has succeeded. I myself, a cryptologic mathematician with nearly three decades of experience cracking codes for the United States Government, was initially highly skeptical of their results, and was not only able to validate their work, but using their method was able to extend it by pairing the cities of birth and death with the names of the rabbis on their list. Statistical analysis shows that the presence of these names, dates, and cities cannot be reasonably attributed to mere coincidence, the probability of such an occurrence being vanishingly small. What conclusion can be made about these and other statistically verifiable codes? Only one--that the information was deliberately placed in the Bible by its author. Yet the Bible has existed in its present form for thousands of years. How then, could its author have known such details about men who would not be born for centuries? Logic would dictate that the author could not be human, could not be bound by the limits of time. It would then be natural to conclude that the author is a divine being. Whether you agree with me or not, the implication of the hidden codes discovery is clear and profound: the search for God and the meaning of human existence should be as compelling a pursuit at the turn of the millennium as it was at the beginning. So, if we cannot use the information in the hidden codes to look to the future, for what purpose can it be used? As I've suggested, only to appreciate the nature of the Bible's author. Several major adult religious educational organizations, including the one with which I'm affiliated, use the codes phenomenon as a tool to re-interest and reintroduce people to the Bible - to suggest that they take a second look at how its wisdom applies to their own lives. Clearly the presence of hidden codes in the Bible hints at evidence of great mysteries yet to be revealed.
Can Codes be Usedto Predict the Future?
FROM http://www.aish.com/seminars/discovery/Codes/predict_the_future_.htm
by Harold Gans
Harold Gans, Director of Research for Aish HaTorah,spent 28 years as Senior Cryptologic Mathematician with theNational Security Agency, United States Department of Defense.
Many people have asked the following question: "If the future is encoded in the Torah, why can we not use the codes to predict the future?" I will provide a couple of simple answers.
1.The effect of the Torah codes, simply stated, is this: Words that are conceptually related to each other (e.g., via an historical event) are sometimes found encoded in close proximity to each other. The specific relationship discovered by Witztum and Rips (in the book of Genesis) is [personality name] and [Date of birth] or [personality name] and [date of death]. The one found by Gans is [same personality names as before] and [cities of birth] or [same personality names as before] and [cities of death].
Several other relationships have since been discovered by Witztum and Rips as well. Since this encoding is only "sometimes", a statistical test is done to see whether the number of such occurrences found exceeds the random expection in a statistically significant way. We use the word "proximity" loosely; the true definition is mathematically complex.
2.In formal logic, the statement "B implies A" is the converse of "A implies B". The truth of the converse of a statement is quite independent of the truth of that statement. For example, consider the statement "Gold glitters" (Formally, in logic, we would state this as an implication: "If something is gold, this implies that it glitters"). The converse is "Anything that glitters is gold" and is obviously false. Thus, the folk wisdom: "All that glitters is not gold". The problem is that although it is true that gold glitters, there are many other things that glitter too.
Similarly with the codes. There are 78,064 letters in Genesis and many skip distances for els's to consider. There will be many many words which will occur in close proximity to each other even though they are formed at random. Thus, given two words in close proximity we cannot conclude the converse, namely that they are related through some historical event. Of course, if one makes enough such predictions, perticularly if they are reasonable, one is likely to guess right sometimes. But that is all it is: a lucky guess.
To summarize: the statement "If words are related to each other via an historical event then they will be in close proximity to each other more often than expected by coincidence", while true, does not imply the truth of its converse "If two words are in close proximity to each other then they are related to each other through some historical (or future historical) event".Thus, the concept of using codes to predict the future is logically flawed.
3.Since some historical events do have related words encoded in close proximity to each other, one might think that some of the time, when one finds words in close proximity to each other, it will in fact, be one of these codes. In such a case, perhaps these can predict the future? One problem, of course, is that how is one to know if any particular example of words in close proximity belongs to a true code, rather than being just a mere coincidence? One might insist on only using words whose close proximity has statistical significance.
But there are several problems with this: (a) Unless the words have been specified completely before the search is instituted, no probablity can be legitamately computed. That is to say, one might go through the steps of calculating a probability without any flaw in the computations, but the end result will be meaningless anyway. Of course, it is quite difficult to specify words associated with a potential future event in an apriori way because the event has not happened yet!
(b) There is a further problem: In looking at a past event, the context of words associated with that event are known. However, for a future event, the context is not known: one is trying to deduce the context from the words. This is, of course, subjective and has absolutely nothing to do with mathematically verifiable codes. Let us take a simple example. We find "Yeshua" (the currently popular name for Jesus) encoded in close proximity to "Moshiach" (Messiah). Some would like to conclude that the context is "Yeshua is the Moshiach". However there are a number of other contexts that could be valid, even if this proximity were statistically significant (which it absolutely is NOT [see the excellent paper by Rabbi D. Mechanic on this]): The code could mean "Yeshua will think that he is Moshiach", or "Many people will believe that Yeshua is Moshiach", or "Someone has yet to be born with the name 'Yeshua' who will dream he is the moshiach", and on and on.
Now this example was not of a future event (although maybe it is?), but the idea is the same. Consider "Yitzchok Rabin" in close proximity to "the murderer will murder" (not assassinate!). Is this hinting that Rabin will be murdered? Or is hinting that Rabin will be a murderer (some say that he was). Or is it really saying, as per the true context of the text itself, that someone will accidentally murder Rabin (or Rabin will accidentally murder someone else)? In summary, since the context of a future event is not known, that context must be subjectively derived from the words found encoded. Thus the process is a subjective one with no basis in mathematically verifiable codes. One might just as well use the text of "War and "Peace" to look for meaningful context! (Actually, unbelievable as it may seem, some people have actually done it! This demonstates clearly that deducing context from "encoded" words has nothing at all to do with Torah or mathematics. It is only when one starts with an established a priori list of words that one even has a chance of finding statistically verifiable codes - provided, of course, that one knows how to do the test properly). I hope this helps people understand the logical fallacy of trying to predict the future with Torah codes.
FROM http://WWW.ad2004.com/Biblecodes/Hebrewmatrix/Hebmatrix.html
Welcome to an open forum for all Hebrew Bible code researchers to display their matrixes (with attribution). If you'd like to contribute a matrix, please send it as an attachment to an e-mail in any format (GIF preferred and not large BMP files), to the address at the bottom of the page.
The smaller matrixes on this page are gifs, but the larger matrixes will probably be in pdf format to allow the viewer to zoom in and out. It will require the free Adobe Acrobat Reader program and browser plug-in (available at http://www.adobe.com ).
View the matrix(es) by clicking on the links (newest ones are on the top of the list below).
The Coming of Elijah Matrix (PDF) by ep, NEW 6/20/2005A comprehensive (and nice looking) matrix on the Coming of Elijah. Make sure you show the matrix at 100% size in order to clearly see all the terms in the matrix. The matrix has 72 terms and is statistically very significant. It also has a predictive element.
New Bible Code Matrix on 9-11: Learning the Value of Snooping (PDF) by Roy A. Reinhold, webmaster I decided to develop a new advanced matrix on the 9-11 attack, that is both statistically significant and meaningful. My purpose was also to show the reader how to go about developing more advanced Bible code matrixes. I think everyone will find this matrix visually stunning.
December 13, 2004 The newly rewritten article comparing all the Bible codes software programs is now up. There are rankings, speed tests, comparisons of functions and more. html version . PDF version
Protocol of a Statistical Evaluation of Some Items in the AD 2006 Matrix (PDF) by Lyuben Piperov of Bulgaria A paper by Lyuben to answer some e-mails he's had concerning the statistical relevance of his matrix and some of the terms in his AD 2006 matrix. An interesting paper. I also duplicated his matrix in CodeFinder and put a note at the end on the odds I came up with using the R-value method in CodeFinder.
Dispelling A Myth About Transliteration Of Names (PDF) by Roy A. Reinhold, webmasterAfter a recent article by someone giving bad transliteration advice, I thought it would be helpful to show everyone that both logically and from the Bible itself, that the bad advice is disproven. The bad advice was in regard to transliteration of names in the Bible code, and stated that certain letters can only be used for people who are Jewish. In fact, the Bible clearly shows many, many non-Jews whose names are spelled within the Bible using these so-called "prohibited" letters. A short 6-page article that should be helpful to most people.
A Strange Code About AD 2006 Discovered In The Torah (PDF) by Lyuben Piperov of Bulgaria A paper that investigates a Bible code concerning the year 2006 and its relation to prophecies.
Falsifying Moshe Shak's Papers on Mel Gibson (PDF) by Roy A. Reinhold, webmasterAfter privately confronting Moshe Shak over his papers attacking Mel Gibson and pointing out numerous illegitmate Bible code techniques employed, Moshe has asked me to remove his papers from the website, which I have done. I consider Moshe Shak to be one of the world's top Bible code researchers, but he stepped way over the line. In reality, we don't have a handbook on the Bible code giving all the rules, so read this paper to see the problem areas. It will help everyone to see what techniques and problems to avoid in codes research.
Is There A Message Encoded in PI? or Data Integrity In The Torah (PDF) by Kevin Acres of Australia Kevin Acres explores different mathematical concepts and applies them to the books of the Torah and the Torah itself to see if they show a pattern from which we can deduce the accuracy of the Torah we have today. He goes on to look at similarly encoded patterns in the mathematical constant of PI. I'm sure it will be a somewhat controversial paper, but extremely interesting. As a bonus, there is a 2 page Addendum which is a Bible codes matrix by Moshe Shak looking for Kevin's mathematical findings in a matrix (should be considered preliminary). Kevin is the creator and main programmer for the CodeFinder: Millennium Edition Bible codes program, the #1 ranked codes program in the world. He welcomes your comments by e-mail.
Mel Gibson - Saint Or Sinner?: Main Article (PDF) by Moshe Aharon ShakMel Gibson - Saint Or Sinner?: Summary (PDF) by Moshe Aharon ShakPresenting a new world record in the Bible code, Moshe has a matrix with a 146-letter long term and a 109-letter long term on the subject of Mel Gibson and his movie, The Passion of Christ. After confronting Moshe Shak over the illegitimate Bible code techniques in his papers, he has asked that I remove his papers from my website. I have done that. Everyone needs to read my new paper showing why Moshe's papers were falsified. See Falsifying Moshe Shak's Papers on Mel Gibson (PDF) by Roy A. Reinhold
Safe States For Jews During The Holocaust In Europe 1941-5: Encoded in the Torah (PDF) by Lyuben Piperov of Bulgaria An extensive paper investigating the Holocaust in Bulgaria and the rest of Europe in WW2, in the Bible code. Lyuben looks at encoding of "safe states" during that tragic period in world history. Specifically, Lyuben wanted to know whether the Bible code showed the extent that heroic Bulgarians went to in order to save Jews and not comply with Nazi extermination plans. It's an aspect of WW2 that people are largely unaware of. The PDF allows you to save it and print it if you desire. E-mail Lyuben with any comments.
WMD from Iraq Matrix by Roy A. Reinhold The WMD (weapons of mass destruction) from Iraq matrix was introduced on the new History Channel Bible code special which premiered on April 11, 2004. The matrix investigates whether Saddam Hussein relocated his WMD to Syria and the Beqaa valley of Lebanon prior to the recent war which began in March, 2003. The matrix affirms the investigation thesis and adds predictive elements. It's a PDF file temporarily located on the Bible Codes USA book publishing website. Clicking on the link will take you there.
End of Days Matrix by Roy A. Reinhold The End of Days matrix was introduced on the History Channel special, The Bible Code: Predicting Armageddon, although they didn't show the matrix itself on the show. I temporarily have it on Bible Codes USA book publishing website. It's a PDF and clicking on the link will take you there. The matrix is about the coming of the Messiah.
Nibiru and the End of Days by Bob Schneider Bob Schneider has developed this preliminary work looking at the subject of the supposed planet Nibiru in the Bible code. The matrix article has a number of matrixes and is in PDF. The article may be controversial and Bob welcomes e-mails on the subject (address at end of article).
Saddam Hussein Captured matrix by Dr. Asali Zaki Bible code matrix on the recent capture of Saddam Hussein from a rat-hole in Iraq near Tikrit, north of Baghdad.
The Hidden Message in Psalm 22 matrix by Richard C. Prendergast Richard C. Prendergast has developed a low ELS matrix in the area of Psalm 22, that ties in the prophecies of Psalm 22 with Yeshua (Jesus) as Messiah. He uses names and titles for the Messiah in the surface text of the Bible and locates them in this matrix with excellent odds. Feel free to read the matrix and e-mail Richard if you have questions or concerns. Richard Prendergast is a Christian missionary and former Master of the OM missionary ships Doulos and Logos II. He resides in England. 8 page PDF article requires the free Adobe Acrobat Reader program to view.
Jerusalem Terror Bombing on August 19, 2003 matrix by Dr. Asali Zaki A Bible code matrix on the terrible bombing in Jerusalem, Israel on August 19, 2003.
Electrical Blackout in the USA matrix by Dr. Asali Zaki Dr. Asali's new Bible code matrix on the electrical blackout in the northeast USA in early August 2003.
NEW Advanced SARS and the Health of the Lungs by Moshe Aharon Shak Moshe's advanced version Bible code matrix on the SARS virus. The new additions include quite a few new matrix terms and hints at an avenue for a cure. Extensive PDF file with impressive statistical significance
SARS Bible code matrix by Dr. Asali Zaki Dr. Asali 's Bible code matrix on SARS. html file
SARS and the Health of the Lungs by Moshe Aharon Shak Moshe's Bible code matrix on the SARS virus. It's an issue that has many people concerned, especially in Asia or if you travel from Asia. Extensive PDF file with impressive statistical significance
Iraq Crisis matrix, part 1 by Dr. Asali Zaki Part 1 is a quick look at the current events taking place in Iraq, in the Bible code.
Columbia Shuttle Disaster , part 2 by Moshe Aharon Shak of Canada Part 2 delves more deeply into the Columbia disaster, oriented towards a Jewish view as it relates to the Ilan Ramon, the first Israeli astronaut who was on Columbia. I should mention that Moshe had this matrix done by February 16, and it wasn't put up on this website for a couple of weeks due to time constraints of the webmaster. PDF file.
The Final Flight of Shuttle Columbia, part 2 by Dr. Asali Zaki Part 2 has builds through a series of matrixes, what appears to be a picture of the shuttle in the matrix, with the term for the left wing saying, "fire consumed". It's very interesting. html file
The Final Flight of Shuttle Columbia, part 1 by Dr. Asali Zaki Part 1 has two different matrixes on the Shuttle Columbia disaster. They are both meaningful and statistically significant. As always, Dr. Asali Zaki's take on events is good codes work. html file.
Columbia Shuttle Disaster , part 1 by Moshe Aharon Shak of Canada An interesting look in the Bible codes by Moshe on the Shuttle Columbia disaster. His matrix is oriented towards a Jewish view as it relates to the Ilan Ramon, the first Israeli astronaut who was on Columbia. I should mention that Moshe had this matrix done by February 16, and it wasn't put up on this website for a couple of weeks due to time constraints of the webmaster. PDF file.
Webmaster Note: A couple of people e-mailed with problems viewing the matrix above. It works well in both the Netscape browser and MS Internet Explorer browser. If you have a problem, try updating your browser and Acrobat Reader program. They are FREE programs, so there is no excuse. :-) The latest Acrobat Reader program is version 6.
A Scientific Proof for the Validity of the Bible Codes PDF file Moshe Aharon Shak has put together a 6-page paper outlining the methodology he used to create the Washington Sniper matrix and Israeli Elections matrix. Both of these matrixes were done BEFORE THE FACT and accurately showed what took place. Even if you are not a Bible coder yourself, and merely a casual reader of the work of others, this paper's methodologies will help you by giving you a framework to judge whether the coder uses good methods.
New Revised Israeli Election of January 2003, Bible Codes Matrix by Moshe Aharon Shak of Canada (January 24, 2003) Moshe has expanded the January 9 article with a 2-page Postscript and new expanded matrix and matrix report. The Israeli election is scheduled to occur on January 28, 2003. PDF file.
Israeli Election of January 2003, Bible Codes Matrix by Moshe Aharon Shak of Canada (January 9, 2003)Moshe has endeavored to do and make public this Bible code matrix, BEFORE the coming Israeli election in 3 weeks. Oftentimes, skeptics have said, "Well, I don't see many matrixes done before the fact." Here is one example of a predictive matrix. Whether Moshe is shown to be right or not, we who work in the Bible codes will learn from it. Newly modified on January 16, 2003 to fix Annex A where the Hebrew had gotten mixed up. Also added two polls graphics. PDF file.
Malvo Identified as Shooter in the Bible Codes by Moshe Aharon Shak of Canada (January 8, 2003)In part 2, Moshe has revealed previously developed findings that showed that Lee Boyd (John) Malvo was the shooter in multiple shootings in the Washington D.C. area murders. He had developed these findings from the Bible codes BEFORE the information was publicly announced on TV and in newspapers. PDF file.
Washington D.C. Area in Fear Bible Code paper by Moshe Aharon Shak of Canada UPDATED (January 8, 2003)Originally online November 29, 2002. Moshe has found and developed a wonderful matrix paper on the recent snipers in the Washington D.C. area which includes known information on the suspects Muhammed and Malvo. The paper also includes speculative information about a tie-in with Iraq and sympathy for the 911 terrorists. The matrix is in PDF and in color (1.3mb). The statistical significance is far beyond chance. In order to facilitate understanding, Moshe has many sub-matrixes to break down the findings into more easily understood chunks. Added entire matrix view & matrix report at the end. PDF file
A Look At Rock Music by Bill DePace (March 31, 2002)Bill is a Christian schoolteacher who has taken a look at Rock Music and it's possible effects on people. There is also an article after the Bible code matrix section.
Breast Carcinoma (cancer) Matrix by Dr. Asali Zaki (January 7, 2002)Dr. Asali takes a look at breast cancer in the Bible code. A compact matrix that is significant.
Anthrax Article and Bible Code Matrix by Dr. Asali Zaki of Israel (November 7, 2001)A very good introductory article on anthrax and a compact Bible code matrix showing anthrax in the codes.
The Big Bang & Creation? by Dr. Asali Zaki of Israel (October 25, 2001)A kabbalistic view of the creation of the universe as explored in the Bible code. This matrix is not too significant statistically, so it doesn't prove the case; but Dr. Asali has written an excellent article that you'll find very interesting.
World Trade Center attack on September 11, 2001 by Roy A. Reinhold, webmaster (September 25, 2001)A tragic event took place on 911, where many hate-filled terrorist teams took over airliners and flew them into both towers of the World Trade Center in New York City, plus the Pentagon building in Washington DC. This matrix has many sentences and is an extremely significant matrix from a statistical view. We extend our sympathies to the families of the victims, both on the ground and on the airplanes. The American people are now wide awake to the threat of terrorist events from the same people that have planned and carried out a number of attacks against the USA in the past 8 years.
Melchizedek and Yeshua (Jesus)? matrix Part 2 with long terms by Cindy Marcell of MN (August 5, 2001)Partially snooped by Roy A. Reinhold with Dr. Nathan Jacobi, and Walter York. The result is very long terms that are complete sentences; a 40-letter term, a 35-letter term and more. This matrix is just the tip of the iceberg regarding very long terms in the Bible code. The statistical odds are phenomenal. The matrix shows the case that Melchizedek and Yeshua (Jesus) of Nazareth are the same person. View part 1 below before viewing part 2. The matrix is large due to the long terms (580k in GIF) so the page will take a little time to download.
Melchizedek and Yeshua (Jesus): Are they The Same Person? matrix by Cindy Marcell of MN (July 4, 2001)A highly significant Bible code matrix that explores the question of whether Melchizedek and Yeshua were the same person. Melchizedek was an enigmatic individual sparsely mentioned in both the Tanach (OT) and New Testament of the Bible, but at the same time a person spoken of in a very different way than as an ordinary human. In the article is also an excerpt from the Dead Sea Scrolls that speaks of Melchizedek. Presented from a mainstream christian view.
Revised and Expanded matrix on Hillsborough England Football Disaster by Will Register of England (June 1, 2001)Will has spent some time developing his Hillsborough matrix from that posted here in February. He now has broken out cluster views in order to help the viewer see the relationships and proximity of related terms. Developed and explained by a person present at the April 1989 fan tragedy which caused 95 deaths, the matrix shows what happened that fateful day. Tragically it shows what insanity sometimes is present at a major sporting events, mostly at soccer and rugby matches around the world.
An Introduction to Pinpoint Code Matrices -- The 70 AD Siege of Jerusalem (gif) by Walter York (May 12, 2001)Walter introduces the pinpoint matrix theory with a practical example, the Roman attack and destruction of Jerusalem in 70 AD. Besides being an excellent matrix, he explains what a pinpoint matrix is and how others can do the same thing. A 3-part article; go to part 2, or go to part 3.
The Shroud of Turin, part 1 (gif) by Dr. Asali Zaki of Israel (March 21, 2001)A profound look at the Shroud of Turin , with accompanying article. While there are people on both sides of the issue on whether the Shroud is genuine or not, this 2-part study may tip the balance for you. Go to Part 2.
Kidney Colic--Renal Colic (Kidney Stones) Matrix (gif) by Dr. Asali Zaki of Israel (March 7, 2001)Dr. Asali Zaki finds evidence for Kidney Colic (stones) in the Bible code. Besides being of medical interest, the matrix is visually appealing. This whole process of investigating diseases and sicknesses in the Bible code, may be one of the most fascinating and potentially rewarding of all code research areas.
Matrix on Hillsborough England Football Disaster (gif) by Will Register of England (February 14, 2001)Developed and explained by a person present at the April 1989 fan tragedy which caused 95 deaths, the matrix shows what happened that fateful day. Tragically it shows what insanity sometimes is present at a major sporting events, mostly at soccer and rugby matches around the world.
Matrix on BSE--Known as Mad Cow Disease (gif) by Dr. Asali Zaki of Israel (February 12, 2001)A nice looking and significant matrix on Bovine Spongiform Encephalopathy (BSE) which is thought to directly lead to Creutzfeld-Jacob Disease in humans. While this disease is primarily in England, all of Europe is concerned after finding a few affected cattle in Germany and other countries. The matrix is compact with numerous telling terms.
Matrix on the Revelation with Very Long Term Lengths (gifs) by Walter York of USA (February 9, 2001)The center term in this matrix has 54 letters, which is far longer than any I have seen or heard about by anyone. The topic of the matrix is the antichrist and false prophet from the book of Revelations. This is an extremely significant matrix.
Matrix on the 2000 Presidential Election Done Prior to the Election (gifs) by Messianic Missionary Patrick Lumbroso (February 5, 2001)Although Patrick did the matrix before the election showing that Bush/Cheney would win, we withheld it until after all events related to the election had transpired. This decision was due to ethical considerations. A very significant matrix.
The Resignation of Ehud Barak as Prime Minister in Israel (gif) by Dr. Asali Zaki of Israel (December 13, 2000)A matrix on Ehud Barak's resignation as PM on Saturday, December 9. It sort of brings up the idea of perhaps doing another matrix on the upcoming election in 2 months?
Who is the Wonderful Counselor, the Prince of Peace? (gif) by JW Embry (November 8, 2000)An application of titles for the coming Messiah in a matrix, and whether these titles apply to Yeshua (Jesus).
Intifadha--Middle East in Crisis matrix (gif) by Dr. Asali Zaki of Israel (October 19, 2000)The recent crisis in the Middle East has grabbed the attention of the world, with its seemingly senseless killing of people. Dr. Asali has delved into the Bible code to examine the current situation.
Cloning Research matrix (gif) by Dr. Asali Zaki of Israel (September 2, 2000)Two different views of the same matrix and an excellent presentation of the subject of cloning and its appllication to humans. Extremely significant matrixes about a subject that engenders some fears of abuse, while promising the potential of cures for diseases and allowing conception for infertile couples.
Russian Submarine "Kursk" matrix (gif) by Dr. Asali Zaki of Israel (August 21, 2000)Matrix shows the end result of the recent tragedy in the Barents Sea, where the Oscar II submarine Kursk, suffered a catastrophic explosion leading to the loss of all life onboard. We mourn the loss of life with the people of Russia. At the bottom of the page is a more fully developed matrix using the same information as Dr. Asali, done by the webmaster (Roy A. Reinhold). Take a good look and I am sure you'll see that it answers a number of questions.
Camp David Middle East Summit (gif) by Dr. Asali Zaki of Israel (August 1, 2000)A significant matrix on the recent Middle East summit at Camp David hosted by the USA. The matrix shows the failure of the process. However, from Bible prophecy we know that there will be a future successful peace treaty in the Middle East.
Unity of God matrix (gif) by Victor Pereira of Portugal (May 16, 2000)OK, it's light on depth, but it looks good!!
Leukemia matrix (gif) by Dr. Asali Zaki of Israel (May 11, 2000)A good start on the subject, but statistically a minor matrix.
Human Genome Project (gif) by Dr. Asali Zaki of Israel (April 18, 2000)Statistically significant matrix and nice graphics on the Human Genome Project and Celera Corp. progress.
Pope's Visit to Israel & Jordan matrix (gif) by Dr. Asali Zaki of Israel (March 29, 2000)A matrix that highlights the Pope's visit to many sites in Jordan & Israel, from March 20-26, 2000.
Alzheimer's Disease matrix (gif) by Dr. Asali Zaki of Israel (March 19, 2000)A matrix on the old-age disease that strikes many very elderly people, with degenerative brain symptoms.
Life Matrix on Radio/TV Host Sid Roth (gif) by Roy A. Reinhold (March 3, 2000)Challenged by the host, Sid Roth, on claims of life matrixes in the Bible code, this very significant matrix was developed in a short time to answer the challenge. It is a large matrix with a large matrix report, so the page will take a little time to download, be patient, it is well worth it. I've also decided to use this matrix as a learning tool to teach others all the lessons I've learned from doing life matrixes. After viewing the matrix and matrix report here, go to the articles section of this site for a 3-part detailed analysis. (note: I don't have all the answers, but I believe I have some of them :-)
Armenicum, the Aids Cure? matrix (gif) by Dr. Asali Zaki of Israel (February 22, 2000)A matrix on an aids cure discovered in Armenia, using Armenicum. [Note: We on this website don't say that this is "the" cure, but Dr. Asali Zaki in Italy feels that it may be the antidote.]
A Matrix About the Dark Side (gif) by JW Embry (February 19, 2000)The topic of the matrix is Lucifer and Satan, and shows that they are one and the same being. It dispels lies and confusion over the matter. An excellent matrix.
Justice, Judgment & Jubilee in 5760? matrix (gif) by Victor Pereira (February 18, 2000)Another beautifully done matrix by Victor. Like the matrix below, there is also the possibility that the matrix shows Jubilee in 5765 instead of 5760. Read the comments at the end.
Year 5760 matrix (gif) by Victor Pereira of Portugal (February 18, 2000)A beautifully done matrix by Victor. It presents a possible portentious message to the world. Read the analysis at the end to find out why it may also show 5766 instead of 5760 (2005/6 versus 1999/2000).
Cloning Dolly the Sheep matrix (gif) by JW Embry (January 17, 2000)The matrix on cloning is well done, showing all the relevant information about the cloning of Dolly the sheep by the Roslin Insititute in Scotland.
Diabetes matrix (gif) by Dr. Asali Zaki of Israel (January 4, 2000)Another matrix on a topic of medicine by Dr. Asali. The hope is that the Bible code may reveal cures for diseases in the future as we learn more and develop our capabilities.
Penicillen matrix (gif) by Dr. Asali Zaki of Israel (December 4, 1999)A look at whether diseases and cures may be in the Bible code. We hope there is more effort in this area of codes research in the future.
The Beatles (gif) by JW Embry (November 22, 1999)A nice matrix on the Beatles, with accompanying pictures.
Jesus the Messiah (Yeshua haMashiach) (gif) by Victor Pereira of Portugal (Nov 17, 1999)A beautifully done matrix on Yeshua as the true & genuine Messiah from the Torah.
Covenant of the Commandments matrix (gif) by Dr. Asali Zaki in Italy (November 11, 1999)A matrix on the 10 commandments given at Mt. Sinai (Mt. Horeb) to Moses by God on 2 stone tablets.
The Sphinx in Egypt (gif) by Dr. Asali Zaki in Italy (October 15, 1999)An initial look at the Sphinx, in the Bible code, to determine when it was built.
The Pyramids: Part 1 (gif) by Roy A. Reinhold (October 10, 1999)Part 1 of a research project to answer 3 questions. Who built the pyramids? When were they built? And, do the Giza Plateau pyramids correspond to the 3 stars in the belt of Orion constellation? Part 1 introduces the story behind the research and gives a simplified matrix that sets the stage for answering all 3 questions.
Nuclear Accident in Japan (gif) by Dr. Asali Zaki in Italy (October 5, 1999)An unfortunate accident that qualifies for the Darwin Award (people whose actions are so incredibly stupid, that they are attempting to remove themselves from the gene pool of the planet).
Taiwan Earthquake of 9/21/99 (gif) by Dr. Asali Zaki in Italy (September 25, 1999)Severe earthquake in Taiwan in the Bible code.
Hurricane Floyd matrix (gif) by Dr. Asali Zaki in Italy (September 17, 1999)A look at hurricane Floyd in the Bible code. We were lucky it didn't do a lot more damage.
Israel & PLO Peace Accord (gif) by Dr. Asali Zaki in Italy (September 5, 1999)Matrix on the Sharm el-Sheikh peace accord between Israel & the PLO. It's an interim aggreement giving 11% of the West bank to the PLO by January 2000.
Lady Diana matrix (gif) by Kevin Acres of Australia (1999)A complete 43-term matrix on the tragic events surround the death of princess Diana in 1997. With the final French accident report just released, the details in this matrix, hidden 3000 years ago in the Bible code, are another corroberation of the value of the Bible code to us today.
Earthquake in Turkey matrix (gif) by Dr. Asali Zaki in Italy (August 19, 1999)Matrix on the terrible 7.8 scale earthquake in Turkey near Istanbul.
Eclipse of the Sun matrix (gif) by Dr. Asali Zaki in Italy (August 8, 1999)Matrix on the August 11, 1999 eclipse of the sun.
The Atlanta Georgia killer, Mark Barton (gif) by John deHaan of Canada (August 1, 1999)A matrix on the tragic killings of a dozen people in Atlanta.
Preliminary Matrix on the Tragic Crash of JFK Jr (gif) by John deHaan of Canada(July 17, 1999) A first-look matrix showing the tragic death of JFK Jr.
Holocaust...5760...the End (gif) by Victor Pereira of Portugal (June 27, 1999)A beautifully crafted matrix with a possibly ominous message for mankind.
Hate...5760...to the Fire (gif) by Victor Pereira of Portugal (June 27, 1999)An elegant and artistic matrix on a possibility for 5760 (2000).
Nuremberg Trial of Nazi leaders (gif) by Dr. Asali Zaki of Italy (July 20, 1999)New expanded revision. Shows an interesting aspect of our recent history, at the end of WW2 and ties it into the 10 sons of Haman.
The End of All Flesh Cryptogram matrix (gif) by Victor Pereira of Portugal (June 13, 1999)An artistic and beautifully done matrix.
God and Jesus are One matrix (gif) by Victor Pereira of Portugal (June 13, 1999)Another beautifully done matrix by Victor.
Ehud Barak's election as Prime Minister (gif) by Dr. Asali Zaki of Italy (May 18, 1999)Matrix done 30 days prior to the election that showed Barak becoming Prime Minister.
Ehud Barak election as Prime Minister (gif) by anonymous (May 18, 1999)Matrix done two weeks prior to the election that showed Barak becoming Prime Minister.
Littleton, Colorado Shootings (gif) by J.W. EmbryTerms related to the April, 1999 shootings at Columbine High School.
Kosovo/Serbia matrix (gif) by Asalli Zaki from ItalySome terms that may relate to the present NATO action in Kosovo.
Dead Sea Scrolls (gif) by Asalli Zaki from ItalyTerms related to the Dead Sea Scrolls from Qumran.
Rabbi Joseph Teomim (gif)From the Great Rabbis experiment in the book of Genesis.
Arsenic by Kevin Acres from Australia (gif)Terms related to arsenic.
Desert Storm war (gif)A small matrix on the 1990/1 war.
The Lord is God matrix (gif) by Victor Pereira from PortugalCenter term and surrounding terms about God.
Nairobi Embassy Bombing (August 1998) (gif)27 terms with some appearing multiple times. Used on the TV program, Secrets of the Bible Code Revealed, although they only showed part of it. Names, dates, time of bombing, truck bomb, type of truck, etc. This is an example of a valid Hebrew codes matrix.
Hydrocarbon matrix (gif) by Kevin AcresSmall matrix on use of hydrocarbon products.
Large Hydrocarbon matrix (gif) by Roy Reinhold & Kevin AcresUses of oil & oil products, 14 terms
Tutorial2000c (211k, PDF file requires free Adobe Acrobat reader & plug-in for your browser)A 35-page Tutorial written for the CodeFinder: Millennium Edition codes software program. However, it has sections which are helpful to everyone; including, Guide to Hebrew Letters, Transliteration Guide, Learning Enough Hebrew to Get By, new Hebrew Vowelization Marks (nikud) Guide and Preparing GIFs & JPGs for the Web. The 3 Lessons are specific for the CodeFinder program.
Lesson 1 matrix and matrix report done using the Tutorial
Lesson 2 matrix and matrix report done using the Tutorial
Lesson 3 matrix and matrix report done using the Tutorial
We now have printable sheets to make flash cards for learning the Hebrew alphabet letters courtesy of Michael J. Harris. The 145kb zip file has 4 letters per sheet and also the names of the letters to print out on the back side. All are in GIF format. If you have heavier stock for printing, they'll make better flashcards. Download the zip file.
Unbiased Comparison of All Hebrew Bible Code Software Programs. Compares all Bible codes software programs for the PC (some old and slow DOS programs not evaluated).
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