Statistics and the Bible Codes
Could the Bible Codes be there by chance?
September 16, 1999
By the Staff of thebiblecodes.com
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The recent paper by Brendan McKay and friends is absolutely no threat to the validity of the Bible Codes phenomenon. The evidence for hidden codes in the Hebrew Tanach is now greater than ever. |
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This article covers: |
The Controversy
Many
people have asked us about the paper that was finally published in
"Statistical Science" this month. It is a refutation to the earlier
paper entitled "Equidistant Letter Sequences in the Book of Genesis,"
by Doron Witzum, Eliyahu Rips, and Yoav Rosenburg (referred to as WRR). That
paper was published in 1994, in the same journal. It is the one that is
mentioned right away in most books you'll find on the codes, and was the first
major statistical work done on the codes.
This paper was ignored by the media, just
like every evidence for the Bible is, and was never even mentioned. It got most
of it's attention when The Bible Code by Michael Drosnin came out in
1997. That is when the phenomenon exploded, because of the popularity of that
book. As you'll find mentioned all over at this site, we think Mr. Drosnin's
book is one of the weakest on the codes, and that's the reason why it's the only
one that the media would mention.
ABC News, among others, quickly
jumped on the chance to report that a rebuttal to the 1994 paper had been
published by the same journal. The article can be found at: http://abcnews.go.com/sections/science/DailyNews/biblecode990910.html
The actual
paper can be read at (you'll need the Adobe Acrobat Reader):
http://cs.anu.edu.au/~bdm/dilugim/StatSci/StatSci.pdf
Please read the rest of our
article before going to those links. Like most of ABC's news articles on
Christian topics, you'll need to read to the very bottom to find the truth. The
opening line, "An international team of statisticians is debunking the
controversial “Bible code,”..." is very deceiving. That
"international team" consists of 4 independent statisticians from
Australia and Israel. Brendan McKay is from the Australian National University,
and Dror Bar-Natan, Maya Bar-Hillel and Gil Kalai are professors at
Jerusalem’s Hebrew University. (Throughout the rest of this article, and
around the internet, they are referred to as "MBBK"). Their paper is as
controversial as the original was. The media and the authors of the paper would
like to try and convince you that all of the scientific community is in
agreement--that is a lie (as you'll see in a bit). The paper was written back in
May, and published on the web in June. We published a brief reply to it on June
13, at our news page. The 45-page report was not published in Statistical
Science until this month.
The Use of Statistics
First of all, as many readers of this
article will be new to our site, it is important to clarify our position on the
use of statistics to determine the validity of the codes. Dr. Barry Simon, the facilitator
of the "Mathematicians Statement on the Bible Codes," (which
you'll see later), told our webmaster that statistics cannot be used to
determine whether or not the codes were significant. That means - they
can't be used to prove "the codes are significant," but they also
can't be used to prove "the codes are not significant." He said there
was no real a priori. This is one of
the major flaws of MBBK's paper.
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"Statistics cannot be used to determine whether or not the codes are significant." |
None
of us at this site are mathematicians, so we are usually convinced by every
technical paper we read, for or against the codes. Our first impressions were
that MBBK's paper did a good job of rebutting WRR's original paper of 1994. We
believe that MBBK's paper was a successful attack on WRR's method, but a
worthless attempt at refuting the phenomenon as a whole.
WRR's paper concluded:
Statistics can prove that the
ELS codes in the book of Genesis are significant.
The rebuttal (MBBK's paper), successfully (in our opinion) concludes:
WRR's method of statistics was
shaky, and their method does not prove that the codes are significant.
Then, McKay's paper tries to, but miserably fails to conclude that:
Statistics show that the codes
are not significant.
The codes in the Bible can be
duplicated by other books.
The Bible Codes are a phenomenon
of pure random chance.
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We believe MBBK's
paper is a successful attack on WRR's method, |
|
From Doron Witzum's Website |
| McKay et al. submitted an article to STATISTICAL SCIENCE. We intend to respond to their paper in detail. However, in the meantime we want it to be clear that this paper is false, using false and distorted data and dishonest arguments. We enclose now our response on one outrageous claim of theirs that we broke the agreement that was agreed upon with Professor Diaconis. To read it, click here. Uncovering the dishonesty done by them in this issue may lead to one conclusion: one can't trust anything in their paper without checking it personally. |
Doron's claims do have much merit in our mind, considering that the MBBK paper is filled with accusations, and lacking in supporting evidence. Also, WRR has gained support from some of the world's finest mathematicians, as you'll see later in our article. So while we are temporarily satisfied with MBBK's paper, we will wait for WRR's response to come to any conclusions. Here is a brief excerpt from Witzum's brief initial response to the "outrageous claim" mentioned above:
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Excerpt from Witzum's response to the "outrageous claim" |
| If so, why are MBBK hiding the relevant information, and in its stead, raising accusations that have no basis? It seems that they have no trust whatsoever in their other claims. At any rate, if we might use Dr. McKay's own words quoted above from his letter to Galileo, "This attests to their lack of integrity." |
Another important
concept to grasp, is that 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.
"We proved it."
"No, your math was wrong. We
proved the opposite."
"No, your math was
wrong."
"Yeah, well you are mishandling
the data."
"No, you're mishandling
and obscuring the data."
In the mean time, the rest of us
non-statisticians out there can only watch, and pick sides when it comes to the
stats. There is something simple than anyone can do, that doesn't even involve
math, to test the codes. We'll get to that later. 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. We have a tremendous deal of respect for
WRR, because of their
pioneering work, and all the criticism and accusations they have taken. We do
have one disagreement with them (about what is and what is not significant, and
how to go about proving that), which will be addressed in a bit.
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Even if the MBBK paper successfully refutes WRR's paper, that does no harm to the codes. |
We are not mathematicians, but we are fully capable of using simple knowledge, and our experience with the codes. There is one major error in all of the statistical work, both for and against the codes.
The Error is at the Start
There
is an error right from the start, in every statistical test done on the codes.
This error makes all of MBBK's work, all of WRR's work, a lot of the work by
some Christian codes proponents, all of the work by Dr. James Price, and every
other scientific test done on the codes that we know of, in error. The mistake
is in the structuring of the codes. This is also that one disagreement we had
with WRR, that was mentioned above.
Let's start with WRR. Their original
experiments dealt with word pairs.
Finding related words such as "hammer," and "anvil" (two
bones in the ear) in close proximity to each other. We can tell you from our experience, that this could
happen by chance. It could happen many times by chance in any big book. WRR was quick to find that
out. They then had their experiments expanded, however, much of the statistical
work was still done on just a few related words being found encoded in close proximity
to each other. Their method of statistics concluded that this was significant,
and could not happen by chance.
We are not mathematicians, but from
our own researching experience, in both the Hebrew Tanach and control texts, we
can tell you that a few related terms can be found together by chance.
For example, we took the terms "Yeshua," "Messiah," and
"Savior," (4, 4, and 5 letters in Hebrew), and ran a search in
the Hebrew version of War and Peace. The matrix below is an example of
many simple 'codes' that were found. "Savior",
shares a letter with "Jesus", as well as
the other "Jesus". "Messiah",
runs perpendicular to "Savior". This
is found by chance. Click the matrix to see the results, and find out why
this is not a significant code finding.

The point to
this, is that we are saying, and agreeing with the skeptics that code findings
with a few short related terms found in the same area are not
significant. Many of the codes found in the WRR experiment were like this, so
without having a dozen years of mathematics in college, we can tell you that
those are not significant. It's simple logic. If the
code can be found in any text similar in size, it's by chance. So if
their statistics say they were, then their method was in error. However, a lot of
the codes they have reported are significant, but those were not in the
original 1994 paper. Most of the significant codes in the Bible have been
found in the last 2 years.
| Most of the significant codes in the Bible have been found in the last 2 years. |
Why the MBBK Paper is No Threat to the
Codes
The
MBBK paper rebuts only the 1994 WRR paper. They
say those codes were not significant, and they may be right. The problem that we
have with all of this (as stated before as an attention grabber), is that MBBK's
paper is a successful attack on WRR's method, but a worthless attempt at refuting the phenomenon as a whole. It
does a good job of answering those small, insignificant codes, and showing that
those cannot be significant. However, people who have visited this site know
that you won't find any of those types of codes at our site (unless it is noted
that the code may not be significant), even though we have
hundreds of code findings displayed. The real Bible codes are the codes that
consist of complex matrixes. Complex matrixes involve usually over a dozen words
(we've had some with up to 70 terms), that all relate to each other, and all are
found in a fairly compact area. Many of the words, are not words that can be
found just anywhere. These types of codes (complex code matrixes) are what we
call "significant" codes. There are hundreds of significant codes that
have been found in the Bible, and we know there are thousands that have yet to
be found. The significant codes (which you won't find in WRR's report, and you
won't find in Michael Drosnin's book) are what make the Bible Codes a real
phenomenon that could not happen by chance..
What disturbs us, is that the media
and the public see that the MBBK paper has successfully refuted the WRR report,
and that Brendan McKay's website successfully refutes Michael Drosnin's report,
and then they say, "The Bible Code has been refuted. There are no codes in
the Bible." That is wrong. The Bible Codes have not been refuted, those
respective works have been refuted. Those respective works are outdated, and
nothing compared to the evidence we have now.
As WRR says, the evidence for the 'Bible Code' is now stronger than ever.
Should Statistics Be Used to Determine if the Codes are Significant?
MBBK and WRR will continue to argue about this for a long time. Nobody has proven either way yet. It is our contention that statistics is not the best method. There is a much easier method, based on the following statement which nobody can disagree with:
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If the codes found
in the Bible are by chance, then |
Anyone can be just as scientific as MBBK and WRR and use the Scientific Method. Set up a "control" to compare the Hebrew scriptures to. Make a list of 15-20 terms that describe a certain event. Search for all of those in the Tanach (Hebrew Old Testament), and then use a control text similar in length, like "Moby Dick". See what you'll find. You'll probably find every term in both texts, but you'll only find a lot of them all together in the Tanach. Of course, this is only for people with Bible Codes software. For control experiments, CodeFinder is the best program. For those of you who are not willing to buy your own software, stay tuned to this site and you'll see a lot of "significant" codes. Remember though, you can never make a conclusion from one simple experiment. Try it over and over again with different terms and topics. The three mathematicians from Hebrew University (the "BBK" in MBBK) have admitted that conclusions should not be drawn from their experiments, and additional experiments are necessary.
Are There Any Mathematicians
That Believe in the Codes?
The
following portion of this document is information taken mostly from Jeffrey
Satinover's "Cracking the Bible Code." Email
for specific page numbers. When reading all of the below arguments, keep in mind
that we ourselves do not endorse the work of WRR. As a summary of comments made
above, most of the codes examined in the 1994 paper appear to us to be
insignificant, and thus whatever method that stated they were significant is
probably in error. However, we, not being mathematicians cannot comment on the
quality of the statistical work done by WRR. Below you will find just who does
support WRR's work. Keep in mind also, that if WRR's 1994 paper was thrown out
by everybody, it would do no harm to the codes, because that paper is nothing
compared to the evidence we have now.
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"The present work, represents serious research carried out by serious investigators. Since the interpretation of the phenomenon in question is enigmatic and controversial, one may want to demand a level of statistical significance beyond what would he demanded for more routine conclusions... The results obtained are sufficiently striking to deserve a wider audience and to encourage further study." -H. Furstenberg, the Hebrew
University |
Remember, to get into Statistical Science,
the paper must be reviewed by several secular mathematicians. The WRR report was very
well done, and drew the attention and respect of the world's finest
mathematicians from around the world.
The
following is a listing of some prominent mathematicians from around the world
who have publicly commented on WRR's report. (Not all of them have endorsed the
truth of the findings, but all have commented on the high-quality of the
research, and by implication, the bona fides of the researchers as well):
First, WRR:
Doron Witzum: the preeminent codes researcher, a mysterious, reclusive,
ultra-Orthodox Jewish Torah scholar described as almost "saintly." Yet
he had been a graduate student in physics specializing in studies of general
relativity--an extraordinarily abstruse and difficult subject. 13 years ago,
having been introduced to the hidden mathematical background of the Torah, he
had left physics to devoted himself full-time to religious studies--and to the
codes.
Eliyahu Rips: considered by some to be the
discoverer of the whole phenomenon. A Lithuanian émigré and world-class
mathematician who had arrived in Israel a fierce atheist (as are the majority of
mathematicians). He held international stature as a group theorist (an esoteric
domain at the cutting edge of both pure mathematics and theoretical physics),
but after coming upon various mathematical structures in the Torah, the codes
among them, he grew religious, and eventually Orthodox. He remains a full-time
mathematician whose piety and involvement in the codes research are a source of
consternation to his more conventional colleagues the world over.
Yoav Rosenburg: a brilliant young computer scientist. Has a tremendous
background in advanced mathematical techniques that can be used to detect, with
great accuracy, "fuzzy" signals in a sea of static. He was at work in
Israel on his doctoral dissertation in that area, with specifically military
applications.
Supporters of WRR's work, many known around the world:
Harold Gans: A senior codebreaker at the US Department of Defense, a man
who for more than 25 years worked at the National Security Agency, making and
breaking codes for American intelligence. Using his own computer program,
replicated the Israeli results and then took them a step further. And Gans had
set out to prove that the Bible code was a hoax, that it was ridiculous, that it
was crazy. And instead he proved that it was real. Today, Gans still believes in and supports the work of WRR, although he is retired from
the U.S. Government.
Ilya Piatetski-Shapiro: one of the
most famous mathematicians in the world, at Yale University. He is widely
considered one of the world's finest mathematicians. He was quoted as saying,
"If Rips was involved, you may be certain that there is no problem with
the mathematics."
David Kazhdan: chairman of the Department of Mathematics at
Harvard, was quoted as saying in a 1996 newspaper interview, "The
phenomenon is real; what it means is up to the individual." Mr. Kazhdan is
now more tentative, and remains undecided, but says he is still open-minded.
Robert J. Aumann: the most famous mathematician in Israel. Now at
Hebrew University, and a member of both the Israeli and the United States
academy of sciences, told the Israeli Academy of Sciences that the 'Bible code'
is an established fact. No one has a closer knowledge of the experimental work
that Dr. Rips has done than Dr. Aumann. He supervised the gathering of the
material and the carrying out of the experiment as an independent observer over
the course of many years. Note, Brendan McKay claims that Professor Aumann now
says that he is undecided on the codes. We were unable to find proof for or
against McKay's claim.
Persi Diaconis: a prominent and highly respected statistician
in the Department of Mathematics at Harvard who after reviewing the work, was
unable to find the flaw that he expected to be there. He had himself devised an
extraordinary elegant method to reanalyze the Israelis' data in place of more
conventional methods. WRR used his very method to substantiate their findings.
Persi is a fierce skeptic just because he believes the idea of codes in the
Bible is ridiculous, but he has not challenged the work of WRR to our knowledge.
Gerald Schroeder: another physicist with an impressive career
behind him. Long at MIT, Schroeder had subsequently worked for the United States
Department of Defense, the Atomic Energy Commission, and the United Nations. He
had been part of the team that developed the means for detecting clandestine
underground nuclear explosions and personally owned the patent for the device
used to detect and measure the intensity of airborne radioactivity. After
publishing more than seventy scientific articles, he, too, left it all to come
to Jerusalem where he lectures to people from all over the world about the
interface of science and religion.
Professor Daniel Michaelson: another mathematician in the
circle of codes researchers (in fact, he had helped develop the field).
Michaelson maintained appointments both in the Department of Mathematics at UCLA
and the Hebrew University in Jerusalem. He, too, began as a severe skeptic, but
eventually became convinced that the codes are real. Like Rips, he left behind
his secular life to assume the ways of the ancient tradition.
Robert E. Kass: editor of Statistical Science at the
time of the '94 WRR paper. Chairman of the Department of Statistics,
Carnegie-Mellon University. Said, "Our referees were baffled: their
prior beliefs made them think the Book of Genesis could not possibly contain
references to modern-day individuals, yet when the authors carried out
additional analyses and checks the effect persisted. The paper is thus offered
to Statistical Science readers as a challenging puzzle." Note
that Robert does not support or endorse the work of WRR, and he now supports the
new paper by MBBK.
Dr. Andrew Goldfinger: a senior physicist at Johns Hopkins
University, and number two man at the Space Computer and Technology Group there.
Goldfinger was also past chairman of the International Society for
Photogrammetry and Remote Sensing. He has reviewed and now endorses the work by
WRR.
The Mathematicians On the
Other Side
To be fair to the other side of the
debate, it should also be noted that over 50 "math experts" have
signed a petition saying they were not convinced by the 1994 WRR paper. That
petition can be viewed here,
and our reply to it, here.
The truth is, that
most of the mathematicians in the world who are aware of the phenomenon, reject
it. However, we believe there are several reasons for that, that should not be
legitimate reasons.
Why Most Scientists Reject the Codes
Below are several reasons why we believe the majority of scientists have rejected the Bible Codes:
1. They have only reviewed the WRR 1994 paper,
which is outdated. They reviewed it, were not convinced, and dismissed the
phenomenon as a whole and have refused to look at any "nonsense about the
codes" since. Thus, they have failed to see the real codes. Where are they
going to hear about them? Not from the media, and they won't read books on the
codes...maybe this website?
2. Just like the Creation/Evolution topic. Although the majority of adult
Americans believe the world was supernaturally "created," most
scientists believe it was all a happening of chance. Why? "Science"
means knowledge, and "scientist" is a word that describes
someone who wants to know--or have an explanation for everything. That is
the ultimate goal of science--to be able to explain everything around us,
including how it all got there. The supernatural concept to most
scientists, is insulting. They don't want to believe in God, they don't want
to believe there is something they can't explain. The "Big Bang"
theory has exploded, and been formally rejected by most scientists by the way
(although you won't hear about it on the news). A new theory now comes out every
month. None of them can explain the start of the universe. The big bang says
everything was condensed into an "infinitesimal region" (which means
"dot")... and that exploded, and there was the universe. What they
don't realize, is that they can't explain where that dot came from. The Bible
says, "In the beginning, God..." and science tells us, "In the
beginning, dot...". Which takes more faith to believe in? Yet most
scientists refuse to believe in a supernatural creation, even though they admit
they don't have an explanation for the start of the universe at the moment. The
same applies to the Bible Codes. They don't want to believe in them, so they
don't allow themselves to be convinced. See the Conclusion
to our latest BCFS.
3. Peer pressure. Scientists fear that going against the "community"
will lower their personal status as a scientists. Remember, new discoveries are
normally rejected at first by the scientific community. Galileo was put on house
arrest for stating that the earth was not flat (for example).
Below are some links to pages where you can find out more about Math and the Bible Codes:
Michael Drosnin vs. Brendan McKay:
Read it at our site
An excerpt from a transcript of a radio debate in late 1997. A very lively
exchange,
and some good background information on
the mathematicians involved with the codes.
Breaking Codes Through Mathematical
Sequences: by By Susan
Ornstein
http://www.j51.com/~jrsflw/codes.htm
A good source for background information on the discoveries of Harold Gans.
Scientists Prove Divine Author of Genesis: by Terry Watkins
http://www.av1611.org/genesis.html
A great overview of the 1994 WRR paper, although a little outdated.
Divine Authorship,
by Jeffrey Satinover http://www.vaxxine.com/compcare/divine.eht
An excellent overview on the mathematical background and basis for the codes,
although a little outdated.
Are There Really Codes in the Bible?
There are ELS codes in every text. ELS codes can be found by chance. To this date, a significant pattern of complex code matrixes has been found only in the Bible. That is a fact. There is no reason to reject the "Bible Codes" phenomenon. Below you'll find links to answers to various claims around the internet against the codes.
September 21, 1999
All of the claims below are answered at our Answers
to Claims section.
Dr. James Prices' Work: Dr. James Price runs all kinds of tests on how you can find thousands of words in single chapters, and you can find certain words just as many times in other texts, as you can in the Bible. These tests are true, but they prove nothing. The error again is that he does not realize the structure of the codes.
Lori Eldrige's Work: Lori Eldridge and others say that just as you can find "Yeshua is God," you can also find phrases like "Yeshua is Mean," or "Satan is god." Yes, that is true, but it proves nothing. They do not realize the structure of the codes. Lori was a former believer in the codes. We respond also to her reasons for no longer believing in the codes.
Dr. Brendan McKay's Work: Brendan McKay may be able to successfully prove that so far, nobody has developed a statistical method to show that the codes are significant. However, he tries to go a step further and say that all the complex matrixes found in the Bible, can be found in any book. He appears to have support for this, but it's all based on deception.
Misuses and False Interpretations of the
Codes: Our webmaster has written a paper exposing
all the false interpretations, and alleged purposes of the Bible Codes. He shows
why the false interpretations are false, and what the real purpose is.
Christians Who Don't Believe in the Codes: Many Christians still
do not believe in the codes, and some respected Christian organizations and
leaders have condemned them. Find out why the codes are not divination or
fortune telling, and why God allows us to search for hidden codes in His Holy
Word.
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