Most
involved in online debates about the historicity of the Book of Mormon are
familiar with Nahom, mentioned in 1 Nephi 16:34, though the average Mormon
probably couldn’t even tell you that Nahom is in the Book of Mormon. It becomes
important in online debates because scholars believe they have found the name
and place attested to in archaeology. Reactions from skeptics have ranged from
denying there is any plausible connection to brushing it off as a coincidence. Both sides talk in terms of probabilities that
have never been demonstrated. “The odds that a place by that name would be exactly where the Book of Mormon
says it is are astronomical!” says the believer. “There are so many names in
the Book of Mormon and so many names in the ancient Near East, Joseph Smith was
bound to get one lucky guess!” declares the critic. Both of these statements
need to be tethered in by the data, of course.
It is not
my intention to determine the statistical probability of this just happening by
random chance. I am not a statistician. If anybody with real training in
statistics would like to really explore this question and publish a rigorous
statistical study, let me know and perhaps we could collaborate. What I am going
to do here is try to outline various factors that need to be considered in
thinking about the probability and in conducting such a study. There may be
more factors as well, or a completely different way to frame the study
entirely, for all I know, but these are what come to mind for me. In doing
this, I will make it clear why I think the sentiments expressed by the believer
are closer to the truth.
Number of Verifiable Book of Mormon
Toponyms
First,
there is the issue of not merely how many place names are mentioned in the Book
of Mormon, but how many are potentially verifiable through archaeology. As most are certainly aware, the vast majority
of Book of Mormon toponyms are from the American setting of the text. Critics,
of course, pounce on this fact and scoffingly ask why the only place we think
we can verify by archaeology is in Arabia. “What about the names of all those
American cities?” they ask. Well, like it or not (and I think the vast majority
of us, apologist or critic, does not
like it), every single one of those is
unverifiable. Mesoamerica is the only region we have any writing for, so
that rules out verifying pre-Columbian place names for every place except there
(not a huge problem, since I think the Book of Mormon took place in Mesoamerica
anyway). More serious is that fact that the vast
majority of pre-Columbian toponyms in Mesoamerica are unknown. We have some
lists of Aztec names, and a small handful (out of thousands) of classic Maya
examples, but none from pre-classic times or earlier (the period that generally
overlaps with the Book of Mormon). So the odds of verifying any city names
like Zarahemla, or Nephi, or Manti, are essentially zero, not because we can’t
find those cities or because they are mythical cities made up by Joseph Smith,
but simply because the data that could potentially verify (or fail to verify)
them does not exist, pure and simple.
This
leaves us with only the place names mentioned in 1 Nephi as possibilities.
Those are:
1.
Jerusalem: obviously the biblical city, so verified, but of no evidential
value.
2. Red
Sea: again, obviously the biblical sea of the same name, so verified, but
worthless to our cause.
3. Valley
of Lemuel and River of Laman: these are names given to a valley and river by
Lehi, with no evidence that anyone outside their party knew them by that name.
Hence, at least the toponym is unverifiable (though the place itself may well
have been located in Wadi Tayyib al-Ism).
4. Shazer:
also a name given by Lehi, so the name is unverifiable.
5. Broken
Bow Camp: this location is never named in the text, so there is no name to
verify.
6. Nahom:
likely a pre-existent toponym, given the wording of 1 Nephi 16:34, an
interpretation that has been around since Hugh Nibley (and thus long before
anybody had discovered the name on any maps or altars).
7.
Bountiful and Irreantum: both given by Lehi, and Bountiful is a translation
anyway.
Now, there
are some plausible locations for all of these places, and good etymologies for
Irreantum and Shazer, but that is not the issue here. The issue is whether any of
these places could potentially be verified by name in an inscription somewhere.
Turns out there is only one name in
the whole Book of Mormon that could possibly be verified by inscriptional
evidence, and that one place is
Nahom. What stupid luck, eh?
Hundreds of Names in the Book of
Mormon
Now, as I
mentioned, critics like to use the fact that there are hundreds of names in the
Book of Mormon as means to suggest odds are high that at least one would be right. But that
is not the whole picture here. Fact is, if we are just talking names, a whole
bunch have been verified. Don’t believe,
then just spend sometime perusing the Book of Mormon Onomasticon. A near exact match to Gidgiddoni was announced just this last week. So if verification of names is all we are talking about, then
there isn’t just one to account for. The issue here is that the a place name
has turned up in a place that fits the Book of Mormon narrative. So we are
talking about a place with a name. So what are the odds that a similar name
turns up in a similar place? There are 2 sides to this issue. The first is the
probability of a N-H-M name being in the specific place it is in the text, and the
second is the probability of a N-H-M name being in a specific place in Arabia.
On the
first, there 337 names in the Book of Mormon. 188 of those are unique, the rest
are also found in the Bible. But only a small handful of the biblical names are referring
to the biblical place or person (i.e., Jerusalem, Jeremiah, Isaiah, Babylon, Adam
and Eve, etc.). All the names from Isaiah are obviously not actual Book of Mormon names, and so on. Then
there are some names are names of Book of Mormon places or people, but are also
found in the Bible. We only need eliminate the ones that refer to biblical
places and people, since those are obviously not random. I am too lazy to count
these out, so for convenience, let’s just that cuts us down to 275 Book of
Mormon names, counting both people and places. This might be an over estimate,
it might be underestimate; I have no idea. There is no hard distinction between
toponyms and personal names in the Book of Mormon, and many names are both, so
I am not going to worry about eliminating personal names. Presumably, if the
Book of Mormon is just fiction, Nahom could have just as easily ended up being
a person instead of a place. Of all of those, Nahom is the only N-H-M name in
the whole lot.
Now, if
the Book of Mormon is fiction, unless someone can give me a compelling reason
for why Joseph Smith would use specific names in specific ways, I am going to assume
that its distribution of names is totally random and arbitrary (nothing is
truly random and arbitrary, but the whole point of “probability” is to assess
the odds of something happening by pure chance).
That means, Nahom could have landed anywhere in the Book of Mormon. Ishmael
could have died at Nephi, in the book written by Nahom, or Nahom could have
died at Ishmael, or Nahom could have abridged the record, etc. I think you get
the point. So, assuming the same set of 275 names, the odds that Nahom randomly
shows up 1 Nephi 17:34 as the name of the place Ishmael is buried is, simply,
1/275, or ~.0036 (.36%). Now that fact, in and of itself, is not terribly
remarkable, since we could say the same thing about any of the 275 names. It becomes remarkable only when it seems to
be predicted or coupled with some external phenomena, such as the same or a
similar name turning up as a toponym in Arabia in about the right place.
Also, keep
in mind that this does not factor in the fact that really, if this is just
fiction written by Joseph Smith, there is no reason to assume only those same
275 names could have been used. The possibilities are truly endless once we
open up that can of beans, and I am not equipped to deal with it. But really, we
would need to figure out the odds that one or more N-H-M names would show up in
a set of 275 mostly biblical sounding names is in the first place, and then
from there determine the odds of an N-H-M name landing in its spot in 1 Nephi
16:34. I’m guessing the odds of getting an N-H-M in the 275 name set is fairly
high, so I don’t think it would significantly alter the probabilities here
(which are, I remind you, rough figures anyway).
So, the
odds that Nahom is randomly in the right place in the text to correlate with the
Arabian Nihm is something like .0036. Don’t place too much stock in that specific
number, but it does suggest that the odds we are dealing with are very, very
low.
Hundreds of Names on the Arabian
Peninsula
Now the
other side of the coin. Critics have often pointed out that there are hundreds
of toponyms along the Arabian Peninsula, once again using that large data-set
to argue that the odds of guessing one right are actually pretty high. Some
have also pointed out that there are a lot of N-H-M names around the world, so
odds of there being one in Arabia is high. People making this second argument
have not demonstrated that N-H-M names were common toponyms in ca. 600 BC, but
in any case, sure, I’ll grant that it is highly probable that a N-H-M name
would show up somewhere as a place in
Arabia. The issue is more complicated than that, however, since Nahom cannot be
just anywhere in Arabia. For example,
if Nihm had been in Northwest Arabia, instead of southwest Arabia, or if it had
been on the Persian Gulf side, instead of the Red Sea side, then it would be
impossible to be the Book of Mormon place Nahom. As I already said, Nahom/Nihm
is not simply significant because it is a similar name, but because it is a
similar place. So we need to define some geographic parameters.
The
important factors are that (1) Nihm is along the Frankinscence Trial, on the
southern end of the south-southeast leg; (2) roads turn eastward from Nihm; (3)
it is essentially due east of a plausible setting for Bountiful. While it is
somewhat of an exaggeration to say that Nahom is in “exactly” the right place,
these factors limit the parameters wherein a candidate for Nahom must be. Move
too far north, south, or east, and you lose the relationship to the eastern
turn and (for north and south) Bountiful. Move too far west or south, and you
are too far out of the way for Lehi and co. to travel through along their path.
So, let’s just say we have 50-mile radius where a toponym with N-H-M has be found,
although I think that is overestimating the wiggle room we actually have. We
need to figure out the odds of an N-H-M falling within that radius. To that we
need to know:
1. How
many toponyms are in ancient Arabia
2. How
many of those are within the 50-mile radius
3. How
many N-H-M toponyms there are
On the
first, I have no idea. It would be ideal if we could be more specific and get a
list of, say, all the pre-Islamic tribes and their territories. I am assuming
this will make list smaller than if we go off of, say, the 18th century maps
that are available, and making it smaller of course improves the chances that Nihm
will land within our radius in a random distribution of the names. But it also
decreases the odds of random correlation between an Arabian tribal name and a
Book of Mormon name, just like reducing the number of verifiable Book of Mormon
names reduces the chances that one just coincidentally matches with archaeology. Widening
the data-set increases the chances of there being a random name match, but reduces the odds that the name is in the right
place. Having exactly no data, let’s just choose the number 200 for
illustrative purposes.
I also
have no data on how many of those would fall within the designated radius. One
way to figure this out would be to take one of the 18th century maps, draw a
50-mile radius around Nehhm/Nehem, and then count how many other names fall
within that radius. Again, it would be better if we could just draw on
pre-Islamic tribal territories, but I don’t know if that is feasible. Not even
doing the minimum, let’s just say 20.
Lastly, we
do know how many N-H-M names are in Arabia (pre-modern Arabia, anyway), though some critics act like we don’t, or
claim there are more. Warren Aston has hunted down every map and every
inscription he can find mentioning NHM, and they all point to the same place,
and the same tribe (which has lived in that same place at least since the 1st-millenium
BC). So there is only one N-H-M to consider.
The task
here is to calculate the odds that, if we randomly distribute all the territories
of the pre-modern Arabian tribes, what are the changes the Nihm ends up in our
50-mile radius? If we assume the numbers I made up, the odds are 20/200, or .1
(10%). If we insist on the exact location it is in, then we are obviously
talking 1/200, or .005 (.5%). These are obviously not accurate, because I made
up the numbers, but the point is, again, since there is only one N-H-M toponym
in all of pre-modern Arabia, the odds of it coincidentally being somewhere that just
happens to fit the Book of Mormon narrative reasonably well are not terribly
high.
Convergence Probability
From here,
getting a probability for Nahom in the text converging with Nihm in Arabia
becomes a matter of taking the probability of both landing where they do in a random distribution. Using the numbers
above, that would be: ~.0036 * .1 = ~.000036 (.0036%). This would be an
extremely low probability, well below the standard .05 or .01 necessary for
statistical significance (i.e., for the statistician to confidently conclude
that the relationship is not random).
One
criticism I would anticipate is that looking only at the probability of Nahom
and Nihm, specifically, is “drawing the target after taking the shot,” i.e., I
already know that is the one name
from the Book of Mormon and the one
Arabian name that matches. The real issue is the probability of any Book of Mormon name being randomly
matched to the any name of an actual
place. This would be true if we had a bunch of pre-Columbian toponyms in the
Americas as well, and hence just about any name could randomly be matched with
a geographical location by sheer dumb luck. But we don’t, as I already
mentioned. Nahom is really the only Book of Mormon toponym that could conceivably
be verified by archaeology in the first place. That alone makes it pretty
remarkable that we have a really good match.
What this All Means
None of
the analysis above and the numbers generated really matter, because I made up
most of the data. To be absolutely clear, I
have not figured out the probability that Nahom/Nihm would converge by chance.
What I have tried to do is outline some of the necessary factors that need to
be figured out in trying to assess that probability. There are other factors, I
am sure. I’d also be willing to bet that someone better versed in statistics
than I could expose some devastating flaw here or several. The point I am
trying to illustrate here is that it is a lot more complicated than simply
saying “Oh yeah, Joseph Smith was sure to get at least one lucky guess!” Given the
above factors, and the likely many more than need to be considered, I am
betting we are looking at some pretty dang low odds of coincidence here, but I
could be totally wrong. Until someone actually does the math, we will never
know, and instead have to go off of other methods of inquiry to assess the strength
of the relationship between Nahom and Nihm and whether it indicates a likely
connection between the Book of Mormon and archaeology. Even when using those
methods, though, the issues mentioned here should be considered by persons on
all sides of this debate.
NAILED IT!
ReplyDeleteNeal, that was awesome!
Too often we either celebrate a certain piece of evidence or simply dismiss it, when what we really need to do is *assess* it. And that's exactly what you've done here.
If the NHM find were "exactly" where the Book of Mormon says, the Book of Mormon would have to say something truly exact about where Nahom was, which it doesn't, and LDS scholars would have been looking for Nahom in this very place *before* the NHM altar was found. On the other hand, it doesn't even begin to do justice to the Nahom connection to simply wave one's hands (ala Jenkins) and say, "With so many names, Joseph Smith was bound to get something right."
Nahom is the *one* Old World Book of Mormon location, besides Jerusalem, for which we have a pre-existing name. A matching place has been found that's in the right area and would have been there at that time. This is clearly relevant as evidence on the question of whether the Book of Mormon fits the ancient Near Eastern context in which it places itself.
I agree with you that further work needs to be done so we can assess more precisely what level and quality of evidence the NHM find provides for the Book of Mormon. Such work would, however, only refine the correct *approach*, which you model here--that of seeking to objectively *weigh* the evidence and what it means for the questions we bring to it.
Bravo! More! More!