I've been in touch with Kyler Rasmussen. He's made it clear that he has no interest in bringing his statistical analysis to the teller window to collect $10,000. I've attempted to appeal to him privately with examples where his statistical assumptions are likely to break down, as if we were a team, but rather than consider my examples, he accuses me of not engaging a good faith discussion because I haven't yet looked at all of his arguments. Kyler further says that what I'm proposing isn't feasible or worthwhile, would require (at best) a herculean effort with minimal payoff.
Well, rather than "give up" I'm going to try again. I hope something will connect. If these guys won't do their homework, then moving the Mopologetic enterprise into the hard sciences with statistics to bolster their arguments will surely backfire, making their work even less credible and less relevant than it already is.
Below are 2 reasons why.
First: rule #1 of probability multiplication is that you cannot multiply probabilities if they aren't independent functions
What we see in these astronomical odds arguments in support of Joseph Smith restoring genuine ancient texts by John Gee, Bruce & Brian Dale, and now Kyler Rasmussen, is, at its core, multiplication of many probabilities without ANY effort at establishing independence among those probabilities.
At the risk of being too wordy, the rule is simple: the probability of N "events" happening together is
P(A AND B AND C AND ... AND N) = P(A) * P(B) * P(C) * ... * P(N)
IF AND ONLY IF
A, B, C, ... N are each independent processes.
I've offered $10,000 to Interpreter if Gee, Dales and/or Kyler will do the work to explain/show/demonstrate/argue why and how their N probabilities are independent from one another.
I am not making a pedantic, esoteric challenge here. I'm asking these guys to take their hundreds of pages of analysis and add the rigor, whether with data or with clear logical arguments, of showing that independence. Doing so would have a HUGE payoff (sorry Kyler, you are wrong) for at least two reasons. First, it would qualify you to use probability multiplication in the first place. Second, and more importantly, it will make each of your "event" probabilities, whether Bayesian or something else, qualify as statistically valid data points.
Ahem, for what you're trying to do -- take a near-impossible proposition and show why it's actually mathematically probable -- NOTHING ELSE WOULD GIVE YOU A HIGHER PAYOFF.
This is especially vital for attempts at utilizing Bayesian approaches, like Kyler is doing here. Why? Because each point probability, P(A), P(B) ... P(N) is itself a multiplication of probabilities!!! Because of that,
buried in the components of every one of Kyler's Bayesian point conditionals is one thing: what was and was not in Joseph's mind due to his environment, exposure to books, exposure to stories, exposure to languages, the creativity of his imagination, his intelligence, his charisma, his self-image, and the strength of his memory.
Because of that, which by the way has yet to be addressed in any sort of statistically relevant context by any of Team Bayes, I do agree with Kyler's realization -- that it is not feasible to assert anything statistical about what was and was not in Joseph's mind and therefore it is a waste of time to assert probabilistic assumptions about most of Joseph wrote. But that's kind of my point: if these clowns would even attempt to show the rigor demanded by probability multiplication and Bayesian analysis in the first place, they would immediately expose the uselessness of these probabilistic tools for their purposes.
Second: statistical analysis requires controlling for all information; otherwise you have no basis to assert a valid conclusion
I'm not going to spend a lot of time on this topic, because >60 years of Mopologetics makes it clear that control, control, control is not the goal.
But I will show a graphic, created using a nifty online tool by yours truly.
What Team Bayes are really doing is even more intellectually bankrupt than skipping steps in the operation of advanced statistical machinery. What they're doing is carefully cherry picking data to demonstrate that for N dice rolls, some number close to N turn up "sixes" in Joseph Smith's favor. There may be a few "misses" included for a patina of credulity, but ultimately it's Texas Sharpshooter, as our Dean already pointed out.
Here's the graphic, to illustrate. Notice the "misses" included in the top right corner. This, in very essence, is what Team Bayes are doing.
And now I'm sure Kyler will rush to defend himself, and so will the Dales and Gee. "We look at all the evidence!" they'll protest.
Okay, let's just address the protest preemptively for Kyler then.
What counts as 1, 2, 3, 4 or 5 in this game of high-N statistical dice analysis?
Kyler's premise question: what are the odds of the Book of Mormon being true? And he will start with 1 in 10^40 odds -- near impossible.
And to be sure, Kyler will use all of the "sixes" he can find, plus a few "ones" or "twos" for appearances. But here is the money question: will Kyler include ALL of the "ones" "twos" "threes" "fours" and "fives" he can find? Such as, just for starters, each of the following?
- Odds of building ships and making successful transoceanic journey with the resources at Nephi's (and Jaredites) disposal?
- Odds of fully-developed Christianity existing in the American continent before Jesus was born?
- Odds of an ancient author transcribing passages from Isaiah which had not yet been written?
- Odds the Tower of Babel was an actual historical event?
- Odds that ancient American Indians received dark skin as a curse from God, not through natural genetic inheritance?
- Odds that Joseph of old prophesized about the restoration by Joseph whose father's name was also Joseph, with no written record of that prophecy?
- Odds that Jesus visited America?
- Odds that Hebrew language and Egyptian writing were commonplace in the Americas?
- Odds of millions of armed and armored warriors were killed in battle between 400 BC and 400 AD in the Americas (and not been discovered)?
- Odds of a decapitated man doing a push up and gasping for air?
- Odds of each historical anachronism, including materials, animals, crops, New Testament verses and teachings?
- Odds of 2000 inexperienced warriors fighting in prolonged gruesome battle and not one dying?
- Odds of an ancient compass being used for navigation, before invention of the compass?
- Odds of chariots being made and used by ancient Americans?
- Odds of a temple built and fashioned after Solomon's temple being built in the Americas between 600-500 BC?
- Odds that a translator of one ancient document would fail miserably when translating a second, far shorter, ancient document?
- Odds of Ancient American population growth rates on the order described in the Book of Mormon?
- Odds of crafting a sufficiently hot bellows out of animal skins and other materials found in nature, to make molten ore from rocks?
- Odds of golden plates contained in a readily-accessible stone box surviving undiscovered for >1,400 years on the hill Cumorah?
I invite all of my colleagues to contribute additional questions to help Kyler identify the "ones" "twos" "threes" "fours" and "fives" because unfortunately with his paltry 23 evidences, he's damn sure missing a lot of them.
Kyler, are you considering the likelihood of the miracle stories in the Book of Mormon too? Because, brother, if Early Modern English gets air time in episode 9 (as I'm told will happen), then you have opened up a rabbit hole of evidence that you need to consider? Otherwise, as the saying goes, garbage-in, garbage-out.