Interpretering Bayesian Analysis

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Philo Sofee
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Re: Interpretering Bayesian Analysis

Post by Philo Sofee »

Kyzabee
That's an idealized model, though, and in reality we have to pick our hypotheses and see how they work out. In this case, that would be the broad hypotheses of authenticity and fraud (with the hypotheses becoming more detailed as needed to fit the context of a given analysis). If a piece of evidence is expected under authenticity and not expected under fraud, then authenticity gets stronger and fraud gets weaker, and it works the same way the other direction.
Excellent, and as you so properly grasp, this is an extended discussion, so it will take time, and no one is forcing you to hurry. I, for one, am thrilled you are here, and sharing your Bayes analysis with us. Don't be overwhelmed by all of us at once coming at you with questions. Carry on your analysis, and we can take each point at a time. There is always going to be adjusting, learning, and calculating and re-calculating.
No one is rushing you, and it appears overwhelming, please don't let it be. I think we are all excited that finally we can have a good and friendly and constructive conversation here on this topic.
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Dr Moore
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Re: Interpretering Bayesian Analysis

Post by Dr Moore »

kyzabee wrote:
Sat Jul 24, 2021 6:43 am

"proper application of the tools you’ve chosen cannot be made within the rules of the art"

People like Carrier would seem to disagree…
Appeal to authority. (not even a very good one)
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Gadianton wrote:
Sat Jul 24, 2021 3:12 pm
Kyler,

I don't want to overwhelm you as there are so many directions to come at this from and several folks interested in what you're doing, and so I'm going to restrict myself to one question for you today.

You've fundamentally followed the path of the Dales, of multiplying a string of improbabilities in order to get to numbers so big (or small) they are rarely talked about in the real world. That alone should be a red flag that you're doing something wrong. But if that's not a red flag, consider the following thought experiment:

Kyler Rasmussen is born a few decades prior to his actual birth, and discovering critics and apologists in the seventies. He learns about Bayes and goes down the same path of assessing the evidence of the Book of Mormon. He decides before the fact that 10 ^ -42 is the number to beat. However, because it's the seventies, Chiasmus haven't been discovered yet (I don't think) nor has Uto-Aztecan origins by renowned philologist, Brian Stubbs, and neither has the 15th century text been discovered and so the Kyler Rasmussen of this timeline only has 20 pieces of evidence. Suppose today's Kyler Rasmussen beats the 10 ^ -42 odds but not by enough to impress absolute certainty upon the critic. That implies that our alt Kyler Rasmussen would miss by quadrillions to one or worse. Would alt Kyler Rasmussen admit defeat --- would alt Kyler Rasmussen admit the Book of Mormon most likely is not ancient, and critics have very good reason to disbelieve it, or would he look for 3 more pieces of evidence?

I will give you a day to think about this (even if it won't take you that long to think about it) and follow up with a second, similar thought experiment.
This is a great question. Alt Kyler would probably end it the same way this one's ending. Here's a quote from the closing paragraphs:

"This episode was supposed to be about conclusions, but the point of this has always been that there aren’t any—that there’s always room for further investigation, that conclusions are necessarily tentative, and that answers will never be final. The question we should ask ourselves now isn’t, “is the Book of Mormon authentic?” We could instead ask two other questions: “is there enough evidence for me to hope”, and “do I have enough hope to exercise faith”. I can’t answer either of those questions for you, and, as you’ll see, I can’t answer them for my skeptic either...Questions of authenticity will continue to ebb and flow, as will the evidence that supports or refutes them."

Alt Kyler's conclusion at that point would probably be that the skeptical position is a reasonable one to hold (and real Kyler still believes that), and that taking on a faithful one would probably require adopting a less-strenuous prior (obtained, perhaps, on the basis of personal spiritual experience).

Interestingly enough, the trajectory of evidence over time is a useful piece of evidence in itself, and I'll be discussing it in Episode 15.
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Dr Exiled wrote:
Sat Jul 24, 2021 3:37 pm
I'm afraid the desire to believe will affect this exercise given how fuzzy subjective beliefs can be.
Probably, just as the desire to disbelieve will impact most of the people here. This project is already doing what I hoped it would, though--providing a common framework for both sides to discuss the evidence in a clear and amicable way.
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Dr Moore wrote:
Sat Jul 24, 2021 4:02 pm
kyzabee wrote:
Sat Jul 24, 2021 6:43 am

"proper application of the tools you’ve chosen cannot be made within the rules of the art"

People like Carrier would seem to disagree…
Appeal to authority. (not even a very good one)
To that, I'd say then that the proof is in the pudding. Carrier doesn't think so because it's allowed him to see historical problems in new, useful, and clear ways, and I think it's doing the same for me. If you still want to throw out the whole enterprise that's your prerogative, but on that we'll have to agree to disagree.
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Philo Sofee wrote:
Sat Jul 24, 2021 3:40 pm
Kyzabee
Don't be overwhelmed by all of us at once coming at you with questions. Carry on your analysis, and we can take each point at a time.
Thanks Philo. Between Billy and Daved I've been having my hands full answering questions, and thinking about these comments tends to occupy a lot of my brainspace once I get going. That's probably not fair to my wife and kids (and certainly makes it more difficult to keep up my Warcraft habit), so I'll probably need to be selective in how I engage with you folks. I can almost always find time to answer good questions, though, so no need to hesitate, and I'm always reachable at BayesianBoM-at-gmail.com.
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Gadianton
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Re: Interpretering Bayesian Analysis

Post by Gadianton »

Interestingly enough, the trajectory of evidence over time is a useful piece of evidence in itself, and I'll be discussing it in Episode 15.
even more so, because the "trajectory" is part of question #2 for tomorrow. thanks for answering.
We can't take farmers and take all their people and send them back because they don't have maybe what they're supposed to have. They get rid of some of the people who have been there for 25 years and they work great and then you throw them out and they're replaced by criminals.
Meadowchik
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Re: Interpretering Bayesian Analysis

Post by Meadowchik »

kyzabee wrote:
Sat Jul 24, 2021 2:25 pm

They had large beefs with Joseph and they knew very clearly that they would have instant notoriety and a huge following if they blew Joseph's game open.
Those are both assumptions, definitely not givens. And charisma is also not to be taken for granted.
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Gadianton wrote:
Sat Jul 24, 2021 2:46 pm
Billy Shears wrote:He needs to choose what, specifically, he is testing. He then needs to rigorously stick to that. He can’t test these various things and update a “posterior probability” of something that is meaningful.
Thanks for dropping in Billy, I mentioned I'd hold off to thoroughly consider your comments before responding.

My first observation regards point 1. I totally agree, the "evidence" -- at least the stuff so far -- has nothing to do with the Book of Mormon being ancient. The exercise is pointless on its face. However, I do believe there is a method to the madness. Kyler's origin story -- If I'm not mistaken -- begins with recognizing one of the (many, many) flaws in the Dales' Guesser paper. He recognized the independence problem. In order to justify multiplying an arbitrarily long string of numbers together to either get to arrive at a big number or to overcome 10 ^ - 158,494 million he's got to make each piece of evidence independent, and what better way to accomplish that than to be sure they actually have nothing to do with each other? Surely, Joseph Smith's first vision story isn't dependent on Chiasmus? (Dr. Moore still has a rejoinder: even then they might be correlated, but let's give it the benefit of the doubt for a moment for the sake of showing the motivation, which was understandable)
My origin story is actually Dan's 2015 FAIR conference talk, where he lays out a very rough outline of Bayesian reasoning for disbelief in Joseph's authorship of the book. That made me curious what would actually happen if a more thorough Bayesian analysis was attempted. Those initial thoughts put me in a decent position to critique the Dales when their paper came forward.
kyzabee
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Re: Interpretering Bayesian Analysis

Post by kyzabee »

Meadowchik wrote:
Sat Jul 24, 2021 5:13 pm
kyzabee wrote:
Sat Jul 24, 2021 2:25 pm

They had large beefs with Joseph and they knew very clearly that they would have instant notoriety and a huge following if they blew Joseph's game open.
Those are both assumptions, definitely not givens. And charisma is also not to be taken for granted.
They're assumptions, but I see them as reasonable ones, and ones that can be better grounded in the historical data than the idea that they were just trying to save face. The beefs were public, obviously, and they knew they'd have instant notoriety because they would've seen it happen firsthand with other dissenters. There were multiple occasions where adoring throngs were begging them to tell them the real story, to come forward not as villains but as saviours.

As for charisma, that certainly didn't stop many of them from going against Joseph in the first place, so I'm not sure what barrier it would've presented to going just that one step further to recanting.

But there will be opportunities to discuss this later on, so I'll refrain from commenting further.
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