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Old 12-28-2011, 06:20 AM   #31
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One possibility is that Detrano et al. discovered a fact that contradicts Bayes' Theorem.

Another possibility is that Detrano et al. used Bayes' Theorem incorrectly.
Howdy Doug, no, sorry to write that I think you missed my point, entirely.

The citation from Detrano et al was not haphazard, as it may have appeared.

They concluded that Bayes' Theorem (which they did employ properly) was very useful, in predicting the existence of significant coronary artery disease. They based that optimistic conclusion on the fact that Bayes' theorem accurately predicted the existence of disease in MOST patients PRIOR to their undergoing confirmation by coronary angiography.

My point then, was simple: Bayes' theorem is very useful in predicting probabilities where the consequence of error is outweighed by the larger quantity of cases in which the theorem yields predictions which turn out to be accurate. In the case of heart disease, of course, one would never rely upon Bayes' theorem, because it is imperfect.

More folks are accurately diagnosed, using Bayes' theorem, than are inaccurately diagnosed using Bayes' theorem, however, if one's coronary arteries are blocked, one must ascertain, with certainty, prior to surgery, the extent and nature of the blockage. Having a high probability is nifty, if one is betting at the racetrack, but not if one is betting one's life.

So, no, Detrano et al did not discover anything that disproves Bayes' theorem, if anything, on the contrary, they showed that it is quite useful in predicting heart disease. However, its reliability is insufficient to base a clinical decision on the outcome of this computation.

So, then the question arises, of what utility could employment of Bayes' theorem provide, investigators attempting to elucidate the origins of Christianity?

I reply to that question: NONE

Why? For me, and perhaps, singularly me, the probability that Irenaeus wrote xyz, or Clement of Rome wrote abc, is not interesting. I want to know, as with coronary artery disease, precisely, exactly, who wrote what, when.

Assigning a probability of 87% to the likelihood that the LAD is 100% obstructed, is fine, but if it is Sheshbazzar's LAD that is blocked, then, I want to know that fact, definitively, not probably. I require certainty, not likelihood. One needs to establish, before cutting, that the surgical approach proposed, to unblock LAD, will resolve Sheshbazzar's problem.

The history of Christianity's origin will not be revealed, no matter how many arithmetic manipulations are performed.

Excavation, supervised recovery, transparent, fully televised, archaeological inquiry, offers the key to learning the origins of Christianity. Put the mathematics books away. They are useless for this inquiry.

tanya, for me, it is all about probabilities, and, if we could apply Bayes' Theorem with its numerical percentages of probability, then that would be the best way to go. The main problem seems to be simply that we can't, at least without pulling an ass-load of numbers completely out of our crap piles.

Instead, I think it is best to make decisions with estimates of relative probability, i.e. this interpretation is more probable then that interpretation, having in mind the patterns, the context, and the historical plausibility. Those things you simply cannot effectively quantify with numbers.

Not yet, anyway. Our brains are machines in essence, and maybe someday we can build a perfect brain or a perfect brain-emulating software program that can analyze all evidence and compute all of the most probable conclusions of history for us, with all biases openly accounted for. That would go far beyond Bayes' Theorem, of course, but I think that would be the only mathematical way to do it.
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Old 12-28-2011, 07:34 AM   #32
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Why are we diverting from Abe's Methodology--"Reciprocal Expectations"?

Let us TEST it.

We have FOUR versions of the Jesus stories and the Entire NT to which we can apply to "Reciprocal Expectations".

When I apply "reciprocal expectations" to the Short-ending gMark, the evidence EXPECTS a MYTH Theory.

When I apply it to gMatthew, the same result, the evidence expects a Myth Taheory.

The same thing happens for gLuke, gJohn, the Pauline writings, Acts of the Apostles, Hebrews, the Epistles of Peter, James, John, Jude and Revelation.

"Reciprocal Expectations" when applied to the NT EXPECTS a MYTH THEORY. NT Jesus was NOT claimed to be human with a human father.
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Old 12-28-2011, 09:35 AM   #33
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tanya, for me, it is all about probabilities, and, if we could apply Bayes' Theorem with its numerical percentages of probability, then that would be the best way to go. The main problem seems to be simply that we can't, at least without pulling an ass-load of numbers completely out of our crap piles.

Instead, I think it is best to make decisions with estimates of relative probability, i.e. this interpretation is more probable then that interpretation, having in mind the patterns, the context, and the historical plausibility. Those things you simply cannot effectively quantify with numbers.
But here you are pulling your relative probabilities out of your own crap pile, as you put it. Using Bayesian statistics would force you to be more rigorous, instead of just squinting at the data and proclaiming your own theory the winner.
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Old 12-28-2011, 12:51 PM   #34
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tanya, for me, it is all about probabilities, and, if we could apply Bayes' Theorem with its numerical percentages of probability, then that would be the best way to go. The main problem seems to be simply that we can't, at least without pulling an ass-load of numbers completely out of our crap piles.

Instead, I think it is best to make decisions with estimates of relative probability, i.e. this interpretation is more probable then that interpretation, having in mind the patterns, the context, and the historical plausibility. Those things you simply cannot effectively quantify with numbers.
But here you are pulling your relative probabilities out of your own crap pile, as you put it. Using Bayesian statistics would force you to be more rigorous, instead of just squinting at the data and proclaiming your own theory the winner.
So what is your opinion for why such an assertion is not yet demonstrated? How is the proposal for the application of Bayesian statistics to history better than the proposal for a time machine?
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Old 12-28-2011, 01:19 PM   #35
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So what is your opinion for why such an assertion is not yet demonstrated? How is the proposal for the application of Bayesian statistics to history better than the proposal for a time machine?
What assertion are you talking about?

Richard Carrier is in the process of trying to convince professional historians that they need to use Baysian statistics (or that they have been using it all along without realizing it, if they are reasoning correctly.) He's been working at this for only a few years. Progress takes time.
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Old 12-28-2011, 01:37 PM   #36
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So what is your opinion for why such an assertion is not yet demonstrated? How is the proposal for the application of Bayesian statistics to history better than the proposal for a time machine?
What assertion are you talking about?

Richard Carrier is in the process of trying to convince professional historians that they need to use Baysian statistics (or that they have been using it all along without realizing it, if they are reasoning correctly.) He's been working at this for only a few years. Progress takes time.
You claimed, "Using Bayesian statistics would force you to be more rigorous..." Do you think that a demonstration of such a claim is a lot more complicated than Carrier initially expected? It must be very complicated, because Richard Carrier is no longer a student and he is not employed. How much time do you think we should give him before he no longer gets the benefit of the doubt?
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Old 12-28-2011, 01:42 PM   #37
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Richard Carrier has written a book on the subject which is now being peer reviewed and is scheduled to be published by Prometheus Books.

He started this project after he got his PhD. The complications have been the usual ones of finding a publisher, etc. I don't think you can describe Carrier as "unemployed." But your entire post makes little sense.
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Old 12-28-2011, 01:52 PM   #38
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Richard Carrier has written a book on the subject which is now being peer reviewed and is scheduled to be published by Prometheus Books.

He started this project after he got his PhD. The complications have been the usual ones of finding a publisher, etc. I don't think you can describe Carrier as "unemployed." But your entire post makes little sense.
I didn't get that news. Who is reviewing the book?
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Old 12-28-2011, 02:03 PM   #39
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I didn't get that news. Who is reviewing the book?
It's up to Prometheus. Of course, once the book is published, anyone can review it.
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Old 12-29-2011, 01:18 AM   #40
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My point then, was simple: Bayes' theorem is very useful in predicting probabilities
Your point is erroneous. Bayes' Theorem does not predict probabilities. It calculates them. And like any calculator, it is susceptible to GIGO. You can't get the right numbers out if you don't put the right numbers in.
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