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Old 02-11-2012, 08:29 AM   #31
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You seem to have NO clue about Bayesian analysis. Your post is like a flat-earther trying to analyze the motion and trajectory of the Sun around the earth.
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I am not an expert in Bayesian analysis.

Could you please explain in more detail what you think is wrong with my post ?

Andrew Criddle
You have already ADMITTED and CONFIRMED what is wrong with your post.

Did you or did you not just post, "I am not an expert in Bayesian analysis?

My suspicions are NOW confirmed.

Have a nice day.
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Old 02-11-2012, 02:34 PM   #32
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I am not an expert in Bayesian analysis.

Could you please explain in more detail what you think is wrong with my post ?
Hi Andrew,

I too, am not an expert. (in anything!!)

Let's take a glance at what you have written, to see if there could be something that could be modified, "to prevent that murmur" (Milton):

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Originally Posted by Andrew Criddle
In the philosophy of history the relation of Bayes theorem to historical claims is an important issue which has been rather neglected.

One reason for neglect is the apparent belief of most practicising historians that the theorem doesn't in real life cases genuinely help to resolve controversies and clarify issues.

A main area where Bayes theorem can be helpful in correcting human intuitive tendency to misunderstand the real probabilities is where the positive evidence supports an intrinsically improbable conclusion.

E.G. There is a DNA match between blood found at the scene of a crime and a known individual. The probability that a random individual would match as well is one hundred thousand to one. However without the DNA evidence there would be no case whatever against the individual. Most people would feel that the DNA evidence firmly establishes the guilt of the individual, (or at least presence on the scene), but a Bayesian analysis would make one very cautious.
1. How do we ascertain whether or not Bayes' theorem has been "neglected"?

2. Have you an illustration showing how application of Bayes' theorem "genuinely helped resolve controversies"? (I do not.)

3. How does one elaborate the "real possibilities", in seeking to "correct human intuitive tendencies"?

4. "...but a Bayesian analysis Could make one very cautious."

How does application of Bayes' theorem assist us in deciding which of the three, extant, Greek versions of Mark 1:1, if any, represents the original verse?

Answer: It does not assist us in that endeavor. If we cannot distinguish a malignant lesion from a benign lesion, should we be touting the technique?

Is it sufficient to argue that, there is a greater likelihood, based upon application of Bayes' theorem, (using mammography results) of the Pathologist discerning exclusively benign cells in the needle biopsy specimen, than of his/her discovering a preponderance of malignant cells? Based upon such an analysis, would you then suggest to the person who had undergone the mammography and the subsequent Bayes' analysis, that the needle biopsy step was irrelevant, and a waste of time and money, because BAYES' theorem predicted that there was a very low probability of cancer?

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Old 02-13-2012, 01:29 AM   #33
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1. How do we ascertain whether or not Bayes' theorem has been "neglected"?
The only substantial discussion of Bayes theorem in works on historical methodology known to me is in Justifying historical descriptions by C. Behan McCullagh. (There are doubtless others but I haven't done a search.) McCullagh takes the position that although in theory valid and important the theorem is, in practice, of little use to historians.

Andrew Criddle
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Old 02-13-2012, 05:51 AM   #34
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The only substantial discussion of Bayes theorem in works on historical methodology known to me is in Justifying historical descriptions by C. Behan McCullagh. (There are doubtless others but I haven't done a search.) McCullagh takes the position that although in theory valid and important the theorem is, in practice, of little use to historians.
Andrew Criddle
That's my gut reaction too, so I will be extremely interested in reading Carrier's work.

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Old 02-13-2012, 06:04 AM   #35
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1. How do we ascertain whether or not Bayes' theorem has been "neglected"?
The only substantial discussion of Bayes theorem in works on historical methodology known to me is in Justifying historical descriptions by C. Behan McCullagh. (There are doubtless others but I haven't done a search.) McCullagh takes the position that although in theory valid and important the theorem is, in practice, of little use to historians.

Andrew Criddle
Please do a thorough search before you make self-serving statements.
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Old 02-13-2012, 06:24 AM   #36
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The only substantial discussion of Bayes theorem in works on historical methodology known to me is in Justifying historical descriptions by C. Behan McCullagh. (There are doubtless others but I haven't done a search.) McCullagh takes the position that although in theory valid and important the theorem is, in practice, of little use to historians.

Andrew Criddle
Please do a thorough search before you make self-serving statements.
You were asked to explain what is wrong with his [Andrew] post.[#30]
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Old 02-13-2012, 08:36 AM   #37
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Here's an interview with Richard about the book:

http://debunkingchristianity.blogspo...ier-about.html

Testing two hypotheses:

h = “Jesus was a historical person mythicized” and
~h = “Jesus was a mythical person historicized.”



Quote:

John:

In your forthcoming book you’ll test between two hypotheses: h = “Jesus was a historical person mythicized” and ~h = “Jesus was a mythical person historicized.” Care to give us an advanced introduction to that book and/or where your research has led you so far based on Bayesian methodology?




Richard:

It’s no secret that I’ve come to the conclusion that ~h is more likely. And the more I’ve researched it, the more certain I am of that. I keep finding evidence supporting ~h; whereas evidence for h keeps disappearing the more I examine it. However, my conclusion does come close to the Granicus example above. I am not supremely certain. I just think it’s more likely than not. But this won’t be any comfort to Christians, since the next most probable hypothesis is that Jesus existed but we know essentially nothing about him. Which, incidentally, a lot of experts in the field are starting to agree with. It’s slowly becoming the consensus position. There are still hold outs, like Bart Ehrman, but I don’t think their position is going to survive in the long run. There are just too many cats out of the bag at this point. But what will be the fate of the next-step position, that there wasn’t even a Jesus at all? Time will tell. But someone needs to present the case properly before it can be conclusively accepted or refuted. No one has done that yet. My future book On the Historicity of Jesus Christ will. In the meantime Proving History does a good job already of showing why that currently growing consensus is correct; and it’s just one step from there to full mythicism.
In the philosophy of history the relation of Bayes theorem to historical claims is an important issue which has been rather neglected.

One reason for neglect is the apparent belief of most practicising historians that the theorem doesn't in real life cases genuinely help to resolve controversies and clarify issues.

A main area where Bayes theorem can be helpful in correcting human intuitive tendency to misunderstand the real probabilities is where the positive evidence supports an intrinsically improbable conclusion.
Hi Andrew,

Here's my 2c's worth.

Carrier via Bayes theorem seems to have already been helpful in exposing the list of "Yesteryear Historicity Criteria" (such as the 'Criterion of Embarrassment) as essentially illogical. AFAIK a number of other scholars had also been previously working in this area, Carrier seems to have formalised a Bayesian version of their arguments. In this context I see the use of Bayes theorem to formalise the "disproof" of the prior reliance on these historicity criteria.


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E.G. There is a DNA match between blood found at the scene of a crime and a known individual. The probability that a random individual would match as well is one hundred thousand to one. However without the DNA evidence there would be no case whatever against the individual. Most people would feel that the DNA evidence firmly establishes the guilt of the individual, (or at least presence on the scene), but a Bayesian analysis would make one very cautious.
I see the Bayesian analysis as an analysis tool. The object of analysis is the evidence items themselves - or rather - the hypotheses that the investigator will provisionally associated with the evidence items. Not one skerrick of evidence in the field of BC&H will be changed by the use of Bayesian analysis, but it will force the anyone using it (such as Carrier) to critically examine all the underlying hypotheses in the field about the evidence.

It has already been used to assist in exposing prior illogical criteria, so there is really no saying what it may uncover next.



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However for this to be particularly relevant to Richard Carrier's question
Quote:
Testing two hypotheses:

h = “Jesus was a historical person mythicized” and
~h = “Jesus was a mythical person historicized.”
he would have to emphasize the intrinsic (a-priori) improbability of hypothesis h. Carrier undoubtedly will have other arguments for his position, but these other arguments can probably be expressed just as well without all the Bayesian methodology.

He may do what you suggest above. However he may not take that approach. When I read between the lines of his comments I see that his approach may be one that examines the balance between the two hypotheses h and ~h above. IOW the examination may be one of relative probabilities. But I am only guessing.


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IF Carrier is going to emphasize a personal belief in the intrinsic implausibility of the historicist position then I doubt if his work will cause many people to change their minds.

You may be speaking only for those who consider themselves "Biblical Historians". Until demonstrated otherwise, Carrier is not a Biblical Historian, but in fact an ancient historian. The Biblical Historians, according to Momigliano's ironic quip, are the INSIDERS, while the ancient hisorians are the OUTSIDERS. Carrier may induce other ancient historians to speak their mind. I dont expect that anyone could convert the converted.


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Hence I have doubts whether Richard Carrier's work will contain arguments against the historicist position which are both a/ best explained using Bayes theorem and b/ found widely convincing.

Carrier's work has already turned the spotlight on the demise of the "Historicity Criteria". The arguments for and against the historicists position use the SAME EVIDENCE. The difference in positions may be clearly reflected in the fact that different hypotheses will be associated with the same evidence items.

I will be interested to see how Carrier handles the evidence. Since he has written quite strongly about Eusebius as either a liar or hopelessly credulous I imagine he will devise some mechanism by which the sources themselves may be tested for corruption.


Best wishes



Pete
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Old 02-13-2012, 09:03 AM   #38
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The only substantial discussion of Bayes theorem in works on historical methodology known to me is in Justifying historical descriptions by C. Behan McCullagh. (There are doubtless others but I haven't done a search.) McCullagh takes the position that although in theory valid and important the theorem is, in practice, of little use to historians.

Andrew Criddle
Please do a thorough search before you make self-serving statements.
You were asked to explain what is wrong with his [Andrew] post.[#30]
The guy already admitted that he was NOT an Expert on Bayesian analysis, in other words, he don't really know what he is talking about with respect to Bayesian.
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Old 02-13-2012, 09:37 AM   #39
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You were asked to explain what is wrong with his [Andrew] post.[#30]
The guy already admitted that he was NOT an Expert on Bayesian analysis, in other words, he don't really know what he is talking about with respect to Bayesian.
Your lack of fluency in English is apparent. Saying that you are not an expert is NOT the same thing as saying you don't know what you are talking about.

Andrew Criddle might just be modest. He might know a great deal, but not consider himself an expert because he does not have an advanced degree in the subject.

There is no requirement to be an expert before you say something correct, or meaningful.

So you have FAILED to show anything wrong with Andrew's post in #30.
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Old 02-13-2012, 09:59 AM   #40
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You were asked to explain what is wrong with his [Andrew] post.[#30]
The guy already admitted that he was NOT an Expert on Bayesian analysis, in other words, he don't really know what he is talking about with respect to Bayesian.
Your lack of fluency in English is apparent. Saying that you are not an expert is NOT the same thing as saying you don't know what you are talking about.

Andrew Criddle might just be modest. He might know a great deal, but not consider himself an expert because he does not have an advanced degree in the subject.

There is no requirement to be an expert before you say something correct, or meaningful.

So you have FAILED to show anything wrong with Andrew's post in #30.
Well, I don't really know where you learned your English but Andrew Criddle has admitted that he is NOT an expert in Bayesian analysis which SATISFIES my observation.

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You seem to have NO clue about Bayesian analysis. Your post is like a flat-earther trying to analyze the motion and trajectory of the Sun around the earth.
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