I do think, however, that I have a lot of indirect, or circumstantial, evidence.
Asked and answered. What you think is "circumstantial evidence" isn't actually any kind of evidence.
That is what I’m currently trying to show.
You have already been refuted on that point. Continuing to present it with addressing the refutations is dishonest and rude.
I’m trying to show how the different pieces of my alleged evidence fit together for consilience towards authenticity.
You don't understand the concept of consilience. You think it resides in the quantity of evidence, without examining each piece of it. You are obsessed with the "fitting together" portion and completely evading the proof of any of it.
I'm just trying to build the foundation for the discussion.
Asked and answered. You're not "building a foundation." You're trying different fallacious modes of thinking about the problem to see if any of them can trap your readers. Continually reframing the same broken arguments is a hallmark of fringe argumentation. After four years of this unvarying wrangling, it's clear your objective is closer to maintaining the motion of the hamster wheel, not to engage in any sort of cogent test of your claims.
I’m trying to show how various bits of indirect evidence support authenticity.
Asked and answered. Your "indirect evidence" is a set of fanciful attempts to refute the evidence showing a medieval orgin. In no way is that evidence
for authenticity.
And, when put together, make for a substantial argument.
Asked and answered. The only way you can have a substantial argument is to provide substance in the form of affirmative evidence. You admit you have none, thus no amount of erosion of belief in a medieval origin will substantiate your affirmative claim.
You assiduously refuse to grasp the meaning of preponderance of evidence and what it takes to prove something.
I’m trying to show how logic/deductive reasoning/math/Bayesian statistics should be used to determine the relevance and impact of each new piece of information.
Asked and answered. You do not understand Bayesian methods, and you have used them simply to lend an undeserved illusion of rigor to what you later must admit are simply your assumptions and preconceptions.
...but Bayesian statistics is surely the appropriate math for figuring out how new evidence effects the (posterior) probability of the old hypothesis.
Asked and answered. You do not understand what Bayesian methods allow you to conclude. You do not understand how your choice of priors limits the outcomes of such a model. You abjectly refuse to justify your choice of priors.
In regard to ‘bloodstains’ on the shroud, I claim that if they are real blood, they support authenticity of the shroud – not very much, but a little.
Asked and answered. You have not explained how they do. Just as you did with the limestone question -- which was intentionally posed as an example of refractory evidence -- you have simply used the point as the centerpiece of a set of blatantly begged questions.
I claim that the particulars of the stains will add a lot of support to authenticity.
You have provided only speculation and mistaken medical analysis to support this possibility, which remains moot as long as you are unwilling to prove the stains are the blood you claim they are.
In regard to the amount of limestone on the shroud, I have claimed that such is also supportive of authenticity – also, not very much, but a little.
Asked and answered. You simply begged the question, then misused Bayesian methods to disguise it. Real or fake, the shroud sat in limestone churches for 700 years. Yet you seem to think the day and a half it purportedly sat in Jesus' tomb has to be the likely source of any limestone. How is that not a flagrant preconception?
At this point, I’m suspecting that I may have been taking authenticist implications for granted, and the amount of limestone on the shroud may not support authenticity.
You repeatedly suggest that you are ready to concede this point, but you don't. Stop talking about conceding it and either do it or prove your assertion.
As the blood issue is my primary concern right here, I’ll research the limestone issue a little more, but then move back to the blood issue.
Rapidly switching between topics when cornered is one of your evasion tactics. You have suggested you are ready to concede the limestone question. Please do so and bring closure to that point before changing the subject.
I should have said this lack of extra context, given an inauthentic shroud makes the likelihood of no, or little, limestone on the cloth greater than the likelihood of no, or little limestone on the cloth, given the authentic shroud.
Asked and answered. The allegedly ambiguous context is the effect of your poor formulation of the question. The effect of that ambiguity is to justify no estimate, not to justify your low estimate.
No. You simply issued the predicted reset. You repeated the same fallacy you've been called upon several times. You have yet to address any of it.
We have a lot of difficulty following the logic here (it isn’t just me) because the Bayesian approach adds a twist we don’t expect.
No. "We" are not confused. You attempted to misuse a statistical method to disguise a set of propostions you now admit are preconceived assumptions. And you got caught immediately by your critics. You are now simply pretending you didn't get caught. Bluster and bluff are not arguments.
As to expectations: as I mentioned, fringe theorists have been misusing Bayes for years in exactly the same way you have, and your facility in avoiding discussing its known weaknesses illustrates that you know this.
It’s like trying to shave viewing the second of two mirrors…
The convolution of this thread is entirely your fault. If you would simply, directly, and thoroughly address your critics, there would be nothing to complain about. Do not lay blame for your intransigence where it doesn't belong.