I didn't start off very well, but think that #'s 8 and 9 express my first premise pretty well...
Why are you starting over? You posted a comprehensive fringe reset in the first week of June. I and several others answered it promptly, and -- while acknowledging it -- you failed to respond to its content. You continue to ignore it, even though I and other posters have referred you to it. Last week you tried to restart the argument again. You were directed again to several existing rebuttals that addressed the few points you raised anew. Why today are you trying yet again to start over? Why do you ignore the answers you have received, which comprehensively refute your argument?
Being no expert in Bayesian Statistics, I’m having some difficulty appropriately introducing my claim...
The problem with your claim is not that it's being introduced improperly. The problem with your claim is that its proponent admits he lacks expertise in the foundational concepts that apply to it, and this has resulted in a completely nonsensical argument that has been properly analyzed by your critics.
What you desire to argue is clear. You simply don't get that it's wrong, that your critics are quite able to know that it's wrong, and that you've been told in spades why it's wrong. Rather than seeking some new way to conceal your errors, you should face up to them.
One of the variables used in the Bayesian formulas is the likelihood of an event – given the hypothesis that is being re-evaluated.
Not exactly. It is the likelihood of the event assuming that the hypothesis is true. This is the P(E|H) term you have so much trouble with, especially that last part. You have trouble with the notion of the assumption
arguendo that H's explanation for E is what you're evaluating. You want E and H to be your own inventions, and to wrongly implicate P(H) in the P(E|H) term.
Again language like "old hypothesis" and "re-evaluated" suggest that H changes as you apply new data. It does not, and cannot in a valid model. More importantly, you cannot keep adding things to H to make it seem less likely -- but that is exactly what you're doing.
Since there are other variables in the formulas however, the effect of that variable is indefinite – and, may be little or none.
In a properly constrained model you can bound each of these influences. This reduces the degrees of freedom in the model and makes it valid. You simply make up values for all the values in your model, therefore it is underconstrained and worthless.
Further, the battle is between P(H|E) and P(K|E) where K is some particular hypothesis of immortality that you have yet to talk about. You allude in some cases to it being reincarnation, but backpedal from that whenever you are pinned down. You must pin down K and show that P(K|E) > P(H|E). Trying to infer that immortality is 1-P(H|E) commits the false-dilemma fallacy.
Oh, but we already showed that there can be no K that involves incarnation, for which P(K|E) > P(H|E). In fact, we proved that for any K that involves incarnation of a separately-existing soul, P(K) < P(H) necessarily. Just like the Texas sharpshooter fallacy, you seem to just want to set aside the problem and pretend it doesn't exist. I assure you it does.