But I have been asked to offer comments on an argument for the historicity of three specific events from the Bible, which I have been doing.
In order to do so, I have responded to your repeated groundless assertion that if someone doesn't know whether or not X is the case, they should assume at least a 50 percent probability. Personally, I am unfamiliar with any system of logic that would allow that, with the sole exception of Bayesian analysis, for which that initial assumption would then have to be subject to repeated observations with subsequent adjustments to that initial estimate. Are you using Bayesian statistics here? Why not specify that?
As a social scientist, I had to learn application of what is called Null Hypothesis Testing, a model of logical analysis that begins with "There is NO evidence of X"(Null Hypothesis) and an Alternative Hypothesis ('There IS evidence of X'). One has to be careful to define exactly what acceptable evidence would be, how it would be measured and verified. One would look at the evidence to determine how much, if any, of the evidence supports the proposition. The level is usually determined based on the kind and volume of data before one collects the data and analyzes it.
If there isn't enough data supporting X, then we "fail to reject" the Null hypothesis; if there is sufficient evidence supporting X in the data, we "reject the Null"
The three supposed 'bedrock' facts are all NOT independently reported...all stem back to the same source and the tradition that grew up around that source, which does not give much room for statistical treatment.
You and others are then arguing BEYOND those historical "bedrock" items, but still relying entirely on the same source (NT) and associated traditions to assert conclusions that are not grounded in the bedrock items themselves.
Null hypothesis for each of the 'bedrock' data:
1) There is NO EVIDENCE that Jesus was killed by crucifixion under Pilate
2. There is NO EVIDENCE that Very soon after his death, his disciples reported having experiences which they interpreted as the risen Jesus appearing to them, both individually and in groups
3. There is NO EVIDENCE that The early Church persecutor Paul also had an experience which he interpreted as Jesus appearing to him and this experience convinced him to convert to Christianity
Is there evidence? Certainly: the New Testament and the Christian traditions that have grown up around that.
But what is that evidence? Well, frankly, it's stories. Oral testimony. Of individuals who cannot now be cross examined. And in a tradition that has a vested interest in presenting those stories, those testimonies, in a certain way. That makes is weak evidence at best, but we can, at least provisionally, Reject the Null. But we still have to recognize that a single source and supporting tradition is very weak. In reality, depending on exactly how we set up the measures of this data, it may actually fall below the threshold for acceptance, in which case we'd have to REJECT the Null...
Another Null hypothesis:
There is NO EVIDENCE of a resurrection of Jesus following his execution.
This is an entirely separate hypothesis from the reputed experiences of disciples and Paul. It is NOT part of the three "Bedrock" events. So, do we find any evidence to support this hypothesis? Sure. It's the exact same single weak source and tradition that leads to even a provisional acceptance of the so-called "bedrock" events.
Now the, you keep asserting that there are some who would plug an automatic 50 percent probability of the resurrection into whatever analysis. Please list them, or provide citations or links. So we can look in some detail at the underlying logic of making this assumption.