I see no reason to suspect that gods cannot exist
Really? I can think of many, but they are not necessarily important to the discussion.
Let me explain it to as a scientist since you claim you had some training in the sciences, logic, and math.
Here goes:
Let us set the null hypothesis (if you don't remember what that was please google it now) that "There is no God". This is a standard approach to inference. You test data to see if there is an effect or not but start (usually) with the null that there is no effect. Then you TEST AGAINST that null hypothesis.
That's effectively how we process every contention in our lives. We test against the null hypothesis.
I fail to find sufficient evidence that would lead me to
rejecting the null. I feel I would make an ERROR (Type I) if I were to reject the null hypothesis.
I can't possibly quantify what the statistics would be, but I'm going to estimate that I have a p-value from any test of the hypothesis that is well above 0.05. As such I FAIL TO REJECT THE NULL HYPOTHESIS that "There is no God".
It does NOT mean that I say there is no God. It simply means that until one can provide sufficient evidence for me I will continue to fail to reject the null hypothesis.
(Does ANY of this sound familiar from your old days in statistics?)
Please be clear: It wasn't the case for YOU because that subtlety was lost on you. HOpefully my explanation using inferential statistical analyses helped clarify it for you.
You do not have to "believe" (accept as the truth) the stuff for which you have evidence. You do not have to "believe" that 2 + 2 = 4 in base 10. You know it.
Do you REALLY want to talk about a priori vs a posteriori epistemology?
When using the word "believe" as you are using it, you probably mean "guess" or "estimate" or "suppose."
Incorrect.
I will interpret your use of the word that way, unless you want to discuss that feature BEFORE we proceed with any further discussion.
You are free to
misinterpret anything and everything.
You were unable to write that thought more coherently?
I wrote it fine. But now I have more structurally codified it for you with a discussion inference and the null hypothesis.
You should be able to do so. Give it a shot. Just explain it as simply as you can. Suppose me to be a dolt, if you must.
I need suppose nothing. I have explained it now several times.
Whatever. I'm 86...and far removed from my university work in logic, statistics, and probability,
Well hopefully this discussion clarified the point for you and you remember SOME of your statistics training. Especially "Inference".