Belz...
Fiend God
Could you name that mechanism for the audience?
Oh, please don't pretend you've already forgotten. You've proposed several times that the choice of the chooser somehow informs the OB by traveling back in time. That's a mechanism through which the OB gains omniscience, Bill.
This analogy is so wrong
It illustrates that your explanation as to why they are not interdependent is wrong. I'd say it's a pretty good analogy for that purpose. You do know the purpose of analogies, right ?
Boolean logic (an axiomatic system) is to causality (a non-axiomatic system)
as the language of mathematics (an axiomatic system) is to numbers (a subset of the axiomatic system).
Fail right from the start. The representation of numbers may be a subset of math but things exist in numbers.
A sphere compares to a cube as another sphere compares to a smaller sphere.
This analogy is so wrong there are not words to clarify it. Seeing as you failed miserably to explain with words an analogy that was also so wrong as there were no words to clarify it, I won't make the same mistake.
I said, "The OB is omniscient at any time that it exists, which may be before, while, or after the chooser made his choice."
You replied, "That's not what we agreed to a few posts ago."
You may be confused about what was agreed to.
At anytime the OB is not omniscient it is not an OB.
If you actually clarified what you think we agreed to, as I did, you might have a point. As usual you're dancing around the issue rather than actually discuss it.
We are talking about a FUTURE event, Bill. That's the whole point of the discussion. The OB MUST be omniscient BEFORE the event occurs, but we have agreed, I think, that the OB need not be always omniscient.
First, this doesn't make any sense because if the OB knows the choice before it occurs, then the knowledge (not the OB) is atemporal
1) Not necessarily. I've already mentioned time travel several times.
2) How can a choice be atemporal ?
Second, you seem to think that this is not a violation of causality as compared to your following point.
I think you have no idea what causality means.
What has a violation of causality have to do with a debate about omniscience?
I've already explained this. Your lack of attention or memory is not my problem.