Hi Ed,
You say, "I do believe that logic and math are more certain than physical laws." I do also. What I do not believe is that logic and math underlie physical existence! Some seem to think that physical existence emerges from logic and math, and others in this contest seem to be saying that if you get rid of space and time and causality (etc?), coming 'as close as possible to "nothing"', that math and logic will still be there. This is the assumption I question.
You say, "If we give up logical coherence, then we can believe that local causality is both true and false. we can conclude anything that we want..." It is my opinion that that state of affairs already holds, although usually not in the same physicist's mind. Even above, while quoting Tresser, you note: "it appears to contain a flat-out logical contradiction". It's possible that you and Tresser conclude different things. And, beyond a certain point, I'm not sure that such things are resolvable. Joy and his competent opponents have certainly not been able to resolve such. Anyway, I do not reject logic, but I probably would do so before giving up local realism. Even then I would continue to believe in the efficacy of logic for most things, just as math approximations are useful even in the case of unsolvable problems.
For both experiential reasons, intuitive reasons, and because my local realistic theory (of which my essay represents just the tip of the iceberg) seems to answer unresolved questions, I choose to work with local realism. If I am wrong, then I can consider it a hobby. I am not yet convinced I am wrong.
Thanks again for your excellent essay and for hosting such stimulating comments on your thread.
Edwin Eugene Klingman