Note that in everyday situations (often involving social interaction), she beats me, and her advice in that domain is often significant bayesian evidence to me.
Closing the gap is harder, because she explicitly says that "logical" reasoning does not apply to everything. (I'd agree that we can't apply it to everything, but in principle, if we had the computing power, we could.)
It might be worth talking with her about how she thinks about the things she's good at.
From Being a Realist (even if you believe in God):
My mother, who doesn't call herself a theist (I think she's agnostic), doesn't even accept realism. She doesn't even agree with this:
That's little more than tautologies here. Yet it elicited an impression of being forced to believe. I know because she told me about the totalitarian dangers from such narrow thinking.
I'm happy to have finally found the root cause of our ongoing disagreement, but now, how can I deal with that? It looks pretty hopeless, but just in case, does someone have a suggestion, or should I just leave it at that? (My ego doesn't like it, but giving up is an option.)
Now I'm relieved to know that in near mode, she's a complete realist. This craziness only shows up in far mode.