Well, I shouldn't even poke my head above the weeds in this one,
because this thread has way too much energy for me, but I just
couldn't resist. Think of this as a prosodic rather than a semantic
reply...
I think we are reaching the heart of the problem with human
nature. We want to be correct and we want to be precise and we
want to be sure.
We are all aware of the branch of statistical learning theory known
as PAC-learning, or Probably Approximately Correct -learning (?).
One of the few ideas with which I can be completely comfortable.
Eric
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