Sometimes it is better to ask “why does this formal method EVER work in the messy real world” than “what’s the minimal extension needed to make the standard formal method work here”pic.twitter.com/CEKBI99nPm
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I see… there have been many cases of extending probability theory to cover some quantified statements (as I noted in my Cox post). Maybe this is cleaner or more general than others?
I would say that it's cleaner in the sense that its computational complexity is only a constant factor worse than an equivalent deterministic reasoning algorithm 1/2
, and somewhat more general in that, in exchange for sacrificing proofs by contradiction, constructive type theories can often handle logic of higher order than first. 2/2
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