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Perplexed comments on What a reduction of "could" could look like - Less Wrong
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By a "logical theory" do you mean what logicians usually mean by a "theory"? A deductively closed set of sentences?
Wow! Well, that eliminates a lot of the arbitrary character I was objecting to in using programs to represent the world/decision problem. But there still are a lot of deductive systems to choose among. I await your next post with interest.
I won't settle the choice, only point out the generality of notion and how it applies, direction to look for further refinements.