TheOtherDave comments on The Useful Idea of Truth - Less Wrong

77 Post author: Eliezer_Yudkowsky 02 October 2012 06:16PM

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Comment author: TheOtherDave 03 October 2012 04:48:15PM 0 points [-]

I agree that if it's possible, within a single logical framework F, to derive proposition P1 from proposition P2, then P1 is a theorem in F and not an axiom of F... or, at the very least, that it can be a theorem and need not be an axiom.

That said, if it's possible in F to derive some prediction P3 from either P1 or P2, it does not follow that it's possible to derive P1 from P2.