> In fact, logic can do things probability theory can’t. However, despite much hard work, no known formalism completely unifies the two! Even at the mathematical level, the marriage of rationality and empiricism has never been fully consummated.<p>>Furthermore, probability theory plus logic cannot exhaust rationality—much less add up to a complete epistemology. I’ll end with a very handwavey sketch of how we might make progress toward one.<p>Nevermind the handwavey plan of attack that follows, the preceding premise seems a bit too handwavey to begin with for my needs before I invest in further reading. Statements like "logic can do things that probability can't" beg for a citation or at least a proof by counterexample. I'm interested, but the initial argument needs more supporting evidence - maybe it's just me.
I'm still skimming through the article on my mobile, so I haven't read it all, but I think "the problem of induction" by Hume is the core of the dilemma.<p>Russel on the problem: The farmers' chicks get fed every day since birth. They infer that since tomorrow is a new day, food will be brought tomorrow. And that reasoning is indeed true: every time they wake up there's soy beans... Until one day the farmer wrings their necks.