text_combined: kathryn blackmond laskey voqydpjgmuedu incidentally isnt pearls theory causality deterministic yet probabilistic pearls early work dealt causal bayesian networks intrinsically stochastic causal mechanisms later work moved toward laplacian determinism view probability reflects ignorance fundamentally deterministic world makes choice order achieve rigorous definitions concepts probabilities causation counterfactuals acknowledges laplacian determinism breaks quantum level says esoteric results quantum experiments violate deeply entrenched intuitions locality causality objective preserve explicate satisfy destroy intutions pearl 2000 p 26 many people aware quantum theory stochastic theory people aware theory effects interventions sense popularized pearl david bohms 1951 quantum theory text says although quantum wave function called wave probability accurately called wave many probabilities calculated quantum theory causal probability theory sense pearls causal bayesian networks deterministic theory like ones form almost entire focus book specifically quantum theory predicts given state state s1 time measurement operation performed time one possible results leave system state s2 time probability outcome occur equal value depends s1 s2 probability independent feature past light cone system measurement process causal probability ie conditional probability given causal predecessors s1 make instantaneous quantum jump s2 function s1 s2 fact intervention occurred made s2 possible nothing else furthermore although schrodinger evolution timereversible qualitative property quantum probability quantum theory make predictions probability system state s1 time given state s2 time intervention occurred time one key difference quantum theory pearls theory quantum theory doesnt allow us apply doxx operators set random variable one possible values quantum theory askxx operators ask system whether state x state x immediately prior asking remain state x probability 1 definitely x state prior asking ie subspace orthogonal xx subspace remain state previously probability 1 thus state x probability 0 states quantum system called superpositions mixed states definite answer question value x equal x system one states prior asking either one yes state x state x states immediately measurement probabilities alternatives prescribed quantum theory quantum theory incidentally nothing say ask operator applied time dynamic incompleteness one version famous quantum measurement problem kathy thu 07 aug 2008 050154 0400 uai determinism verses chance