CAUSALITY, INDUCTION, AND PROBABILITY (I.)

Local Causality, Probability and Explanation

In papers published in the 25 years following his famous 1964 proof John Bell refined and reformulated his views on locality and causality. Although his formulations of local causality were in terms of probability, he had little to say about that notion. But assumptions about probability are implicit in his arguments and conclusions. Probability does not conform to these assumptions when quantu...

Causality From Probability

Causality and Probability in the Sciences

Quantum probability assignment limited by relativistic causality

Quantum theory has nonlocal correlations, which bothered Einstein, but found to satisfy relativistic causality. Correlation for a shared quantum state manifests itself, in the standard quantum framework, by joint probability distributions that can be obtained by applying state reduction and probability assignment that is called Born rule. Quantum correlations, which show nonlocality when the sh...

Induction, of and by Probability

This paper examines some methods and ideas underlying the author's successful probabiliBtic learning BJ18feme (PLS}. These systems have proven uniquely effective and efficient for generalization learning (induction) in heuris­ tic search. Aspects of PLS include use of probabilities to guide both task performance and learning, incremental revision and normalization of probabilities, and localiza...