- Backward chaining. Backward chaining is an inference method described colloquially as working backward from the goal.
- Base rate. In probability and statistics, the base rate (also known as prior probabilities) is the class of probabilities unconditional on "featural evidence" (likelihoods).
- Bayes's Theorem. The equation stating how to update a hypothesis H in light of new evidence E. In its simplest form, Bayes's Theorem says that a hypothesis' probability given the evidence, written P(H|E), equals the likelihood of the evidence given that hypothesis, multiplied by your prior probability P(H) that the hypothesis was true, divided by the prior probability P(E) that you would see that evidence regardless. I.e.:
P(H|E) = P(E|H) P(H) / P(E).
Also known as Bayes's Rule. See "odds ratio" for a simpler way to calculate a Bayesian update. - Bayesian. (a) Optimally reasoned; reasoned in accordance with the laws of probability. (b) An optimal reasoner, or a reasoner that approximates optimal inference unusually well. (c) Someone who treats beliefs as probabilistic and treats probability theory as a relevant ideal for evaluating reasoners. (d) Related to probabilistic belief. (e) Related to Bayesian statistical methods.
- Bayesian updating. Revising your beliefs in a way that's fully consistent with the information available to you. Perfect Bayesian updating is wildly intractable in realistic environments, so real-world agents have to rely on imperfect heuristics to get by. As an optimality condition, however, Bayesian updating helps make sense of the idea that some ways of changing one's mind work better than others for learning about the world.
- beisutsukai. Japanese for "Bayes user." A fictional order of high-level rationalists, also known as the Bayesian Conspiracy.
- Bell's Theorem. Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with noncontextual local hidden-variable theories, given some basic assumptions about the nature of measurement.
- Berkeleian idealism. The belief, espoused by George Berkeley, that things only exist in various minds (including the mind of God).
- bias. (a) A cognitive bias. In Rationality: From AI to Zombies, this will be the default meaning. (b) A statistical bias. (c) An inductive bias. (d) Colloquially: prejudice or unfairness.
- bit. (a) A binary digit, taking the value 0 or 1. (b) The logarithm (base 1/2) of a probability—the maximum information that can be communicated using a binary digit, averaged over the digit's states. Rationality: From AI to Zombies usually uses "bit" in the latter sense.
- black box. Any process whose inner workings are mysterious or poorly understood.
- Black Swan. The black swan theory or theory of black swan events is a metaphor that describes an event that comes as a surprise, has a major effect, and is often inappropriately rationalized after the fact with the benefit of hindsight.
- blind god. One of Yudkowsky's pet names for
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