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stochastic model

1. a model in which one or more of the inputs allow for random variation, thus generating a range of potential outcome values. Stochastic models are used to estimate the probabilities of various outcomes occurring under varying conditions. They are widely used in the social and behavioral sciences and also in the financial world. Compare deterministic model.

2. in artificial intelligence, a model based on co-relational analysis, usually Bayesian, used for simulating situations as well as fault diagnosis. Although mathematically well founded, unless simplifying assumptions are made, such models are computationally intractable for complex situations. See graph.

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Psychology term of the day

January 30th 2025

Gödel’s proof

Gödel’s proof

a proof that in any logic system at least as powerful as arithmetic it is possible to state theorems that can be proved to be neither true nor false, using only the proof rules of that system. Published in 1931, this incompleteness result was very challenging to the mathematics of the time. British mathematician Alan Turing (1912–1954), with his proof of the undecidability of the halting problem, extended this result to computation (see Turing machine). [Kurt Gödel (1906–1978), Austrian-born U.S. mathematician]