BAYESIAN SYLLOGISM

Charles François (2004). BAYESIAN SYLLOGISM, International Encyclopedia of Systems and Cybernetics, 2(1): 245.

Collection	International Encyclopedia of Systems and Cybernetics
Year	2004
Vol. (num.)	2(1)
ID	◀ 245 ▶
Object type	General information, Epistemology, ontology or semantics

The Bayesian syllogism has been introduced by V.V. NALIMOV and is based on Bayes probabilistic logic (1982, p. 284).

In NALIMOV's own terms: “It becomes possible to speak of the Bayesian syllogism. It may be regarded as a generalization of ARISTOTLE's syllogism (i.e. the categorical syllogism in which two initial categoric assertions linked by the common middle term yield the third judgement called the inference …, an ssertion of absolute value , independent of any conditions).

“Whereas in the Aristotelian syllogism the inference is a logically clear assertion, in the Bayesian syllogism the inference is the redistribution of weights in the system of initial value concepts , determining the trend of thought on the logically structured level ”(Ibid)

In a later work, NALIMOV adds: “In my interpretation, the Bayesian formula well known in statistics acquires a new meaning . From an auxiliary computational formula, broadly used in mathematical statistics, it turns into one setting the logic of propositions”(1985, p. 28)

See also