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The Algebra of Probable Inference - Cox, Richard T, Professor
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Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency. He does so through a functional derivation of probability theory as the unique extension of Boolean Algebra thereby establishing the legitimacy of probability theory as formalized by Laplace in the 18th century. (Mathematics)

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The Algebra of Probable Inference 1961, Johns Hopkins University Press, Baltimore

ISBN-13: 9780801869822

Trade paperback