Aristotle: an ancient mathematical logician

Abstract

We can now recognize Aristotle's many accomplishments in logical theory, not the least of which is treating the deduction process itself as a subject matter and thus establishing the science of logic. Aristotle took logic to be that part of epistemolo gy used to establish knowledge of logical consequence. Prior Analytics is a metalogical treatise on his syllogistic system in which Aristotle modelled his deduction system to demonstrate certain logical relationships among its rules. Aristotle's n otion of substitution distinguishes logical syntax from semantics and enabled him to distinguish validity from deducibility sufficiently to note the completeness of his logic.

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George Boger
Canisius College

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References found in this work

Introduction to mathematical logic.Alonzo Church - 1944 - Princeton,: Princeton University Press. Edited by C. Truesdell.
Methods of logic.Willard Van Orman Quine - 1950 - Cambridge, Mass.: Harvard University Press.
Philosophy of Logic.W. V. O. Quine - 2005-01-01 - In José Medina & David Wood (eds.), Truth. Blackwell.

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