Aristotle: an ancient mathematical logician

George Boger
Canisius College
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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References found in this work BETA

Philosophy of Logic.Michael Jubien & W. V. Quine - 1988 - Journal of Symbolic Logic 53 (1):303.
Aristotle: Posterior Analytics.John W. Konkle & Jonathan Barnes - 1995 - Philosophical Quarterly 45 (181):510.
Aristotle's Prior Analytics.Robin Smith - 1989 - Hackett Publishing Company.
The Founding of Logic.John Corcoran - 1994 - Ancient Philosophy 14 (Special Issue):9-24.

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