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Truth, etc.Six Lectures on Ancient Logic$
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Jonathan Barnes

Print publication date: 2009

Print ISBN-13: 9780199568178

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199568178.001.0001

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The Science of Logic

The Science of Logic

(p.360) 5. The Science of Logic
Truth, etc.

Jonathan Barnes

Oxford University Press

In his Elements, Euclid first sets down certain primary truths or axioms and then deduces from them a number of secondary truths or theorems. Before ever Euclid wrote, Aristotle had described and commended that rigorous conception of a science for which the Elements was to provide a perennial paradigm. All sciences, in Aristotle's view, ought to be presented as axiomatic deductive systems — that is one of the main messages of the Posterior Analytics. And the deductions which derive the theorems of any science from its axioms must be syllogisms — that is a main message of the Prior Analytics. He never says in so many words that logic is a science. Indeed, he never uses the formula ‘syllogistic science’, nor any near equivalent.

Keywords:   Elements, Euclid, truths, Posterior Analytics, logic, science, Aristotle, syllogisms, axioms

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