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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

Chapter:
(p.360) 5. The Science of Logic
Source:
Truth, etc.
Author(s):

Jonathan Barnes

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199568178.003.0005

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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