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Allan Bäck

Syllogism

From Handbook of Mereology

ISBN: 978-3-88405-675-2

Preis: €9.80 (inkl. 19 % MwSt.)


Before Aristotle ‘syllogism’ had the general sense of ‘reckoning up’ or ‘inference’ (Herodotus, Histories 2.148; Plato, Republic 516B). But Aristotle narrowed the usage. The precise nature of what counts as a syllogism for Aristotle is obscure. It does not include all the arguments that would be reckoned valid today in a system of predicate logic, e.g. those having no or only one premise (µονολήµµατα). On the other hand, Aristotle, outside of his syllogistic proper, does not restrict ‘syllogism’ to arguments having only two premises in the canonical forms (A, E, I, O) standardised in later textbooks (Prior Analytics 24 b 19- 20; Topics 100 a 25-7; Sophistical Refutations 164 b 27-165 a 2; Rhetoric 1356 b 16-8; Smith 1989, xvi). He does make that restriction once he discusses his categorical syllogistic with its three figures (Prior Analytics, 25 b 32-5; 41 b 36- 8; 42 a 30-3; 44 b 6-8). Alexander, 8, 19-24; 20, 24-6, is right to insist that Aristotle develops his syllogistic to construct the logical theory for his demonstrative science. So perhaps he focuses on syllogisms having those forms of use to him….




 


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