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Deduction

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Full-Text Articles in Ancient Philosophy

Cicero, On Invention 1.51-77: Hypothetical Syllogistic And The Early Peripatetics, William W. Fortenbaugh Dec 1996

Cicero, On Invention 1.51-77: Hypothetical Syllogistic And The Early Peripatetics, William W. Fortenbaugh

The Society for Ancient Greek Philosophy Newsletter

In the course of this paper, I shall say some things about Cicero’s discussion of induction, but my primary concern will be with his account of deduction. In particular, I want to call attention to Cicero’s argument for a quinquepartite analysis of deductive reasoning (Ded. 3). It is remarkable in that it makes elaborate use of the mixed hypothetical syllogism, and also of some importance in that it supplements our evidence for early Peripatetic interest in syllogisms of this land. Recent scholarship on the history of ancient logic has generally focused on later sources—like Alexander of Aphrodisias, Boethius, Philoponus and …


The Birth Of Logic, John Corcoran Apr 1991

The Birth Of Logic, John Corcoran

The Society for Ancient Greek Philosophy Newsletter

The last two decades have witnessed a debate concerning whether Aristotle's syllogistic is a system of deductive discourses having epistemic import exemplifying an Aristotelian theory of deductive reasoning and justifying the claim that Aristotle is the founder of logic taken as the scientific study of proof or whether, on the contrary, the syllogistic is a system of true propositions of a theory of classes justifying the claim that Aristotle is the founder of logic is taken as the scientific study of formal relations such as class inclusion. An epistemically-oriented interpretation has been contending with an ontically-oriented interpretation. This debate should …