Hypothetical Syllogistic and Stoic LogicBRILL, 2001 - 143 páginas This volume traces the development of Aristotle's hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle's later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius's "On hypothetical syllogisms and On Cicero's Topics," which carried this conflation into the Middle Ages. |
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account of hypothetical affirmation affirming the consequent Alexander Alexander's list argument Aristotle Aristotle's bequeathed Boethius Boethius's Cassiodorus categorical statements categorical syllogisms claim commentary conditional sentence conflation of Peripatetic connective statements denying the antecedent direct syllogism discussed disjoined proposition disjunctive statement disjunctive syllogisms division of hypothetical Dürr early Peripatetic account early Peripatetic hypothetical Eudemus Galen gism hypo hypothesis hypothetical statements Ibid ISBN 90 Kneales logic for sentences logical syntax main operator major premiss monograph negated conjunction Neo-Peripatetic Obertello Peripatetic and Stoic Peripatetic hypothetical syllogistic Peripatetic logic Peripatos Philoponus Prior Analytics propositio qualitative syllogism quod relation of entailment schemata semantic sentential logic separative statement seventh modes sixth and seventh statements expressing Stoic indemonstrables Stoic logic Stoic theory substitutional syllogism syllogism through impossibility syntactic Theophrastus Theophrastus and Eudemus thetical thing third mode totally hypothetical syllogism types of hypothetical δὲ εἰ εἶναι ἐξ ἐστιν καὶ μὲν μὴ ὄντος ὅτι τὸ τοῦ τῶν