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  1. What is a Syllogism?T. J. Smiley - 1973 - Journal of Philosophical Logic 2 (1):136 - 154.
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  • Validity, the Squeezing Argument and Alternative Semantic Systems: The Case of Aristotelian Syllogistic. [REVIEW]Andrade-Lotero Edgar & Novaes Catarina Dutilh - 2012 - Journal of Philosophical Logic 41 (2):387 - 418.
    We investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran's deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, the (...)
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  • Aristotle.Benjamin Morison - 2013 - Phronesis 58 (3):301-318.
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  • What is a Perfect Syllogism.Benjamin Morison - 2015 - Oxford Studies in Ancient Philosophy 48:107-166.
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  • Aristotle.Jonathan Barnes - 1975 - In R. M. Hare, Jonathan Barnes & Henry Chadwick (eds.), Founders of Thought. Oxford University Press.
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  • Completeness of an Ancient Logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
    In previous articles, it has been shown that the deductive system developed by Aristotle in his "second logic" is a natural deduction system and not an axiomatic system as previously had been thought. It was also stated that Aristotle's logic is self-sufficient in two senses: First, that it presupposed no other logical concepts, not even those of propositional logic; second, that it is (strongly) complete in the sense that every valid argument expressible in the language of the system is deducible (...)
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  • A Non-Extensional Notion of Conversion in the Organon.Marko Malink - 2009 - Oxford Studies in Ancient Philosophy 37:105 - 142.
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  • Aristotle, Etc. [REVIEW]Ben Morison - 2008 - Phronesis 53 (2):209-222.
    Notes on recent books about Aristotle, including Jonathan Barnes, Truth etc.
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  • Parts, Quantification and Aristotelian Predication.Mario Mignucci - 2000 - The Monist 83 (1):3-21.
    Reading through the Corpus Aristotelicum we come across a group of expressions meant to indicate predicative relations, which lead us to think that Aristotle connected predication to a part-whole relation. He frequently calls the ‘εἴδη’, “species”, ‘μέρη’, “parts”, of their genera. More generally, the universal is said to contain that of which it is true. In a parallel way, what is contained by something is also what is under something else. Again, it is quite common for him to consider the (...)
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  • Aristotle'S Natural Deduction Reconsidered.John M. Martin - 1997 - History and Philosophy of Logic 18 (1):1-15.
    John Corcoran?s natural deduction system for Aristotle?s syllogistic is reconsidered.Though Corcoran is no doubt right in interpreting Aristotle as viewing syllogisms as arguments and in rejecting Lukasiewicz?s treatment in terms of conditional sentences, it is argued that Corcoran is wrong in thinking that the only alternative is to construe Barbara and Celarent as deduction rules in a natural deduction system.An alternative is presented that is technically more elegant and equally compatible with the texts.The abstract role assigned by tradition and Lukasiewicz (...)
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  • A Non-Extensional Notion of Conversion in the Organon.Marko Malink - 2009 - Oxford Studies in Ancient Philosophy 37:105-141.
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  • Aristotle on Predication.Phil Corkum - 2015 - European Journal of Philosophy 23 (3):793-813.
    A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle the (...)
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  • A Mathematical Model of Aristotle’s Syllogistic.John Corcoran - 1973 - Archiv für Geschichte der Philosophie 55 (2):191-219.
    In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...)
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  • Truth, Etc.Jonathan Barnes - 2007 - Bulletin of Symbolic Logic 13 (4):549-552.
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  • Alexandri in Aristotelis Analyticorum Priorum Librum I Commentarium.Maximilian Alexander & Wallies - 1888 - Reimer.
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  • Die Entwicklung der Aristotelischen Logik Und Rhetorik.Friedrich Solmsen - 1929 - Weidmann.
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