Modern logicians have sought to unlock the modal secrets of Aristotle's Syllogistic by assuming a version of essentialism and treating it as a primitive within the semantics. These attempts ultimately distort Aristotle's ontology. None of these approaches make full use of tests found throughout Aristotle's corpus and ancient Greek philosophy. I base a system on Aristotle's tests for things that can never combine (polarity) and things that can never separate (inseparability). The resulting system not only reproduces Aristotle's recorded results for the apodictic syllogistic in the Prior Analytics but it also generates rather than assumes Aristotle's distinctions among `necessary', `essential' and `accidental'. By developing a system around tests that are in Aristotle and basic to ancient Greek philosophy, the system is linked to a history of practices, providing a platform for future work on the origins of logic.
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Harari, Orna;
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Knowledge and Demonstration: Aristotle's Posterior Analytics
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Aristotle's “Genetic Account” and the Problem of Induction
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Detel, Wolfgang;
(2007)
Logic and Experience in Aristotle
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Halonen, Ilpo;
Hintikka, Jaakko;
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Aristotelian explanations
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Piero Tarantino;
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L'origine della nozione aristotelica di "scienza dimostrativa"
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Rijk, Lambertus Marie de;
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Aristotle: Semantics and Ontology
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Pasquale, Gianluigi;
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Aristotle and the Principle of Non-Contradiction
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Philoponus on the Nature of Logic
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Il sistema assiomatico-deduttivo degli Elementi armonici di Aristosseno
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(2012)
Unity in Aristotle's Metaphysics H6
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Theodor Ebert;
Ron Polansky;
(2015)
What is a Perfect Syllogism in Aristotelian Syllogistic?
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Schiefsky, Mark;
(2009)
Structures of Argument and Concepts of Force in the Aristotelian Mechanical Problems
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Tennant, Neil;
(2014)
Aristotle's Syllogistic and Core Logic
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Tipton, Jason A.;
(2014)
Philosophical Biology in Aristotle's Parts of Animals
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Bruun, Otto;
Corti, Lorenzo;
(2005)
Les catégories et leur histoire
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Castagnoli, Luca;
(2001)
L'[Greek transliteration begin]elegxoς[Greek transliteration end] di Agatone: Una rilettura di Platone, Simposio, 199c3-201c9
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Honnefelder, Ludger;
Wood, Rega;
Dreyer, Mechthild;
Aris, Marc-Aeilko;
(2005)
Albertus Magnus und die Anfänge der Aristoteles-Rezeption im lateinischen Mittelalter: von Richardus Rufus bis zu Franciscus de Mayronis = Albertus Magnus and the Beginnings of the Medieval Reception of Aristotle in the Latin West: From Richardus Rufus to Franciscus de Mayronis
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Christopher Izgin;
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Internal Negation and the Principles of Non-Contradiction and of Excluded Middle in Aristotle
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Papaziana, Michael;
(2012)
Chrysippus Confronts the Liar: The Case for Stoic Cassationism
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Black, Deborah L.;
(2008)
Al-Fārābī on Meno's Paradox
(/isis/citation/CBB001022532/)
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