Abstract
Aristotle’s study of syllogisms involving necessity follows a precise structure. As we saw in the previous chapter, Prior Analytics A8 gives a brief but sweeping description of all syllogisms from two premises about necessity (apodeictic premises). The focus of the next three chapters is Aristotle’s discussion of necessity in An.Pr. A9–11, where he studies syllogisms in which one premise is necessary and the other is assertoric (or non-modal). These are L+X and X+L premise combinations. Aristotle devotes great care to explaining these.
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Bibliography
Nortmann, U. 1996, Modale Syllogismen, mögliche Welten, Essentialismus: eine Analyse der aristotelischen Modallogik. Berlin, NY: Walter de Gruyter.
Thom, P. 1991, ‘The two Barbaras’. History and Philosophy of Logic 12: 135–149.
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Rini, A. (2010). First Figure Mixed Apodeictic Syllogisms. In: Aristotle's Modal Proofs. The New Synthese Historical Library, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0050-5_7
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DOI: https://doi.org/10.1007/978-94-007-0050-5_7
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