Titlebook: Aristotle‘s Modal Proofs; Prior Analytics A8-2 Adriane Rini Book 2011 Springer Science+Business Media B.V. 2011 Ancient logic.Aristotle.Mod

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First Figure X+Q (A15)This chapter considers other mixed modal syllogisms involving Q-contingency. All of the first figure X+Q syllogisms, including Barbara XQM, are listed in Table 21.

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First Figure L+Q, Q+L (A16)In . A16 Aristotle describes first figure syllogisms in which one premise is an apodeictic L-proposition and the other premise is a proposition about Q-contingency.

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Contingency in the 2nd Figure (A17–19)When we turn to consider . A17 where Aristotle discusses Q+Qs in the second figure, we find something very different right at the start. There are not any valid second figure Q+Q syllogisms.

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Aristotle‘s Modal Proofs978-94-007-0050-5Series ISSN 1879-8578 Series E-ISSN 2352-2585

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,Methoden der Funktionsprüfung,from non-modal premises. Aristotle discusses these in . A1–7. The assertoric syllogistic provides the foundation for the entire syllogistic system. Aristotle’s methods in the assertoric syllogistic are generally clear, easy to understand, and, as Aristotle scholarship goes, the methods here are relatively uncontroversial.

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https://doi.org/10.1007/978-3-662-42471-1unts. Albrecht Becker argues that the modal syllogistic falls apart because Aristotle makes a crucial mistake involving two different uses of .. (Becker 1933, pp. 41 – 43) Becker notices that Aristotle’s modal syllogisms appear to require that necessity acts as a qualifier on terms.

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https://doi.org/10.1007/978-3-662-25803-3that ‘Aristotle’s doctrine of substance is integral to most of his philosophical work, not, however, to his strictly formal logic – a discipline which he inaugurated.’ (Anscombe 1961, p. vi) Whether or not Anscombe is correct it certainly seems clear that Aristotle thought that there could be no . syllogizing about what could be otherwise.