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On the Fourth Figure

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The Logic of Gersonides

Part of the book series: The New Synthese Historical Library ((SYNL,volume 40))

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Abstract

260. In the fourth figure the moods that yield a conclusion are of necessity the moods that yield in the first figure because the premises are the same, except that the minor in this figure is the major in the first figure. It is clear that premises that satisfy syllogistic conditions will also satisfy the syllogistic conditions when their position has changed. For the conditions concerning the middle term, and the universality in one premise, and the affirmation in the other premise, do not change when the position of the premises has changed. But rather, what satisfied these conditions will also satisfy them when the major becomes the minor. All of this is self-evident. If <a syllogism> does not satisfy these conditions then it will not satisfy them when the major becomes the minor.

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Notes

  1. Lit. ‘its negation will be true of c’.

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  2. Reading v-sh-m-n-h as u-shemonah (‘and eight’) rather than ve-she-manah (‘and who counted’). Neither reading is satisfactory, and I suspect that something was omitted.

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  3. I.e., in almost every syllogism it is possible to convert a conclusion that is other than the quaesitum to one that is the quaesitum. The exception is where the conclusion is particular negative, since O-sentences do not convert.

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  4. I.e., a premise.

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  5. The mss add’ some a is c’ as a premise, which is, of course, mistaken.

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  6. ‘al ha-minhag ha-tib’i, lit.: ‘in the manner of natural custom’.

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  7. nose’ be-’ezem.

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  8. On the circular syllogism see Averroes, Middle Commentary on the Prior Analytics, fols. 132r-134v (Prior Analytics II.5-7). Cf. C. Prior Analytics, fols. 236v-239r.

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© 1992 Springer Science+Business Media Dordrecht

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Manekin, C.H. (1992). On the Fourth Figure. In: The Logic of Gersonides. The New Synthese Historical Library, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2614-4_18

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  • DOI: https://doi.org/10.1007/978-94-011-2614-4_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5155-2

  • Online ISBN: 978-94-011-2614-4

  • eBook Packages: Springer Book Archive

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