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On Syllogisms Mixed from Necessary and Possible Premises

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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

381. The mode of the conclusion of the mixture of the necessary and the possible in the first figure will be according to what I shall say: If the major <premise> is possible then the conclusion will be possible in the manner of the possibility of the major, I mean that if this possibility is essential then the conclusion will be essentially possible, and if it is incidentally possible, then the conclusion will be incidentally possible. <This is so> despite the fact that <the conclusion> happens to be on occasion incidentally necessary because the incidentally necessary <premise> will be true when posited as possible.a This will become clear from the premises themselves, for since the minor extreme is always subsumed under the middle term, bit will have the major extreme predicated of itb in the very same mode that <the major> was predicated of the middle term.

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Notes

  1. Le, ‘Everything walking is moving’, which is incidentally necessary, can be posited as ‘Everything walking may be moving’.

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  2. Lit.: ‘the predication of the major premise will be true of it’.

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  3. See §331 above.

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© 1992 Springer Science+Business Media Dordrecht

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Manekin, C.H. (1992). On Syllogisms Mixed from Necessary and Possible Premises. In: The Logic of Gersonides. The New Synthese Historical Library, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2614-4_25

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  • DOI: https://doi.org/10.1007/978-94-011-2614-4_25

  • 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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