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Moded Diagrams for Moded Syllogisms

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Diagrammatic Representation and Inference (Diagrams 2018)

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Abstract

In this contribution we present an extension of Englebretsen’s linear diagrams in order to deal with non-classical quantifiers.

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References

  1. Sommers, F.: The Logic of Natural Language. Clarendon Library of Logic and Philosophy. Clarendon Press/Oxford University Press, New York, Oxford (1982)

    Google Scholar 

  2. Thompson, B.: Syllogisms using “few”, “many”, and “most”. Notre Dame J. Form. Log. 23(1), 75–84 (1982)

    Article  MathSciNet  Google Scholar 

  3. Peterson, P.L.: On the logic of “few”, “many”, and “most”. Notre Dame J. Form. Log. 20(1), 155–179 (1979)

    Article  MathSciNet  Google Scholar 

  4. Mostowski, A.: On a generalization of quantifiers. Fundam. Math. 44(2), 12–36 (1957)

    Article  MathSciNet  Google Scholar 

  5. Englebretsen, G.: Linear diagrams for syllogisms (with relationals). Notre Dame J. Form. Log. 33(1), 37–69 (1991)

    Article  MathSciNet  Google Scholar 

  6. Englebretsen, G.: Something to Reckon with: The Logic of Terms. Canadian Electronic Library: Books Collection. University of Ottawa Press, Ottawa (1996)

    Google Scholar 

  7. Thompson, B.: Syllogisms with statistical quantifiers. Notre Dame J. Form. Log. 27(1), 93–103 (1986)

    Article  MathSciNet  Google Scholar 

  8. Khemlani, S., Johnson-laird, P.N.: Theories of the syllogism: a meta-analysis. Psychol. Bull. 138, 427–457 (2012)

    Article  Google Scholar 

  9. Mozes, E.: A deductive database based on aristotelian logic. J. Symb. Comput. 7(5), 487–507 (1989)

    Article  MathSciNet  Google Scholar 

  10. Veatch, H.B.: Intentional Logic: A Logic Based on Philosophical Realism. Archon Books, Hamden (1970)

    Google Scholar 

  11. Englebretsen, G., Sayward, C.: Philosophical Logic: An Introduction to Advanced Topics. Bloomsbury Academic, London (2011)

    Google Scholar 

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Correspondence to José Martín Castro-Manzano .

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Castro-Manzano, J.M., Pacheco-Montes, J.R. (2018). Moded Diagrams for Moded Syllogisms. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds) Diagrammatic Representation and Inference. Diagrams 2018. Lecture Notes in Computer Science(), vol 10871. Springer, Cham. https://doi.org/10.1007/978-3-319-91376-6_75

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  • DOI: https://doi.org/10.1007/978-3-319-91376-6_75

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91375-9

  • Online ISBN: 978-3-319-91376-6

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