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Questions on the Classical Schemes of Inference

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On the Logos: A Naïve View on Ordinary Reasoning and Fuzzy Logic

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 354))

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Abstract

In the classical calculus with precise concepts, some schemes of deductive inference are used such as the modus ponens (MP), and the modus tollens (MT), but also the so-called disjunctive mode, among others. They are instances of what is often known as the Aristotelian logical forms, and are of some interest for the mechanizing of formal deduction.

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References

  1. E. Trillas, C. Alsina, E. Renedo, On some schemes of reasoning in fuzzy logic. New Math. Nat. Comput 7(3), 433–451 (2011)

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  2. F. Bex, Ch. Reed, Schemes of inference, conflict, and preference in a computational model of argument. Stud. Logic Grammar Rhetoric 27(36), 39–53 (2011)

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  3. Sister Miriam Joseph, The Trivium: The Liberal Arts of Logic, Grammar, and Rhetoric (Paul Dry Books, Philadelphia, 2002)

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Correspondence to Enric Trillas .

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Trillas, E. (2017). Questions on the Classical Schemes of Inference. In: On the Logos: A Naïve View on Ordinary Reasoning and Fuzzy Logic. Studies in Fuzziness and Soft Computing, vol 354. Springer, Cham. https://doi.org/10.1007/978-3-319-56053-3_16

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  • DOI: https://doi.org/10.1007/978-3-319-56053-3_16

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