Syllogisms and 5-Square of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic

Logica Universalis 10 (2-3):339-357 (2016)
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Abstract

In this paper, we provide an overview of some of the results obtained in the mathematical theory of intermediate quantifiers that is part of fuzzy natural logic. We briefly introduce the mathematical formal system used, the general definition of intermediate quantifiers and define three specific ones, namely, “Almost all”, “Most” and “Many”. Using tools developed in FNL, we present a list of valid intermediate syllogisms and analyze a generalized 5-square of opposition.

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Citations of this work

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Aristotle's Prior and Posterior Analytics.W. D. Ross - 1949 - Philosophy 25 (95):380-382.
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Book Reviews. [REVIEW]P. Hájek - 2002 - Studia Logica 72 (3):433-443.
The power of the hexagon.Jean-Yves Béziau - 2012 - Logica Universalis 6 (1-2):1-43.
Sur l'opposition des concepts.Robert Blanche - 1953 - Theoria 19 (3):89-130.

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