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

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.
Keywords Aristotle square of opposition  fuzzy natural logic  intermediate generalized quantifiers  generalized Peterson’s square of opposition
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DOI 10.1007/s11787-016-0146-z
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References found in this work BETA

The Power of the Hexagon.Jean-Yves Béziau - 2012 - Logica Universalis 6 (1-2):1-43.
Linguistics and Natural Logic.George Lakoff - 1970 - Synthese 22 (1-2):151 - 271.
Sur l'opposition des concepts.Robert Blanche - 1953 - Theoria 19 (3):89-130.
“Setting” N-Opposition.Régis Pellissier - 2008 - Logica Universalis 2 (2):235-263.

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The Vatican Square.Jean-Yves Beziau & Raffaela Giovagnoli - 2016 - Logica Universalis 10 (2-3):135-141.

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