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Formal theory of quantifiers in natural language and their syllogisms
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Quantifiers occur in natural language as expressions using which we quantify a number of some objects in a given universe. A special class of them are intermediate quantifiers, for example, many, most, almost all, a few, a little and others. A detailed elaboration of the latter is provided in Peterson (2000). Their formal theory was established in (Novák, 2008). According to it, intermediate quantifiers form a special theory TIQ of higher-order fuzzy logic (fuzzy type theory) (FTT) with models based on the standard Łukasiewicz MVΔ-algebra.
Title: Formal theory of quantifiers in natural language and their syllogisms
Description:
Quantifiers occur in natural language as expressions using which we quantify a number of some objects in a given universe.
A special class of them are intermediate quantifiers, for example, many, most, almost all, a few, a little and others.
A detailed elaboration of the latter is provided in Peterson (2000).
Their formal theory was established in (Novák, 2008).
According to it, intermediate quantifiers form a special theory TIQ of higher-order fuzzy logic (fuzzy type theory) (FTT) with models based on the standard Łukasiewicz MVΔ-algebra.
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