• Language and Information
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• v.14 no.2
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• pp.17-32
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• 2010

Distributivity has been one of the central topics in formal semantics. However, no due attention has been paid to embedded distributivity that very frequently occurs in natural languages. In this paper, I propose a formal analysis for embedded distributivity. In analyzing embedded distributivity, I employ no complicated mechanisms but pluralization. Since distributivity is reduced to plurality as Landman (2000) argues, employing plural formation is not an ad hoc approach to embedded distributivity. That is, the plural variable inserted in the process of deriving embedded distributivity is motivated in a principled manner since the pluralization occurs inside a pluralization operator. Moreover, I point out that the plural variable made available is not restricted to entities.

• Language and Information
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• v.2 no.1
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• pp.106-115
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• 1998

It has been suggested in the linguistics literature that quantification and distributivity are closely related phenomena and some linguists claimed that distributivity should be marked on quantifiers(determiners) as well as on predicates. I would challenge the claim that quantificational determiners should be classified in terms of distributivity. I suggest, on the empirical grounds, that distributivity is essentially a phenomenon over(one-place) predicates in a broad sense.

• Journal of the Korean Data and Information Science Society
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• v.14 no.1
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• pp.93-101
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• 2003

Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy quantities based on the extension principle suggested by Mare (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous t-norm which holds the distributivity under t-norm based fuzzy arithmetic operations.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.22-24
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• 2002

Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.

• Kyungpook Mathematical Journal
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• v.55 no.1
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• pp.13-20
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• 2015

As a vector space provides a fundamental tool for the study of Euclidean geometry, a gyrovector space provides an algebraic tool for the study of hyperbolic geometry. In general, the gyrovector spaces do not satisfy the distributivity with scalar multiplication. In this article, we see under what condition the distributivity with scalar multiplication is satisfied.

• Language and Information
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• v.12 no.2
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• pp.77-93
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• 2008

This paper examines a condition that licenses distributivity. Choe (1987) and Link (1998) have proposed an indefiniteness condition on distributivity. However, detecting counter-examples, Zimmermann (2002) has argued for a non-specificity condition. This paper primarily revises the indefiniteness/non-specificity condition. Observing that the systematic class of the exceptions belongs to weak definites proposed by Poesio (1994), I claim that the property that constrains distributivity is non-strong-definiteness. Based on Landman (2000), I further explain the non-strong-definiteness condition and argue that the condition does not need to be imposed on the grammar independently. The new condition naturally accounts for Spector's (2003) scopal asymmetry. Even more, defining donkey pronouns as weak definites, I cope with various properties of donkey sentences.

• Language and Information
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• v.12 no.1
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• pp.67-83
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• 2008

The semantics of whole involves distributivity, which may not be accounted for by the distributive operator for plurals or quantifiers. I review the pragmatic approach to whole by Moltmann (2005) and propose that the semantics of whole can be explained by the member specification function, which maps a group to its members. Although NPs with whole are morphologically singular, they become semantically plural with the application of the function. The distributive operator for plurals is introduced on a sentence with whole, which explains the distributivity of whole.

• Proceedings of the Korean Society for Language and Information Conference
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• 1991.02a
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• pp.4-25
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• 1991

• The Mathematical Education
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• v.33 no.1
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• pp.129-136
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• 1994

• The Mathematical Education
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• v.29 no.1
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• pp.49-50
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• 1990