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Sets and Numbers

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0001
Subject:
Economics and Finance, Econometrics

This chapter covers set theory. The topics including set algebra, relations, orderings and mappings, countability and sequences, real numbers, sequences and limits, and set classes including monotone ... More


Topology

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0006
Subject:
Economics and Finance, Econometrics

This chapter discusses topological spaces and associated concepts, including first‐ and second‐countability, compactness, and separation properties. Weak topologies are defined. The case of product ... More


Identity and Unity

E. J. Lowe

in The Possibility of Metaphysics: Substance, Identity, and Time

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199244997
eISBN:
9780191597930
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199244995.003.0003
Subject:
Philosophy, Metaphysics/Epistemology

The relationship between the notion of an object and the notion of unity is discussed. It is argued that we should acknowledge the possible existence of entities belonging to certain ontological ... More


Countability and numeral classifiers in Mandarin Chinese

Niina Ning Zhang

in Count and Mass Across Languages

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199654277
eISBN:
9780191746048
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654277.003.0012
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This chapter studies the relationship between classifiers and the count-mass contrast. It shows that the contrast between count and mass is not binary. Instead, there are two independently attested ... More


Decomposing the mass/count distinction: Evidence from languages that lack it *

Martina Wiltschko

in Count and Mass Across Languages

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199654277
eISBN:
9780191746048
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654277.003.0009
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This chapter establishes that not all languages have a grammaticized mass/count distinction and consequently we have to distinguish between ontological properties associated with nouns and ... More


Categorization as noun construction: Gender, number, and entity types

Paolo Acquaviva

in Gender and Noun Classification

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198828105
eISBN:
9780191866777
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828105.003.0003
Subject:
Linguistics, Syntax and Morphology, Theoretical Linguistics

Chapter 3 articulates a proposal about how syntax encodes the fundamental parameters of noun lexical semantics: entity type, part structure, atomicity, and numerosity, represented at different ... More


Non-canonical gender in African languages: A typological survey of interactions between gender and number, and between gender and evaluative morphology

Francesca Di Garbo and Yvonne Agbetsoamedo

in Non-Canonical Gender Systems

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198795438
eISBN:
9780191836732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795438.003.0008
Subject:
Linguistics, Syntax and Morphology, Theoretical Linguistics

This chapter investigates interactions between gender and number, and between gender and evaluative morphology in eighty-four African languages. It argues that interactions of gender with other ... More


Sets and Numbers

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
2021
Published Online:
November 2021
ISBN:
9780192844507
eISBN:
9780191927201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844507.003.0001
Subject:
Economics and Finance, Econometrics

This chapter covers set theory. The topics include set algebra, relations, orderings and mappings, countability and sequences, real numbers, sequences and limits, and set classes including monotone ... More


Topology

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
2021
Published Online:
November 2021
ISBN:
9780192844507
eISBN:
9780191927201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844507.003.0006
Subject:
Economics and Finance, Econometrics

This chapter discusses topological spaces and associated concepts, including first‐ and second‐countability, compactness, and separation properties. Weak topologies are defined. Product spaces, the ... More


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