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GROUPS AND CATEGORIES

Steve Awodey

in Category Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.003.0004
Subject:
Mathematics, Algebra

This chapter focuses on some of the connections between groups and categories. It focuses on three different aspects of the relationship between categories and groups: groups in a category, the ... More


Category Theory

Steve Awodey

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.001.0001
Subject:
Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More


Fourier-Mukai Transforms in Algebraic Geometry

D. Huybrechts

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.001.0001
Subject:
Mathematics, Geometry / Topology

This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this ... More


Set Theory: Boolean-Valued Models and Independence Proofs

John L. Bell

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568520
eISBN:
9780191717581
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568520.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This is the third edition of a well-known graduate textbook on Boolean-valued models of set theory. The aim of the first and second editions was to provide a systematic and adequately motivated ... More


Understanding Figurative Language: From Metaphor to Idioms

Sam Glucksberg

Published in print:
2001
Published Online:
January 2008
ISBN:
9780195111095
eISBN:
9780199872107
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195111095.001.0001
Subject:
Psychology, Cognitive Psychology

The book presents a comprehensive account of how people understand metaphors and idioms in everyday discourse. Traditionally, figurative language has been considered to be derived from and more ... More


Conclusion and prospects

Claude Hagège

in Adpositions

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199575008
eISBN:
9780191722578
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575008.003.0006
Subject:
Linguistics, Syntax and Morphology

This concluding chapter begins with a review of discussions in the preceding chapters. It then discusses adpositions as morpholexical units shedding light on a theory of linguistic categories; ... More


The Kantian Aesthetic: From Knowledge to the Avant-Garde

Paul Crowther

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199579976
eISBN:
9780191722615
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579976.001.0001
Subject:
Philosophy, Aesthetics, History of Philosophy

This book explains the perceptual knowledge involved in aesthetic judgements. It does so by linking Kant's aesthetics to a critically upgraded account of his theory of knowledge. This upgraded theory ... More


Risk

Jonathan Wolff and Avner De-Shalit

in Disadvantage

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199278268
eISBN:
9780191707902
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278268.003.0004
Subject:
Political Science, Political Theory

This chapter argues the importance of examining not only what functionings a person achieves, but also his or her prospect of securing and sustaining a level of functioning should he or she attempt ... More


Language: A Biological Model

Ruth Garrett Millikan

Published in print:
2005
Published Online:
February 2006
ISBN:
9780199284764
eISBN:
9780191603167
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199284768.001.0001
Subject:
Philosophy, Philosophy of Language

Guiding the work of most linguists and philosophers of language today is the assumption that language is governed by rules. This volume presents a different way of viewing the partial regularities ... More


The Evolution of the Rules of the Societal Games

Masahiko Aoki

in Corporations in Evolving Diversity: Cognition, Governance, and Institutional Rules

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199218530
eISBN:
9780191711510
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199218530.003.0004
Subject:
Business and Management, Corporate Governance and Accountability, Strategy

Based on the recent development of epistemic game theory, this chapter attempts to resolve longstanding contested issues across social science disciplines about the nature and origin of institutions. ... More


CATEGORIES OF DIAGRAMS

Steve Awodey

in Category Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.003.0008
Subject:
Mathematics, Algebra

This chapter presents the proof for the Yoneda Lemma, which is probably the single most used result in category theory. It is interesting how often it comes up, especially in view of the fact that it ... More


The Four-Category Ontology: A Metaphysical Foundation for Natural Science

E. J. Lowe

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199254392
eISBN:
9780191603600
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199254397.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

The four-category ontology is a metaphysical system recognizing two fundamental categorial distinctions — these being between the particular and the universal, and between the substantial and the ... More


The Comparative Study of Social Mobility

Richard Breen

in Social Mobility in Europe

Published in print:
2004
Published Online:
November 2004
ISBN:
9780199258451
eISBN:
9780191601491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199258457.003.0001
Subject:
Political Science, European Union

Outlines the objectives and layout of the volume; discusses the main theories that have guided empirical research on intergenerational social mobility and the findings of this research; and explains ... More


Order in Multiplicity: Homonymy in the Philosophy of Aristotle

Christopher Shields

Published in print:
2002
Published Online:
November 2003
ISBN:
9780199253074
eISBN:
9780191598401
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199253072.001.0001
Subject:
Philosophy, Ancient Philosophy

Aristotle regularly identifies philosophical and scientific concepts as homonymous; indeed, his preoccupation with homonymy influences his approach to many subjects and clearly structures his ... More


CONSTRUCTIVE SET THEORIES AND THEIR CATEGORY-THEORETIC MODELS

Alex Simpson

in From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566519
eISBN:
9780191713927
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566519.003.0003
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter advocates a pragmatic approach to constructive set theory, using axioms based solely on set-theoretic principles that are directly relevant to (constructive) mathematical practice. The ... More


Why generalizations are learned

Adele Goldberg

in Constructions at Work: The Nature of Generalization in Language

Published in print:
2005
Published Online:
September 2007
ISBN:
9780199268511
eISBN:
9780191708428
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199268511.003.0006
Subject:
Linguistics, Theoretical Linguistics

As many psychologists have emphasized, human categorization is generally driven by some functional pressure, typically the need to predict or infer certain properties on the basis of perceived ... More


Mombasa, the Swahili, and the Making of the Mijikenda

Justin Willis

Published in print:
1993
Published Online:
October 2011
ISBN:
9780198203209
eISBN:
9780191675782
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198203209.001.0001
Subject:
History, World Modern History

This is a history of the Kenyan city of Mombasa and its surrounding settlements from the mid-19th century to the height of colonial rule in the 1930s. The book places the island and town of Mombasa ... More


Triangulated Categories

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0001
Subject:
Mathematics, Geometry / Topology

Reviewing the basic notions of additive and abelian categories, left and right adjoint functors, and Serre functors, this chapter is mainly devoted to triangulated categories. In particular, criteria ... More


Derived Categories: A Quick Tour

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter briefly outlines the main steps in the construction of the derived category of an arbitrary abelian category. The homotopy category of complexes is considered as an intermediate step, ... More


The Ideal Language Project and the Non‐discrete

Henry Laycock

in Words without Objects: Semantics, Ontology, and Logic for Non-Singularity

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199281718
eISBN:
9780191603594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199281718.003.0006
Subject:
Philosophy, Philosophy of Language

The notion of an ‘ideal language’ or ‘concept-script’ is explicated and defended, and constraints upon formal systems imposed by the ideal of transparency are explored. It is argued that non-singular ... More


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