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 The Basic Structure of Repeated Games with Imperfect Public Monitoring

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0007
Subject:
Economics and Finance, Behavioural Economics

This chapter provides the basic technical tools for working with games of imperfect public monitoring, with games of perfect monitoring as a special case. It introduces the central notions of a ... More


Recursion, phonological storage capacity, and the evolution of modern speech

Frederick L. Coolidge and Thomas Wynn

in The Prehistory of Language

Published in print:
2009
Published Online:
May 2010
ISBN:
9780199545872
eISBN:
9780191720369
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199545872.003.0013
Subject:
Linguistics, Sociolinguistics / Anthropological Linguistics, Psycholinguistics / Neurolinguistics / Cognitive Linguistics

Recursion is considered to be the hallmark of modern language. This chapter addresses fundamental questions about its evolutionary emergence: ‘What is the relationship of recursion to modern language ... More


UNIVERSES IN TOPOSES

Thomas Streicher

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/9780198566519.003.0005
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter discusses a notion of universe in toposes, which from a logical point of view gives rise to an extension of Higher Order Intuitionistic Arithmetic (HAH). In this way, one can construct ... More


Dedekind

Michael Potter

in Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

Dedekind was explicit, as Frege was, that ‘arithmetic is part of logic’, by which he meant to imply that he considered ‘the number concept entirely independent of the notions or intuitions of space ... More


The Components of Language: What's Specific to Language, and What's Specific to Humans 1

Steven Pinker and Ray Jackendoff

in Language Universals

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195305432
eISBN:
9780199866953
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195305432.003.0007
Subject:
Psychology, Cognitive Psychology, Cognitive Models and Architectures

Hauser, Chomsky, and Fitch (HCF) proposed that recursion is the only thing that distinguishes language (a) from other human capacities, and (b) from the capacities of animals. These factors are ... More


The Recursive Argument Method of Medieval Science

Christopher I. Beckwith

in Warriors of the Cloisters: The Central Asian Origins of Science in the Medieval World

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155319
eISBN:
9781400845170
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155319.003.0002
Subject:
History, World Medieval History

This chapter examines the recursive argument method of medieval science. The distinctive argument method used in scientific literature from the High Middle Ages to the Enlightenment was the ... More


Buddhist Central Asian Invention of the Method

Christopher I. Beckwith

in Warriors of the Cloisters: The Central Asian Origins of Science in the Medieval World

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155319
eISBN:
9781400845170
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155319.003.0004
Subject:
History, World Medieval History

This chapter examines Buddhist Central Asia's invention of the recursive argument method. Some Buddhist teachings, which are found in all Buddhist traditions—indicating that they may be inherited ... More


Irreversible Agreements: The General Case

Debraj Ray

in A Game-Theoretic Perspective on Coalition Formation

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199207954
eISBN:
9780191709104
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199207954.003.0007
Subject:
Economics and Finance, Financial Economics

This chapter takes up the more general problem of coalition formation when the symmetry assumption is dropped. The analysis is necessarily complex and several new considerations arise. The chapter ... More


Computable Economics: The Arne Ryde Memorial Lectures

K. Velupillai

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198295273
eISBN:
9780191596988
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198295278.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

In a discipline such as economics, increasingly devoted to its computational content, the mathematical underpinnings of the computability assumptions of economic fundamentals have not been ... More


Ideas, Pioneers, and Precursors

Kumaraswamy Velupillai

in Computable Economics: The Arne Ryde Memorial Lectures

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198295273
eISBN:
9780191596988
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198295278.003.0002
Subject:
Economics and Finance, Macro- and Monetary Economics

In this chapter, a first, tentative attempt is made to define the nature and scope of what is meant by computable economics. From a study of the way economics was mathematized in the modern era, – ... More


Structure

John M. Anderson

in The Substance of Language Volume III: Phonology-Syntax Analogies

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199608331
eISBN:
9780191732119
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608331.003.0007
Subject:
Linguistics, Syntax and Morphology, Phonetics / Phonology

This chapter examines structural properties that in some form seem to be central to syntax, but at most marginal in phonology. Firstly, it looks at the presence of lexical derivation involving ... More


Arithmetic

Michael Potter

in Set Theory and its Philosophy: A Critical Introduction

Published in print:
2004
Published Online:
September 2011
ISBN:
9780199269730
eISBN:
9780191699443
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199269730.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

It has to be shown that the axioms of ZU guarantee the existence of structures with the familiar properties the natural, rational, and real numbers are expected to have. This chapter makes a start on ... More


Ordinals

Michael Potter

in Set Theory and its Philosophy: A Critical Introduction

Published in print:
2004
Published Online:
September 2011
ISBN:
9780199269730
eISBN:
9780191699443
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199269730.003.0016
Subject:
Philosophy, Logic/Philosophy of Mathematics

The simple and general principles of induction are powerful tools for proving things about the natural numbers. This chapter investigates ways in which they can be generalized to apply to a very much ... More


Renormalization group and scaling

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Mean-field theory is usually taken as a first step toward understanding critical phenomena, providing an overview that reveals qualitative behaviour of physical quantities. However, it is necessary ... More


Communication

Brandon C. Wheeler, William A. Searcy, Morten H. Christiansen, Michael C. Corballis, Julia Fischer, Christoph Grüter, Daniel Margoliash, Michael J. Owren, Tabitha Price, Robert Seyfarth, and Markus Wild

in Animal Thinking: Contemporary Issues in Comparative Cognition

Published in print:
2011
Published Online:
May 2016
ISBN:
9780262016636
eISBN:
9780262298988
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262016636.003.0013
Subject:
Psychology, Social Psychology

This chapter reviews what has been learned about animal thinking from the study of animal communication and considers what we might hope to learn in the future. It begins with a discussion on the ... More


The Interpretation of Underspecified Verbs

LUTZ MARTEN

in At the Syntax-Pragmatics Interface: Verbal Underspecification and Concept Formation in Dynamic Syntax

Published in print:
2002
Published Online:
January 2010
ISBN:
9780199250639
eISBN:
9780191719479
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199250639.003.0005
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This chapter is concerned with the interpretation of underspecified verbs. It shows that standard model-theoretic approaches cannot be extended to this dynamic view of verbs since they presuppose a ... More


The linguistic status of Merge

John Collins

in The Unity of Linguistic Meaning

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199694846
eISBN:
9780191732027
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199694846.003.0007
Subject:
Philosophy, Philosophy of Language, Philosophy of Mind

The last chapter fielded a range of potential philosophical objections to the account of unity offered in chapter 5. I also trust that it clarified a range of background issues pertaining to the ... More


The dictionary and the grammar book: the generative model of linguistic knowledge

John R Taylor

in The Mental Corpus: How language is represented in the mind

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199290802
eISBN:
9780191741388
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199290802.003.0002
Subject:
Linguistics, Psycholinguistics / Neurolinguistics / Cognitive Linguistics

Presents and critically examines the view that knowledge of a language can partitioned into a mental lexicon (which lists the words) and a syntax (which lists the rules for combining the words). ... More


The Story That Won’t Begin: Hypochondria’s Narrative Structure

Catherine Belling

in A Condition of Doubt: The Meanings of Hypochondria

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199892365
eISBN:
9780199950096
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199892365.003.0024
Subject:
Philosophy, General

This chapter focuses on the problem of narrative structure in the story of hypochondria. In the absence of diagnosed organic disease, the hypochondriac is refused the conventional beginning of the ... More


Recursion: A Computational Investigation into the Representation and Processing of Language

David J. Lobina

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198785156
eISBN:
9780191827235
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198785156.001.0001
Subject:
Linguistics, Psycholinguistics / Neurolinguistics / Cognitive Linguistics, Syntax and Morphology

This book provides a comprehensive account of the role of recursion in language in two distinct but interconnected ways. First, it examines how recursion applies at different levels within a full ... More


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