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SOLUBLE GROUPS OF FINITE RANK

John C. Lennox and Derek J. S. Robinson

in The Theory of Infinite Soluble Groups

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.003.0005
Subject:
Mathematics, Pure Mathematics

This chapter details the ranks of an abelian group. It also talks about the structure of soluble groups with finite rank, minimax groups, and residual finiteness.


THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS II

John C. Lennox and Derek J. S. Robinson

in The Theory of Infinite Soluble Groups

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.003.0007
Subject:
Mathematics, Pure Mathematics

This chapter discusses simple modules over polycyclic groups, the Jategaonkar-Roseblade theorem, the Artin-Rees property, and residual finiteness. It also talks about the Frattini subgroup.


Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics

Colin McLarty

Apostolos Doxiadis and Barry Mazur (eds)

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0004
Subject:
Mathematics, History of Mathematics

This chapter examines the myth surrounding Paul Gordan's response to David Hilbert's finiteness theorems. A proof introduced by Hilbert in 1888 became the paradigm of modern axiomatic mathematics. In ... More


Truth and Meaning

Donald Davidson

in Inquiries into Truth and Interpretation

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199246298
eISBN:
9780191715181
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199246297.003.0002
Subject:
Philosophy, Philosophy of Language

Develops the criterion of learnability proposed in Essay 1 into a constraint for a satisfactory theory of meaning: such a theory must show how, on the basis of a finite stock of semantic primitives, ... More


Semantics for Natural Languages

Donald Davidson

in Inquiries into Truth and Interpretation

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199246298
eISBN:
9780191715181
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199246297.003.0004
Subject:
Philosophy, Philosophy of Language

Davidson rehearses the demands for an acceptable theory of meaning for a natural language—that it give the meaning for each (actual and potential) utterance in the language, that it do so by finite ... More


Infinity and the Past

Quentin Smith

in Theism, Atheism, and Big Bang Cosmology

Published in print:
1995
Published Online:
October 2011
ISBN:
9780198263838
eISBN:
9780191682650
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198263838.003.0002
Subject:
Religion, Philosophy of Religion, Theology

This chapter presents an essay which aims to refute the argument that the past is necessarily finite. It considers the arguments offered by William Lane Craig and arguments by other philosophers. It ... More


Subordination

Sonia Cristofaro

Published in print:
2005
Published Online:
January 2010
ISBN:
9780199282005
eISBN:
9780191719271
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199282005.001.0001
Subject:
Linguistics, Syntax and Morphology

This book presents a typology of subordination systems across the world's languages. Traditional definitions of subordination are based on morphosyntactic criteria, such as clausal embedding or ... More


Some Thoughts on Radical Indeterminacy

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0009
Subject:
Philosophy, General

Discusses some issues about indeterminacy of reference and truth, from two points of view about reference and truth: that of a correspondence theory and that of a disquotational theory. It is argued ... More


Mathematical Objectivity and Mathematical Objects

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0011
Subject:
Philosophy, General

Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the ... More


Which Undecidable Mathematical Sentences Have Determinate Truth Values?

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0012
Subject:
Philosophy, General

Argues that typical undecidable sentences of set theory (e.g. about the size of the continuum) can have no determinate truth‐value, since nothing in our practice can determine which ‘universe of ... More


Theories of Meaning and Learnable Languages

Donald Davidson

in Inquiries into Truth and Interpretation

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199246298
eISBN:
9780191715181
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199246297.003.0001
Subject:
Philosophy, Philosophy of Language

Davidson asks what properties a language must have to be learnable. He criticizes a (then) popular response that models the order of language acquisition on the epistemological priority of the types ... More


The Substance of Language Volume I: The Domain of Syntax

John M. Anderson

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199608317
eISBN:
9780191732034
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608317.001.0001
Subject:
Linguistics, Syntax and Morphology, Phonetics / Phonology

This book explores the consequences for syntax of assuming that language is substantively based, or grounded, in extralinguistic cognition and perception. Groundedness does not just apply to the ... More


Interrogatives

John M. Anderson

in The Substance of Language Volume I: The Domain of Syntax

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199608317
eISBN:
9780191732034
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608317.003.0005
Subject:
Linguistics, Syntax and Morphology, Phonetics / Phonology

Interrogative is a mood, a secondary category of the functional category of finiteness. Different kinds of interrogative structure are described in terms of the framework of Chapter 3. These include ... More


Finiteness and mood

John M. Anderson

in The Substance of Language Volume I: The Domain of Syntax

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199608317
eISBN:
9780191732034
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608317.003.0007
Subject:
Linguistics, Syntax and Morphology, Phonetics / Phonology

Finiteness is interpreted here as the category licensing potential independence of a predication, and mood is a secondary category that grammaticalizes speech‐act type. As such it is limited to ... More


Canonical Morphology and Syntax

Dunstan Brown, Marina Chumakina, and Greville G. Corbett (eds)

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199604326
eISBN:
9780191746154
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199604326.001.0001
Subject:
Linguistics, Syntax and Morphology, Theoretical Linguistics

This is the first book to present Canonical Typology, a framework for comparing constructions and categories across languages. The canonical method takes the criteria used to define particular ... More


Unpacking finiteness

Irina Nikolaeva

in Canonical Morphology and Syntax

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199604326
eISBN:
9780191746154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199604326.003.0005
Subject:
Linguistics, Syntax and Morphology, Theoretical Linguistics

Since no implicational relations suggested for finiteness parameters so far have been without exceptions, it is argued that finiteness is a clausal notion which is best characterized by independent ... More


Free Groups and Folding

Matt Clay

in Office Hours with a Geometric Group Theorist

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.003.0004
Subject:
Mathematics, Geometry / Topology

This chapter studies subgroups of free groups using the combinatorics of graphs and a simple operation called folding. It introduces a topological model for free groups and uses this model to show ... More


Entropy for hyperbolic Riemann surface laminations I

Tien-Cuong Dinh, Viet-Anh Nguyen, and Nessim Sibony

Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland (eds)

in Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159294
eISBN:
9781400851317
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159294.003.0020
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter introduces a notion of entropy for possibly singular hyperbolic laminations by Riemann surfaces. It also studies the transverse regularity of the Poincaré metric and the finiteness of ... More


Entropy for hyperbolic Riemann surface laminations II

Tien-Cuong Dinh, Viet-Anh Nguyen, and Nessim Sibony

Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland (eds)

in Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159294
eISBN:
9781400851317
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159294.003.0021
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter studies Riemann surface foliations with tame singular points. It shows that the hyperbolic entropy of a Brody hyperbolic foliation by Riemann surfaces with linearizable isolated ... More


Word Order and Nanosyntax: Preverbal Subjects and Interrogatives Across Spanish Varieties

Antonio Fábregas

in Exploring Nanosyntax

Published in print:
2018
Published Online:
June 2018
ISBN:
9780190876746
eISBN:
9780190876784
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190876746.003.0010
Subject:
Linguistics, Syntax and Morphology

This chapter explores how the size of stored exponents can account for word order facts in the nanosyntactic framework. Three Spanish varieties are considered; these varieties differ in the ... More


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