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The Porous Medium Equation: Mathematical Theory

Juan Luis Vazquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198569039
eISBN:
9780191717468
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198569039.001.0001
Subject:
Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More


Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Moody Chu and Gene Golub

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.001.0001
Subject:
Mathematics, Applied Mathematics

The basic goal of an inverse eigenvalue problem is to reconstruct the physical parameters of a certain system from the knowledge or desire of its dynamical behavior. Depending on the application, ... More


ZUKUNFTSMUSIK

Rolf Niedermeier

in Invitation to Fixed-Parameter Algorithms

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566076
eISBN:
9780191713910
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566076.003.0016
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter concludes the book, summarizes the ideas discussed, and puts forward a list of three central challenges for parameterized algorithm design.


Ecological Orbits: How Planets Move and Populations Grow

Lev Ginzburg and Mark Colyvan

Published in print:
2003
Published Online:
September 2007
ISBN:
9780195168167
eISBN:
9780199790159
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195168167.001.0001
Subject:
Biology, Ecology

The main focus of the book is the presentation of the inertial view of population growth. This view provides a rather simple model for complex population dynamics, and is achieved at the level of the ... More


Zeno's Arrow Paradox

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0003
Subject:
Philosophy, Philosophy of Science

This pair of chapters discuss Zeno's paradoxes and some of their modern descendants: the ‘dichotomy’, the ‘arrow’, and the ‘supertasks’ of Thompson's lamp and Bernadete. These paradoxes arise from ... More


The Situated Self

J. T. Ismael

Published in print:
2007
Published Online:
January 2009
ISBN:
9780195174366
eISBN:
9780199872121
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195174366.001.0001
Subject:
Philosophy, Philosophy of Mind

Physics reveals a world composed of events arranged in a fixed configuration, like locations on a map. But where are we ourselves, the creatures who construct the map, to be found in the world it ... More


Computational Methods for the Study of Dynamic Economies

Ramon Marimon and Andrew Scott (eds)

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

Macroeconomics increasingly uses stochastic dynamic general equilibrium models to understand theoretical and policy issues. Unless very strong assumptions are made, understanding the properties of ... More


Mathematical Justifications are Not Infinitely Various

Neil Tennant

in Changes of Mind: An Essay on Rational Belief Revision

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199655755
eISBN:
9780191742125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655755.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter gives a suitably texturized proof of a deep result in mathematical logic by Harvey Friedman, which was produced on request. It states that every extant mathematical theory (by virtue of ... More


A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

John P. Burgess and Gideon Rosen

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Numbers and other mathematical objects are exceptional in having no locations in space and time and no causes or effects in the physical world. This makes it difficult to account for the possibility ... More


Business Cycle Theory

Lutz G. Arnold

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199256815
eISBN:
9780191698385
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199256815.001.0001
Subject:
Economics and Finance, Financial Economics

Business cycle theory is a broad and disparate field. Different schools of thought offer alternative explanations for cycles, often using different mathematical methods. This book aims to provide ... More


Towards Non-Being: The Logic and Metaphysics of Intentionality

Graham Priest

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199262540
eISBN:
9780191602672
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199262543.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Towards Non-Being presents an account of the semantics of intentional verbs such as ‘believes’, ‘fears’, ‘seeks’, and ‘imagines’. It tackles problems concerning intentional states which ... More


Gödel’s incompleteness theorems, free will and mathematical thought

SOLOMON FEFERMAN

in Free Will and Modern Science

Published in print:
2011
Published Online:
January 2013
ISBN:
9780197264898
eISBN:
9780191754074
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264898.003.0007
Subject:
Philosophy, Philosophy of Mind

The determinism-free will debate is perhaps as old as philosophy itself and has been engaged in from a great variety of points of view including those of scientific, theological, and logical ... More


Constructibility and Mathematical Existence

Charles S. Chihara

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

A continuation of the study of mathematical existence begun in Ontology and the Vicious‐Circle Principle (published in 1973); in the present work, Quine's indispensability argument is rebutted by the ... More


Tracking Reason: Proof, Consequence, and Truth

Jody Azzouni

Published in print:
2006
Published Online:
October 2011
ISBN:
9780195187137
eISBN:
9780199850570
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195187137.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

When ordinary people—mathematicians among them—take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. This book ... More


Nature, Change, and Agency in Aristotle's Physics: A philosophical study

Sarah Waterlow

Published in print:
1982
Published Online:
October 2011
ISBN:
9780198246534
eISBN:
9780191680984
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198246534.001.0001
Subject:
Philosophy, Ancient Philosophy, Metaphysics/Epistemology

This book examines Aristotle’s concept of natural substance and its implications for change, process, agency, teleology, mathematical continuity, and eternal motion. It illustrates the conceptual ... More


Proportional Form in the Sonnets of the Sidney Circle: Loving in Truth

Tom W. N. Parker

Published in print:
1998
Published Online:
October 2011
ISBN:
9780198184430
eISBN:
9780191674259
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198184430.001.0001
Subject:
Literature, Poetry, 16th-century and Renaissance Literature

The structure of Philip Sidney's Astrophil and Stella is governed by a distinctive and complex set of proportions, found also in the sonnet sequences of Fulke Greville and Robert Sidney written under ... More


The Freedom of the Will

J. R. Lucas

Published in print:
1970
Published Online:
October 2011
ISBN:
9780198243434
eISBN:
9780191680687
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198243434.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Moral Philosophy

The three great problems of philosophy, according to Kant, are God, freedom, and immortality. Of these, freedom, that is, the Freedom of the Will, is the one most accessible to reason, and has ... More


The Kantian Sublime: From Morality to Art

Paul Crowther

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239314
eISBN:
9780191597275
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198239319.001.0001
Subject:
Philosophy, Aesthetics

Kant's theory of the sublime has become one of the most keenly studied elements in both his own aesthetics and aesthetic theory in general. This book offers a sustained analysis of Kant's theory of ... More


Generalized Musical Intervals and Transformations

David Lewin

Published in print:
2007
Published Online:
January 2010
ISBN:
9780195317138
eISBN:
9780199865413
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195317138.001.0001
Subject:
Music, Theory, Analysis, Composition

This book is recognized as the seminal work paving the way for current studies in mathematical and systematic approaches to music analysis. The author, one of the 20th century’s most prominent ... More


The Nature of Mathematical Knowledge

Philip Kitcher

Published in print:
1985
Published Online:
November 2003
ISBN:
9780195035414
eISBN:
9780199833368
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195035410.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the ... More


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