## 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