## Stopping Moderate Inflations: The Methods of Poincaré and Thatcher

*Thomas J. Sargent*

### in Rational Expectations and Inflation

- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691158709
- eISBN:
- 9781400847648
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691158709.003.0004
- Subject:
- Economics and Finance, Economic History

This chapter examines the methods adopted by British Prime Minister Margaret Thatcher and her French counterpart Raymond Poincaré to reduce the rate of inflation. Advocates of the two main groups of ... More

## Rotation

*Gary A. Glatzmaier*

### in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691141725
- eISBN:
- 9781400848904
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691141725.003.0013
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the effects of rotation on convection and gravity waves. Flows in the atmospheres, oceans, and liquid cores of terrestrial planets are dominated by the Coriolis forces, as are ... More

## PERIODS OF EISENSTEIN AND POINCARÉ SERIES

*Leon Ehrenpreis*

### in The Universality of the Radon Transform

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198509783
- eISBN:
- 9780191709166
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509783.003.0010
- Subject:
- Mathematics, Mathematical Physics

This chapter shows how the book's main theory applies to computing the periods of Eisenstein and Poincaré series. Our Poincaré series are eigenfunctions of the Laplacian, and they arise naturally in ... More

## THE SURGERY CLASSIFICATION OF MANIFOLDS

*Andrew Ranicki*

### in Algebraic and Geometric Surgery

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198509240
- eISBN:
- 9780191708725
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509240.003.0001
- Subject:
- Mathematics, Geometry / Topology

This chapter provides an introduction to surgery theory, including the definition of manifold and Poincaré complex. It also discusses h- and s-cobordisms.

## POINCARÉ DUALITY

*Andrew Ranicki*

### in Algebraic and Geometric Surgery

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198509240
- eISBN:
- 9780191708725
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509240.003.0004
- Subject:
- Mathematics, Geometry / Topology

Poincaré duality is an isomorphism between the homology and cohomology of a manifold. The chapter introduces the basic duality and the universal Poincaré duality for non-simply-connected manifolds ... More

## POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

*Andrew Ranicki*

### in Algebraic and Geometric Surgery

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198509240
- eISBN:
- 9780191708725
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509240.003.0009
- Subject:
- Mathematics, Geometry / Topology

A Poincaré complex is a space with Poincaré duality. Spherical fibrations are the homotopy theoretic analogues of vector bundles. The Spivak normal fibration is the homotopy theoretic analogue of the ... More

## Scientific Representation: Paradoxes of Perspective

*Bas C. van Fraassen*

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199278220
- eISBN:
- 9780191707926
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278220.001.0001
- Subject:
- Philosophy, Philosophy of Mind, Philosophy of Science

Science represents natural phenomena by means of theories, as well as in many concrete ways by such means as pictures, graphs, table-top models, and computer simulations. This book begins with an ... More

##
The Case of *SL*(2); the Examples of Evans and Rudnick

*Nicholas M. Katz*

### in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153308
- eISBN:
- 9781400842704
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153308.003.0015
- Subject:
- Mathematics, Number Theory

This chapter treats both of these examples, as well as all the examples to come, using the Euler–Poincaré formula, cf. [Ray, Thm. 1] or [Ka-GKM, 2.3.1] or [Ka-SE, 4.6, (v) atop p. 113] or [De-ST, ... More

## The Problem of Coordination

*Bas C. van Fraassen*

### in Scientific Representation: Paradoxes of Perspective

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199278220
- eISBN:
- 9780191707926
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278220.003.0006
- Subject:
- Philosophy, Philosophy of Mind, Philosophy of Science

The term ‘problem of coordination’ had appeared in Mach's writings on mechanics and thermodynamics; was salient in the discussion of the relation between mathematical and physical geometry that ... More

## The Shape of Space II: Curved Space?

*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/9780195379518.003.0007
- Subject:
- Philosophy, Philosophy of Science

One can readily imagine a curved surface, but the very idea of a curved 3‐dimensional space may seem impossible; indeed, until ‘non‐Euclidean’ geometry was developed in the nineteenth century, such ... More

## Looking for Geometry

*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/9780195379518.003.0008
- Subject:
- Philosophy, Philosophy of Science

One can readily imagine a curved surface, but the very idea of a curved 3‐dimensional space may seem impossible; indeed, until ‘non‐Euclidean’ geometry was developed in the nineteenth century, such ... More

## Special Relativity

*Yvonne Choquet-Bruhat*

### in General Relativity and the Einstein Equations

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199230723
- eISBN:
- 9780191710872
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230723.003.0002
- Subject:
- Mathematics, Applied Mathematics

This chapter begins with a discussion of Newton's mechanics. It then covers Maxwell's equations, Minkowski spacetime, Poincaré group, Lorentz group, special relativity, Newtonian law, relativistic ... More

## Introduction: Rethinking Science and Religion

*James D. Proctor*

### in Science, Religion, and the Human Experience

- Published in print:
- 2005
- Published Online:
- February 2006
- ISBN:
- 9780195175325
- eISBN:
- 9780199784707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195175328.003.0002
- Subject:
- Religion, Religion and Society

This essay offers a novel take on science and religion by reconsidering both in light of the human experience — the unfolding of human life in its historical, political, geographical, psychological, ... More

## Between Nationalism and Corporatism: The Ruhr Conflict

*Charles S. Maier*

### in Recasting Bourgeois Europe: Stabilization in France, Germany, and Italy in the Decade after World War I

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691169798
- eISBN:
- 9781400873708
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691169798.003.0007
- Subject:
- History, American History: 20th Century

This chapter examines the impact of the Ruhr conflict on nationalism and corporatism in France and Germany. The Ruhr crisis suggested that the German and French recourse to nationalist policies ... More

## Hyperbolic Dynamics and Brownian Motion: An Introduction

*Jacques Franchi and Yves Le Jan*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199654109
- eISBN:
- 9780191745676
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199654109.001.0001
- Subject:
- Mathematics, Mathematical Physics

The idea of this book is to illustrate an interplay between distinct domains of mathematics. Firstly, this book provides an introduction to hyperbolic geometry, based on the Lorentz group PSO(1, d) ... More

## The Contradiction (iii): A Ramified Solution

*David Bostock*

### in Russell's Logical Atomism

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199651443
- eISBN:
- 9780191741197
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199651443.003.0005
- Subject:
- Philosophy, History of Philosophy, Metaphysics/Epistemology

Poincaré had recommended a ‘Vicious Circle Principle’, and Russell accepted this in his final ‘ramified’ theory of types. He claims both that this principle resolves a range of paradoxes (including ... More

## The Vicious Circle Principle 1

*Peter Hylton*

### in Propositions, Functions, and Analysis: Selected Essays on Russell＇s Philosophy

- Published in print:
- 2005
- Published Online:
- May 2010
- ISBN:
- 9780199286355
- eISBN:
- 9780191713309
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199286355.003.0006
- Subject:
- Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

The vicious-circle principle (VCP) is, according to Russell, a central and unifying idea in the type theory that is the basis of Principia Mathematica. Russell takes the principle from the work of ... More

## Lie Groups and Lie Algebras: A Physicist's Perspective

*Adam M. Bincer*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199662920
- eISBN:
- 9780191745492
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199662920.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book is based on lectures given to graduate students in physics at the University of Wisconsin-Madison. Group theory has been around for many years and the only thing new in this book is my ... More

## 1921: “Critical or Empiricist Interpretation of the New Physics?”

*Thomas Ryckman*

### in The Reign of Relativity: Philosophy in Physics 1915-1925

- Published in print:
- 2005
- Published Online:
- April 2005
- ISBN:
- 9780195177176
- eISBN:
- 9780199835324
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195177177.003.0003
- Subject:
- Philosophy, Philosophy of Science

Mortiz Schlick’s article of this title was highly influential in convincing several generations of philosophers that GTR outrightly falsified any variety of Kantian epistemology. In fact, the ... More

## Predicativity

*Solomon Feferman*

### in The Oxford Handbook of Philosophy of Mathematics and Logic

- Published in print:
- 2005
- Published Online:
- July 2005
- ISBN:
- 9780195148770
- eISBN:
- 9780199835560
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195148770.003.0019
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter is a detailed study of predicativity in mathematics. It presents a number of historical versions predicativity requirements (Russell, Poincaré, Weyl), looking for unifying ideas. The ... More