## Science in the Looking Glass: What Do Scientists Really Know?

*E. Brian Davies*

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199219186
- eISBN:
- 9780191711695
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219186.001.0001
- Subject:
- Physics, History of Physics

How do scientific conjectures become laws? Why does proof mean different things in different sciences? Do numbers exist, or were they invented? Why do some laws turn out to be wrong? This book ... More

## Arithmetic and Geometry: Ten Years in Alpbach (AMS-202)

*Gisbert Wüstholz and Clemens Fuchs (eds)*

- Published in print:
- 2019
- Published Online:
- May 2020
- ISBN:
- 9780691193779
- eISBN:
- 9780691197548
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691193779.001.0001
- Subject:
- Mathematics, Geometry / Topology

This book presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the ... More

## Confined divisors

*James McKernan*

### in Flips for 3-folds and 4-folds

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198570615
- eISBN:
- 9780191717703
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570615.003.0007
- Subject:
- Mathematics, Geometry / Topology

Shokurov proposed the CCS conjecture as an intermediate step leading to his finite generation conjecture implying the existence of pl flips in all dimensions. After the work of Hacon and McKernan, ... More

## Kähler Manifolds

*Charles P. Boyer and Krzysztof Galicki*

### in Sasakian Geometry

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0004
- Subject:
- Mathematics, Geometry / Topology

This chapter reviews some basic facts about Kähler manifolds with special emphasis on projective algebraic varieties. All standard material is covered: complex structures, curvature properties, Hodge ... More

## Sasakian Structures, Killing Spinors, and Supersymmetry

*Charles P. Boyer and Krzysztof Galicki*

### in Sasakian Geometry

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0015
- Subject:
- Mathematics, Geometry / Topology

This chapter gives a very brief overview of the rich theory of Killing spinors describing Bär's correspondence which connects Sasaki-Einstein geometry to Berger's holonomy theorem. It is then shown ... More

## THE PARTIAL ORDER OF GRAPHS AND HOMOMORPHISMS

*Pavol Hell and Jaroslav Nešetřil*

### in Graphs and Homomorphisms

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.003.0003
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter considers the order homomorphisms induce on the set of all cores; this order is rich enough to represent all countable partial orders. Antichains in the homomorphism order are discussed, ... More

## COLOURING—VARIATIONS ON A THEME

*Pavol Hell and Jaroslav Nešetřil*

### in Graphs and Homomorphisms

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.003.0006
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter sets out certain particular classes of homomorphism problems that have been investigated as variants of graph colourings. The homomorphism perspective unifies these concepts and offers ... More

## DISCOVERING CAUSAL RELATIONSHIPSH

*Jon Williamson*

### in Bayesian Nets and Causality: Philosophical and Computational Foundations

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198530794
- eISBN:
- 9780191712982
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198530794.003.0008
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

There are two main proposals for discovering causal relationships: a hypothetico-deductive and an inductive approach. Neither account is fully satisfactory. Various specific approaches are discussed, ... More

## TOWARDS A MATROID-MINOR STRUCTURE THEORY

*Jim Geelen, Bert Gerards, and Geoff Whittle*

### in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198571278
- eISBN:
- 9780191718885
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571278.003.0005
- Subject:
- Mathematics, Probability / Statistics

This chapter surveys recent work aimed at generalizing the results and techniques of the Graph Minors Project of Robertson and Seymour to matroids. Some of the most interesting and apparently ... More

## 3-fold flips after Shokurov

*Alessio Corti*

### in Flips for 3-folds and 4-folds

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198570615
- eISBN:
- 9780191717703
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570615.003.0002
- Subject:
- Mathematics, Geometry / Topology

This chapter gives a concise, complete, and pedagogical proof of existence of 3-fold flips according to Shokurov. In particular, the foundation of the theory of b-divisors, algebras of rational ... More

## ADVANCES ON THE ERDŐS–FABER–LOVÁSZ CONJECTURE

*David Romero and Abdón S´nchez-Arroyo*

### in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198571278
- eISBN:
- 9780191718885
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571278.003.0017
- Subject:
- Mathematics, Probability / Statistics

A hypergraph is linear if no two distinct edges intersect in more than one vertex. A well-known conjecture of Erdős, Faber, and Lovász states that if a linear hypergraph has n edges, each of size n, ... More

## Introduction: Moral Conflict, Political Liberalism, and Islamic Ethics

*Andrew F. March*

### in Islam and Liberal Citizenship: The Search for an Overlapping Consensus

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780195330960
- eISBN:
- 9780199868278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195330960.003.0001
- Subject:
- Religion, Islam

This chapter states the aims of the book: its core question of the compatibility between formal Islamic doctrine and liberal citizenship It emphasizes how this book differs from historical, ... More

## Methods: The Ethics of Comparative Ethics

*Andrew F. March*

### in Islam and Liberal Citizenship: The Search for an Overlapping Consensus

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780195330960
- eISBN:
- 9780199868278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195330960.003.0003
- Subject:
- Religion, Islam

This chapter elaborates a methodology for engaging in what Rawls referred to as “conjecture,” here called “justificatory comparative political theory” or “comparative ethics.” It moves beyond Rawls’s ... More

## Forensic Rhetoric on the Popular Stage: Shakespeare's Histories

*Lorna Hutson*

### in The Invention of Suspicion: Law and Mimesis in Shakespeare and Renaissance Drama

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780199212439
- eISBN:
- 9780191707209
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199212439.003.0006
- Subject:
- Literature, Shakespeare Studies

This chapter finds continuity between the neoclassical Inns of Court drama of the 1560s and the hybrid forms of emblematic, allegorical, and episodic drama on the popular stage in the 1580s. Looking ... More

## Arithmetic of Period Maps of Geometric Origin

*Mark Green, Phillip Griffiths, and Matt Kerr*

### in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691154244
- eISBN:
- 9781400842735
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691154244.003.0009
- Subject:
- Mathematics, Analysis

This chapter considers some arithmetic aspects of period maps with a geometric origin. It focuses on the situation Φ : S(ℂ) → Γ\D, where S parametrizes a family X → S of smooth, projective ... More

## How Hard can Problems Get?

*E. Brian Davies*

### in Science in the Looking Glass: What Do Scientists Really Know?

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199219186
- eISBN:
- 9780191711695
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219186.003.0004
- Subject:
- Physics, History of Physics

This chapter describes some of the outstanding mathematical discoveries which have taken place during the last half century, focusing on what they say about how far human mathematical powers extend. ... More

## In defence of John

*Demetrios S. Katos*

### in Palladius of Helenopolis: The Origenist Advocate

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199696963
- eISBN:
- 9780191731969
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199696963.003.0004
- Subject:
- Religion, Early Christian Studies, Church History

This chapter continues the analysis of the Dialogue in accordance with principles of judicial rhetoric. This chapter analyzes the rhetoric of the arguments used by Palladius to defend John by ... More

## Creative Combination of Representations: Scientific Discovery and Technological Invention

*Paul Thagard*

### in Psychology of Science: Implicit and Explicit Processes

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199753628
- eISBN:
- 9780199950027
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199753628.003.0016
- Subject:
- Psychology, Cognitive Psychology, Social Psychology

This chapter describes two studies that help evaluate the combinatorial conjecture that all creativity results from combinations of mental representations. The first study examines 100 examples of ... More

## Introduction

*Gisbert Wüstholz and Clemens Fuchs (eds)*

### in Arithmetic and Geometry: Ten Years in Alpbach (AMS-202)

- Published in print:
- 2019
- Published Online:
- May 2020
- ISBN:
- 9780691193779
- eISBN:
- 9780691197548
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691193779.003.0001
- Subject:
- Mathematics, Geometry / Topology

This introductory chapter provides an overview of the three topics discussed in this book: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians, and Faltings heights and ... More

## Using Significance Tests in Establishing Associations

*Ezra Susser, Sharon Schwartz, Alfredo Morabia, and Evelyn J. Bromet*

### in Psychiatric Epidemiology: Searching for the Causes of Mental Disorders

- Published in print:
- 2006
- Published Online:
- September 2009
- ISBN:
- 9780195101812
- eISBN:
- 9780199864096
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195101812.003.23
- Subject:
- Public Health and Epidemiology, Public Health, Epidemiology

Statistical significance testing can be viewed as a formal method for assessing the evidence with regard to a scientific conjecture. It reflects the degree to which we can be confident that an ... More