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Foundations without Foundationalism: A Case for Second-Order Logic

Stewart Shapiro

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198250296
eISBN:
9780191598388
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198250290.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

A language is second‐order, or higher‐order, if it has bound variables that range over properties or sets of the items in the range of the ordinary, first‐order variables. This book presents a formal ... 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


Catalan Numbers

Thomas Koshy

in Catalan Numbers with Applications

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.003.0005
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents Catalan numbers in an interesting, historical perspective, beginning with the well-known triangulation problem. In addition, it develops three recursive formulas for Cn, an ... More


Inconsistent Arithmetic

Graham Priest

in In Contradiction

Published in print:
2006
Published Online:
May 2007
ISBN:
9780199263301
eISBN:
9780191718823
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199263301.003.0018
Subject:
Philosophy, Logic/Philosophy of Mathematics

The study of formal inconsistent arithmetics has already occasioned a number of interesting technical results, as well as philosophical spin-offs. This chapter looks at some of these. It shows how ... More


6 Experimental observation of GW emission in compact binaries

Michele Maggiore

in Gravitational Waves: Volume 1: Theory and Experiments

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570745
eISBN:
9780191717666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570745.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the experimental evidence for the existence of GWs, which was first obtained from the Hulse-Taylor binary pulsar, PSR B1913+16, and which is now further confirmed by ... More


Theoretical Implications

Jeffrey Brand-Ballard

in Limits of Legality: The Ethics of Lawless Judging

Published in print:
2010
Published Online:
September 2010
ISBN:
9780195342291
eISBN:
9780199867011
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195342291.003.0017
Subject:
Philosophy, Political Philosophy

This chapter examines more restrictive theories of rule guidance, including those of legal formalists such as Larry Alexander and Frederick Schauer, and that of an exclusive positivist, Scott J. ... More


Postscript

Stewart Alan

in Shakespeare's Letters

Published in print:
2008
Published Online:
October 2011
ISBN:
9780199549276
eISBN:
9780191701504
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199549276.003.0009
Subject:
Literature, Shakespeare Studies

The letters that this book has examined operate in a bewildering variety of ways, but a theme emerges. As Mary Poovey and Barbara Shapiro have argued, the culture in which and for which William ... More


Shadows and Light

Joseph P. Tomain

in Creon's Ghost: Law, Justice, and the Humanities

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195333411
eISBN:
9780199868841
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195333411.003.0002
Subject:
Law, Philosophy of Law

The Allegory of the Cave is both more familiar and complex than it might first appear. The familiar part of this allegory is that a prisoner is unshackled and works his way into the warmth and light ... More


Two‐body problem in general relativity

H. Asada, T. Futamase, and P. A. Hogan

in Equations of Motion in General Relativity

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199584109
eISBN:
9780191723421
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199584109.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

For a binary star system the periastron advance per orbit period is calculated as well as the Shapiro time delay in radar arrival time due to the passage of the signal through the gravitational field ... More


Structuralism Reconsidered

Fraser MacBride

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:
10.1093/0195148770.003.0018
Subject:
Philosophy, Logic/Philosophy of Mathematics

The basic relations and functions that mathematicians use to identify mathematical objects fail to settle whether mathematical objects of one kind are identical to or distinct from objects of ... More


Throwing Light on the Role of Moral Principles in the Law: Further Reflections

Matthew H. Kramer

in Where Law and Morality Meet

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199546138
eISBN:
9780191705434
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546138.003.0003
Subject:
Law, Philosophy of Law

This chapter develops further the positions taken in Chapter 1, and it explains how moral principles can enter into the law of a legal system even if legal officials are mistaken in many of the ... More


An Epistemic Account of the Internal Point of View

Antony Hatzistavrou

in Law and Philosophy

Published in print:
2007
Published Online:
January 2009
ISBN:
9780199237159
eISBN:
9780191705427
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199237159.003.0007
Subject:
Law, Philosophy of Law

This chapter presents an epistemic account of the internal point of view. It argues that to have the internal point of view towards law is to be epistemically guided by law and especially by the rule ... More


The Cross and Other Jewish Stories

Lamed Shapiro

Leah Garrett (ed.)

Published in print:
2007
Published Online:
October 2013
ISBN:
9780300110692
eISBN:
9780300134698
Item type:
book
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110692.001.0001
Subject:
Literature, American, 20th Century Literature

Lamed Shapiro (1878–1948) was the author of groundbreaking and controversial short stories, novellas, and essays. Himself a tragic figure, Shapiro led a life marked by frequent ocean crossing, ... More


Spherically symmetric spacetime — GR tests

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A spherically symmetric metric has two unknown scalar metric functions. The Schwarzschild solution to the GR field equation is presented. An embedding diagram is used to visualize such a warp space. ... More


The Status of Logic

Stewart Shapiro

in New Essays on the A Priori

Published in print:
2000
Published Online:
November 2003
ISBN:
9780199241279
eISBN:
9780191597107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199241279.003.0014
Subject:
Philosophy, Metaphysics/Epistemology

It seems that if a thinker in an argument arrives at an empirical conclusion, then some of the belief‐formation or reasoning principles she employs must be a priori if the reasoning is to be ... More


History

Peter Redford (ed.)

in The Burley Manuscript

Published in print:
2016
Published Online:
May 2017
ISBN:
9781526104489
eISBN:
9781526121127
Item type:
chapter
Publisher:
Manchester University Press
DOI:
10.7228/manchester/9781526104489.003.0002
Subject:
Literature, 16th-century and Renaissance Literature

The collection was assembled by William Parkhurst in the first decades of the seventeenth century, and later passed into the hands of the Finch family, at whose seat of Burley-on-the-Hill it was ... More


Mathematical Structuralism

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

The first of six chapters in which rival views are critically evaluated and compared with the Constructibility view described in earlier chapters. The views considered here (forms of ‘Structuralism’) ... More


The Kiss

Lamed Shapiro

in The Cross and Other Jewish Stories

Published in print:
2007
Published Online:
October 2013
ISBN:
9780300110692
eISBN:
9780300134698
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110692.003.0005
Subject:
Literature, American, 20th Century Literature

This chapter presents the text of Lamed Shapiro's short fiction titled The Kiss. It explains that the story is about a pogromist who kills a Jew because of his refusal to kiss the pogromist's feet. ... More


The Rebbe and the Rebbetsin

Lamed Shapiro

in The Cross and Other Jewish Stories

Published in print:
2007
Published Online:
October 2013
ISBN:
9780300110692
eISBN:
9780300134698
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110692.003.0011
Subject:
Literature, American, 20th Century Literature

This chapter presents the text of Lamed Shapiro's short fiction titled The Rebbe and the Rebbetsin. It explains that the story is about a Jewish couple with the wife claiming to hear angels chanting ... More


The Man and His Servant

Lamed Shapiro

in The Cross and Other Jewish Stories

Published in print:
2007
Published Online:
October 2013
ISBN:
9780300110692
eISBN:
9780300134698
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110692.003.0012
Subject:
Literature, American, 20th Century Literature

This chapter presents the text of Lamed Shapiro's short fiction titled The Man and His Servant. It explains that the story is about a man in a wheelchair being pushed by his young servant. It ... More


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