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Pascal's Wager: Pragmatic Arguments and Belief in God

Jeff Jordan

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199291328
eISBN:
9780191710698
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291328.001.0001
Subject:
Philosophy, Philosophy of Religion

What if there is no strong evidence that God exists? Is belief in God when faced with a lack of evidence illegitimate and improper? Evidentialism answers yes. According to Evidentialism, it is ... More


System Control and Rough Paths

Terry Lyons and Zhongmin Qian

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.001.0001
Subject:
Mathematics, Probability / Statistics

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the controlled ... More


Beyond existence

Louis A. Girifalco

in The Universal Force: Gravity - Creator of Worlds

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228966
eISBN:
9780191711183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228966.003.0019
Subject:
Physics, History of Physics

Gravity is responsible not only for the existence of stars and planets; it also creates the weirdest objects imaginable. A body with mass greater than 1.4 solar masses cannot remain a white dwarf and ... More


Infinite Minds: A Philosophical Cosmology

John Leslie

Published in print:
2003
Published Online:
October 2011
ISBN:
9780199248933
eISBN:
9780191697791
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199248933.001.0001
Subject:
Philosophy, General, Metaphysics/Epistemology

This book develops a Platonic creation story. The cosmos exists just because of the ethical need for it. We, and all the intricate structures of our universe, exist as intricately structured thoughts ... More


 How Long Is Forever

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0004
Subject:
Economics and Finance, Behavioural Economics

This chapter explores the meaning and interpretation of an infinitely repeated game. It examines finitely repeated games and infinitely repeated games with declining discount factors, and the ... More


The Problem of Infinite Utilities

Jeff Jordan

in Pascal's Wager: Pragmatic Arguments and Belief in God

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199291328
eISBN:
9780191710698
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291328.003.0004
Subject:
Philosophy, Philosophy of Religion

Pascal's Wager employed infinite utilities, but standard decision theory is incompatible with infinite utilities. In this chapter, the consequences of restricting the Wager to finite utilities are ... More


Aristotle, Zeno, and the Potential Infinite

David Bostock

in Space, Time, Matter, and Form: Essays on Aristotle's Physics

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199286867
eISBN:
9780191603532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199286868.003.0007
Subject:
Philosophy, Ancient Philosophy

This essay argues that Aristotle misdescribes his own position when he sums it up as the claim that infinity can only be potential and never actual. He readily accepts that there are processes which ... More


Time Integration Schemes

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/9780691141725.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter focuses on time integration schemes, including fourth-order accurate Runge–Kutta and predictor-corrector schemes as well as schemes that allow larger time steps (and therefore fewer ... More


THE STRUCTURE OF COMPOSITION

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/9780198528173.003.0004
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter focuses on the structure, as opposed to just the existence, of the family of homomorphisms among a set of graphs. The difference is noticeable with even just one graph. For instance, a ... More


On some concepts of infinite divisibility and their roles in turbulence, finance and quantum stochastics

Ole Eiler Barndorff-Nielsen

in Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566540
eISBN:
9780191718038
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566540.003.0013
Subject:
Mathematics, Probability / Statistics

This chapter contains an account of contemporary Lévy theory, namely the theory of infinite divisibility, Lévy processes, Lévy bases, and so forth, which has been a very active area of research over ... More


MATRIX EQUATIONS AND CANONICAL FACTORIZATIONS

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0003
Subject:
Mathematics, Numerical Analysis

This chapter is concerned with infinite block Toeplitz matrices, their relationships with matrix power series and matrix Laurent power series, and the fundamental problem of solving matrix equations ... More


Reading between the lines: John Wallis's Arithmetica infinitorum

Jacqueline A. Stedall

in A Discourse Concerning Algebra: English Algebra to 1685

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198524953
eISBN:
9780191711886
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198524953.003.0006
Subject:
Mathematics, History of Mathematics

At the beginning of his mathematical career, John Wallis embarked on the work that was to be published in 1656 as the Arithmetica infinitorum. The book was his masterpiece and over the following ten ... More


INTERPOLATION IN MODAL INFINITE SLICE LOGICS CONTAINING THE LOGIC K4

D.M. Gabbay and L. Maksimova

in Interpolation and Definability: Modal and Intuitionistic Logics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198511748
eISBN:
9780191705779
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198511748.003.0010
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter examines the family NE(K) of normal extensions of K4. With any such logic L its reflexive fragment r(L) is associated, which contains the logic S4. A logic L is of infinite slice if ... More


EXTENSIONS OF THE PROVABILITY LOGIC

D.M. Gabbay and L. Maksimova

in Interpolation and Definability: Modal and Intuitionistic Logics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198511748
eISBN:
9780191705779
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198511748.003.0012
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter shows that actions of interpolation in extensions of the provability logic G differs from that over S4. A logic Gγ is constructed, which possesses Craig's interpolation property but is ... More


The Cosmological Argument

Richard Swinburne

in The Existence of God

Published in print:
2004
Published Online:
September 2007
ISBN:
9780199271672
eISBN:
9780191709357
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199271672.003.0008
Subject:
Philosophy, Philosophy of Religion

The cosmological argument is the argument to God from the existence of a complex physical universe. God can create such a universe (by keeping it in existence as long as it exists — whether for a ... More


Epilogue

Elliott Antokoletz

in Musical Symbolism in the Operas of Debussy and Bartok

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195365825
eISBN:
9780199868865
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195365825.003.0014
Subject:
Music, Opera

The new musical language that emerged in the early 20th century seems to have been motivated, at least in part, by the need to reflect — even express — the new literary, psychological, and ... More


God and Worlds than which there are None Better

Bruce Langtry

in God, the Best, and Evil

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199238798
eISBN:
9780191716485
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238798.003.0002
Subject:
Philosophy, Moral Philosophy, Philosophy of Religion

The a priori investigation of God's providential policies depends on one's understanding of what options God has, and what options he has depends on the structure of the array of worlds. This chapter ... More


Fr ´Echet Differentiability Except For Γ‎-Null Sets

Joram Lindenstrauss, David Preiss, and Tiˇser Jaroslav

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153551
eISBN:
9781400842698
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153551.003.0006
Subject:
Mathematics, Analysis

This chapter gives an account of the known genuinely infinite dimensional results proving Fréchet differentiability almost everywhere except for Γ‎-null sets. Γ‎-null sets provide the only notion of ... More


Making Nothing of “Almighty Space”

Paul Russell

in The Riddle of Hume's Treatise: Skepticism, Naturalism, and Irreligion

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195110333
eISBN:
9780199872084
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195110333.003.0009
Subject:
Philosophy, History of Philosophy

This chapter argues that one of Hume's principal objectives in his discussion of space and time is to discredit the Newtonian doctrine of absolute space and time, which had recently been given a ... More


From the Outside In: Solving Generalizations of the Slothouber-Graatsma-Conway Puzzle

Derek Smith

in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164038
eISBN:
9781400881338
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164038.003.0009
Subject:
Mathematics, History of Mathematics

This chapter discusses Slothouber–Graatsma–Conway puzzle, which asks one to assemble six 1 × 2 × 2 pieces and three 1 × 1 × 1 pieces into the shape of a 3 × 3 × 3 cube. The puzzle has been ... More


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