Jump to ContentJump to Main Navigation

You are looking at 1-20 of 126 items

  • Keywords: Pascal x
Clear All Modify Search

View:

Pascal' Triangle and 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/9780195334548.003.0012
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter shows the various ways Catalan numbers can be extracted from Pascal's triangle. It includes discussion of nonisomorphic groups, Catalan polynomials, Touchard's recursive formula, and ... More


Probability in the Philosophy of Religion

Jake Chandler and Victoria S. Harrison (eds)

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199604760
eISBN:
9780191741548
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199604760.001.0001
Subject:
Philosophy, Philosophy of Religion, Metaphysics/Epistemology

At a time in which probability theory is exerting an unprecedented influence on epistemology and philosophy of science, promising to deliver an exact and unified foundation for the philosophy of ... More


Catalan Numbers with Applications

Thomas Koshy

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, ... More


Binomial Coefficients

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/9780195334548.003.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents a brief introduction to binomial coefficients, the cornerstone of all the discussions in the book. Among the properties discussed are Hermite's divisibility properties. Catalan ... More


Playing with Truth: Language and the Human Condition in Pascal's Pensées

Nicholas Hammond

Published in print:
1994
Published Online:
October 2011
ISBN:
9780198158936
eISBN:
9780191673412
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198158936.001.0001
Subject:
Literature, European Literature

Blaise Pascal's Pensées is generally acknowledged as one of the greatest masterpieces of seventeenth-century France, an unfinished work which has both inspired and perplexed readers in succeeding ... More


The history of double‐effect reasoning

T. A. Cavanaugh

in Double-Effect Reasoning: Doing Good and Avoiding Evil

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199272198
eISBN:
9780191604157
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199272190.003.0001
Subject:
Religion, Philosophy of Religion

This chapter presents the history of DER, considering Aquinas’s originating account and closely tracing the development of double effect through subsequent moralists up to the 19th century Jesuit ... More


Arguments for Supra‐evidential Fideism

John Bishop

in Believing by Faith: An Essay in the Epistemology and Ethics of Religious Belief

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199205547
eISBN:
9780191709432
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205547.003.0008
Subject:
Philosophy, Philosophy of Religion

This chapter considers three strategies: assimilation to cases of inter-personal trust; appeal to consequentialism (on which Pascal's Wager bears), and a ‘tu quoque’, which maintains that everyone ... More


The Gods of Risk

Witham Larry

in Marketplace of the Gods: How Economics Explains Religion

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195394757
eISBN:
9780199777372
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195394757.003.0004
Subject:
Religion, Religion and Society

Religion is a form of risk management in human lives and in religious groups. Pascal’s Wager famously illustrates the calculation of loss and benefit in religious belief. But there are other economic ... More


PREHISTORY, BEGINNING OF HISTORY, AND THE TODDLING PERIOD

Shoutir Kishore Chatterjee

in Statistical Thought: A Perspective and History

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525318
eISBN:
9780191711657
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525318.003.0005
Subject:
Mathematics, Probability / Statistics

Although probabilistic reasoning was implicit in man’s behaviour in uncertain situations even in primitive times, and can be traced in some ancient texts and medieval writings, probability as a ... More


The Value of Rational Religious Belief

Richard Swinburne

in Faith and Reason

Published in print:
2005
Published Online:
September 2007
ISBN:
9780199283927
eISBN:
9780191712524
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199283927.003.0003
Subject:
Philosophy, Philosophy of Religion

There is an obligation to seek true beliefs on religious matters both in order to discover whether we have other obligations (e.g., to worship and serve God), and in order to teach the truth about ... More


Pascal's Wagers and James's Will to Believe

Jeffrey J. Jordan

in The Oxford Handbook of Philosophy of Religion

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195138092
eISBN:
9780199835348
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195138090.003.0008
Subject:
Philosophy, Philosophy of Religion

Pragmatic arguments seek to justify the performance of an action by appealing to the benefits that may follow from that action. Pascal’s wager, for instance, argues that one should inculcate belief ... More


Death-Drive: Freudian Hauntings in Literature and Art

Robert Rowland Smith

Published in print:
2010
Published Online:
September 2012
ISBN:
9780748640393
eISBN:
9780748671601
Item type:
book
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748640393.001.0001
Subject:
Literature, Criticism/Theory

This book takes Freud's work on the death-drive and compares it with other philosophies of death — those of Pascal, Heidegger and Derrida in particular. It also applies it in a new way to literature ... More


The Mystic Fable, Volume Two: The Sixteenth And Seventeenth Centuries

Michel de Certeau

Luce Giard (ed.)

Published in print:
2015
Published Online:
May 2016
ISBN:
9780226209135
eISBN:
9780226209272
Item type:
book
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226209272.001.0001
Subject:
Religion, Philosophy of Religion

This second and final volume of Michel de Certeau’s Mystic Fable, brought to fruition despite the author’s death in 1986 (see “Presentation” below) is a close analysis of the prose and poetry of John ... More


Induction, Analogy, and a Future State: Hume's “Guide of Life”

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/9780195110333.003.0011
Subject:
Philosophy, History of Philosophy

Although there is considerable disagreement among commentators about the extent of Hume's skeptical commitments on the subject of induction, most are agreed that what he has to say has little or ... More


Putting it into Words

George Pattison

in Thinking about God in an Age of Technology

Published in print:
2005
Published Online:
February 2006
ISBN:
9780199279777
eISBN:
9780191603464
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199279772.003.0006
Subject:
Religion, Theology

Thinking about God involves more than the wordless longing of the heart. Thinking must also be put into language, even if the role of silence is admitted. Apophatic and mystical traditions have ... More


The Conflict Renewed: The Question of Investiture (1099–1122)

Colin Morris

in The Papal Monarchy: The Western Church from 1050 to 1250

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198269250
eISBN:
9780191600708
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198269250.003.0008
Subject:
Religion, Church History

The conflict continued, but narrowed to a more specific issue over the lay investiture of bishops. Compromise was negotiated in the Concordat of Worms. The period saw a transformation in the ... More


William James on the Courage to Believe

Robert J. O'Connell

Published in print:
1997
Published Online:
May 2019
ISBN:
9780823217274
eISBN:
9780823284962
Item type:
book
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823217274.001.0001
Subject:
Philosophy, American Philosophy

William James' celebrated lecture on “The Will to Believe” has kindled spirited controversy since the day it was delivered. In this lively reappraisal of that controversy, the author contributes some ... More


The Stroke of Passion: Pascal and the Poets

Richard Scholar

in The Je-Ne-Sais-Quoi in Early Modern Europe: Encounters with a Certain Something

Published in print:
2005
Published Online:
September 2008
ISBN:
9780199274406
eISBN:
9780191706448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199274406.003.0003
Subject:
Literature, European Literature

It is commonly said that elusive forces draw individual human beings into passionate relations with one another. This chapter identifies three tendencies towards the je-ne-sais-quoi in the realm of ... More


How Analysis and Synthesis are Related

Kurt Smith

in Matter Matters: Metaphysics and Methodology in the Early Modern Period

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199583652
eISBN:
9780191723155
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199583652.003.0013
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

This chapter shows how the combinatorial nature of bodies expresses the permutation group concept, the latter expressing the conditions underwriting a genuine mathematical system. The chapter ... More


Original Sin

Michael Moriarty

in Fallen Nature, Fallen Selves: Early Modern French Thought II

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199291038
eISBN:
9780191710599
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291038.003.0003
Subject:
Literature, World Literature

The Augustinian theory is contrasted with that of Aquinas, which holds a view of human nature as damaged by the Fall, but not radically perverted, and with the later hypothetical model of a ‘state of ... More


View: