Article ID: CBB138376024

Probability and Expectation in Pascal's Pensées (2019)

unapi

The article examines the interaction of scientific ideas and literary works of Blaise Pascal (1623-1662), French mathematician, physicist, writer and Christian philosopher. His mathematical ideas influenced his most famous theological work - the Pensées (Thoughts) which is considered to be a masterpiece and a landmark in French prose. In the Pensées, Pascal analyzes several philosophical paradoxes: infinity and nothing, faith and reason, soul and matter, death and life. In this article I shall start by looking at the geometrical origin of Pascal's most famous comparison of man with "a thinking reed". Then I will examine the connection between two different works: De l'Esprit géométrique and the Pensées. This analysis will bring me to the next point − the mathematical resolution of Pascal's Wager. Historically, Pascal's Wager, where the notion of expected value was introduced, was groundbreaking because it charted new territory in probability theory, marked the first formal use of decision theory, and anticipated future philosophies such as existentialism. Finally, the article presents two mathematical poems from the Pascal's treatises. In the conclusion, it is said that Pascal in his geometrical works explains as a philosopher and in his Thoughts demonstrates as a mathematician, using probability and expectation in mathematical calculation and in existentialist explanation.

...More
Included in

Article George N. Vlahakis (2019) Science and Imagination: An Introduction. Almagest (pp. 6-9). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB138376024/

Similar Citations

Book Hammond, Nicholas; (2003)
The Cambridge Companion to Pascal

Book Shea, William R.; (2003)
Designing Experiments and Games of Chance: The Unconventional Scienceof Blaise Pascal

Book Campe, Rüdiger; (2002)
Spiel der Wahrscheinlichkeit: Literatur und Berechnung zwischen Pascal und Kleist

Thesis Guillemet, Julien Won Woo; (2011)
Games of Chance and Libertinage

Article Courgeau, Daniel; (2010)
Dispersion of Measurements in Demography

Book Devlin, Keith J.; (2008)
The Unfinished Game: Pascal, Fermat, and the Seventeenth-Century Letter That Made the World Modern

Book David, H. A. (Herbert Aron); Edwards, A. W. F. (Anthony William Fairbank); (2000)
Annotated Readings in the History of Statistics

Book Todhunter, Isaac; (2001)
History of the Mathematical Theory of Probability from the Time of Pascal to that of LaPlace

Book William Boos; Florence S. Boos; (2018)
Metamathematics and the Philosophical Tradition

Book Alan F. Chalmers; (2017)
One Hundred Years of Pressure: Hydrostatics from Stevin to Newton

Article Giannetto, Enrico; (2018)
Pascal’s Physics, Mathematics and Cosmology

Article Ariew, Roger; (2007)
Descartes and Pascal

Article Martine Pécharman; (2014)
L’idée du temps, et le temps universel chez Pascal

Article Chevalley, Catherine; (2005)
Ce que Pascal doit à la physique des Principia

Article Jones, Matthew L.; (2001)
Writing and Sentiment: Blaise Pascal, the Vacuum, and the Pensées

Chapter Descotes, Dominique; (2000)
Sur les arguments mathématiques dans l'apologie de Pascal

Article Clero, Jean-Pierre; (2008)
Lacan and Probabilities

Book Franklin, James; (2001)
The Science of Conjecture: Evidence and Probability before Pascal

Article Nagel, Fritz; (2006)
Jacques Bernoulli l'inconnu: Quelques aspects des activités non mathématiques d'un mathématicien

Article Bru, Bernard; (2006)
The Bernoulli Code

Authors & Contributors
Ariew, Roger
Boos, Florence S.
Boos, William
Bru, Bernard
Campe, Rüdiger
Chevalley, Catherine
Journals
Journal Electronique d'Histoire des Probabilités et de la Statistique
Perspectives on Science
Physis: Rivista Internazionale di Storia della Scienza
Revue d'Histoire des Sciences
Studies in History and Philosophy of Science
Azimuth
Publishers
Cambridge University Press
Basic Books
de Gruyter
Johns Hopkins University Press
Science History Publications
Springer
Concepts
Mathematics
Probability and statistics
Philosophy
Physics
Fluid mechanics
Epistemology
People
Pascal, Blaise
Descartes, René
Laplace, Pierre Simon
Bernoulli, Jakob
Fermat, Pierre de
Anselm, Saint, Archbishop of Canterbury
Time Periods
17th century
18th century
20th century
19th century
16th century
Early modern
Places
France
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment