In this paper I offer an account of the normative dimension implicit in D. Bernoulli's expected utility functions by means of an analysis of the juridical metaphors upon which the concept of mathematical expectation was moulded. Following a suggestion by the late E. Coumet, I show how this concept incorporated a certain standard of justice which was put in question by the St. Petersburg paradox. I contend that Bernoulli would have solved it by introducing an alternative normative criterion rather than a positive model of decision making processes. Keywords: St. Petersburg paradox; Expected utility; Daniel Bernoulli
...MoreDescription On a thought problem dealing with probability theory created by Daniel Bernoulli in the 18th century.
Article
Pradier, Pierre-Charles;
(2006)
De usu artis conjectandi in jure: quid de oeconomia (politica)?
(/isis/citation/CBB001021374/)
Article
Fonteneau, Yannick;
(2008)
D'Alembert et Daniel Bernoulli face au concept de travail mécanique
(/isis/citation/CBB000933176/)
Article
Guillame Jouve;
(2017)
The First Works of D'Alembert and Euler About the Problem of Vibrating Strings from the Perspective of Their Correspondence
(/isis/citation/CBB238196040/)
Article
Erik R. Tou;
(2019)
Bernoullian Influences on Leonhard Euler’s Early Fluid Mechanics
(/isis/citation/CBB776843735/)
Article
Elisa Patergnani;
Luigi Pepe;
(2021)
Les mathématiciens français et italiens du «siècle long»: 1700-1814
(/isis/citation/CBB124027972/)
Article
Pradier, Pierre-Charles;
Riecau, Nicolas;
(2008)
D'Alembert et D. Bernoulli au sujet de l'inoculation de la petite vérole
(/isis/citation/CBB000933178/)
Article
Darrigol, Olivier;
(2007)
The Acoustic Origins of Harmonic Analysis
(/isis/citation/CBB000772559/)
Book
Vinci, Thomas C.;
(2015)
Space, Geometry, and Kant's Transcendental Deduction of the Categories
(/isis/citation/CBB001500573/)
Chapter
Thomas Mormann;
(2015)
From Mathematics to Quantum Mechanics – On the Conceptual Unity of Cassirer's Philosophy of Science (1907–1937)
(/isis/citation/CBB281633633/)
Chapter
Petrunic, Josipa;
(2014)
Evolutionary Mathematics: William Kingdon Clifford's Use of Spencerian Evolutionism
(/isis/citation/CBB001202317/)
Book
Giovanni Vailati;
Claudia Arrighi;
Paola Cantù;
Mauro De Zan;
Patrick Suppes;
(2010)
Logic and Pragmatism: Selected Essays by Giovanni Vailati
(/isis/citation/CBB877530276/)
Article
Falkenburg, Brigitte;
Hüttemann, Andreas;
Stöckler, Manfred;
(2009)
Physik, Philosophie und die Einheit der Wissenschaften: Nachruf auf Erhard Scheibe
(/isis/citation/CBB001034984/)
Book
Rommevaux, Sabine;
(2010)
Mathématiques et connaissance du monde réel avant Galilée
(/isis/citation/CBB001023160/)
Article
John Robinson;
Alan H. Welsh;
(2017)
Corrigendum to: Peter Gavin Hall 1951–2016
(/isis/citation/CBB180021568/)
Book
Flood, Raymond;
Rice, Adrian;
Wilson, Robin;
(2011)
Mathematics in Victorian Britain
(/isis/citation/CBB001221196/)
Book
Persi Diaconis;
Brian Skyrms;
(2018)
Ten Great Ideas about Chance
(/isis/citation/CBB769261246/)
Article
Aalen, Odd;
Andersen, Per Kragh;
Borgan, Ørnulf;
Gill, Richard;
Keiding, Niels;
(2009)
History of Applications of Martingales in Survival Analysis
(/isis/citation/CBB001021426/)
Article
Stephen Kidd;
(2020)
Why Mathematical Probability Failed to Emerge from Ancient Gambling
(/isis/citation/CBB308199000/)
Article
Link, David;
(2006)
Chains to the West: Markov's Theory of Connected Events and Its Transmission to Western Europe
(/isis/citation/CBB000740727/)
Article
Joseph Louis Lagrange;
Maria Teresa Borgato;
(2013)
Solution d'un problème sur les rentes viagères
(/isis/citation/CBB996833834/)
Be the first to comment!