What follows shall provide an introduction to a predominantly philosophical and polemical, but historically revealing, paper on the foundations of the theory of probability. The leading Russian probabilist Aleksandr Yakovlevich Khinchin (1894--1959) (see fig. 1) wrote the paper in the late 1930s, commenting on a slightly older, but still competing approach to probability theory by Richard von Mises. Together with the even more influential Andrey Nikolayevich Kolmogorov (1903--1987), who was nine years his junior, Khinchin had revolutionized probability theory around 1930 by introducing the modern measure-theoretic approach, which is still standard today and which allowed for a sufficiently general treatment of important new notions such as stochastic processes. This development had its first culmination in Kolmogorov's booklet, Grundbegriffe der Wahrscheinlichkeitsrechnung, written in German in 1933, which has exerted an enormous influence world wide.
...MoreDescription Followed by Gnedenko, B. V.; On A. Ya. Khinchin's Paper [500651].
Article Gnedenko, B. V. (2004) On A. Ya. Khinchin's paper `R. Mises' Frequentist Theory and the Modern Concepts of the Theory of Probability'. Science in Context (p. 391).
Article
Bienvenu, Laurent;
Shafer, Glenn;
Shen, Alexander;
(2009)
On the History of Martingales in the Study of Randomness
(/isis/citation/CBB001021421/)
Article
Gnedenko, B. V.;
(2004)
On A. Ya. Khinchin's paper `R. Mises' Frequentist Theory and the Modern Concepts of the Theory of Probability'
(/isis/citation/CBB000500651/)
Article
Siegmund-Schultze, Reinhard;
Zabell, Sandy;
(2007)
Richard von Mises and the “Problem of Two Races”: A Statistical Satire in 1934
(/isis/citation/CBB000771362/)
Article
Siegmund-Schultze, Reinhard;
(2010)
Sets versus Trial Sequences, Hausdorff versus Von Mises: “Pure” Mathematics Prevails in the Foundations of Probability around 1920
(/isis/citation/CBB001022129/)
Chapter
Stöltzner, Michael;
(2003)
Vienna Indeterminism II: From Exner's Synthesis to Frank and von Mises
(/isis/citation/CBB001213685/)
Book
Folkerts, Menso;
Hashagen, Ulf;
Seising, Rudolf;
(2004)
Form, Zahl, Ordnung. Studien zur Wissenschafts- und Technikgeschichte: Festschrift für Ivo Schneider zum 65. Geburtstag
(/isis/citation/CBB000831158/)
Article
Siegmund-Schultze, Reinhard;
(2007)
Philipp Frank, Richard von Mises, and the Frank-Mises
(/isis/citation/CBB000780198/)
Article
Reinhard Siegmund-Schultze;
(2019)
Adolf von Harnacks „letzte“ Arbeit „Stufen wissenschaftlicher Erkenntnis“ (1920) und die darauffolgende Diskussion über die „Wandlung in der Schätzung der Wissenschaft“ (Adolf von Harnack’s “last” publication “Steps of scientific understanding” (1930), and a subsequent discussion on “Changes in the Estimation of Science”)
(/isis/citation/CBB555479542/)
Article
Šišma, Pavel;
(2002)
Georg Hamel and Richard von Mises in Brno
(/isis/citation/CBB000200285/)
Article
Kadioglu, Sevtap;
Erginöz, Gaye Sahinbas;
(2011)
An Emigrant Scientist in Istanbul University: Richard Martin Edler von Mises (1883--1953)
(/isis/citation/CBB001220642/)
Book
Hammond, Nicholas;
(2003)
The Cambridge Companion to Pascal
(/isis/citation/CBB000651568/)
Article
Silva Ayçaguer, Luis Carlos;
Benavides Rodríguez, Alina;
Almenara Barrios, José;
(2002)
El péndulo bayesiano: Crónica de una polémica estadística
(/isis/citation/CBB000300778/)
Article
Campos, Daniel G.;
(2009)
The Framing of the Fundamental Probability Set: A Historical Case Study on the Context of Mathematical Discovery
(/isis/citation/CBB000932274/)
Article
Olga Hoppe-Kondrikova;
Lukas M. Verburgt;
(2016)
On A.ya. Khinchin's Paper ‘ideas of Intuitionism and the Struggle for a Subject Matter in Contemporary Mathematics’ (1926): A Translation with Introduction and Commentary
(/isis/citation/CBB951542109/)
Article
Millstein, Roberta L.;
(2000)
Chance and macroevolution
(/isis/citation/CBB000110190/)
Article
Christopher F. French;
(2015)
Explicating Formal Epistemology: Carnap's Legacy as Jeffrey's Radical Probabilism
(/isis/citation/CBB832364167/)
Book
Michael Polanyi;
(2015)
Personal Knowledge: Towards a Post-Critical Philosophy
(/isis/citation/CBB914837869/)
Article
Hild, Matthias;
(2000)
Trends in the Philosophy of Probability
(/isis/citation/CBB000110106/)
Article
John Robinson;
Alan H. Welsh;
(2017)
Corrigendum to: Peter Gavin Hall 1951–2016
(/isis/citation/CBB180021568/)
Article
Link, David;
(2006)
Chains to the West: Markov's Theory of Connected Events and Its Transmission to Western Europe
(/isis/citation/CBB000740727/)
Be the first to comment!