Johannes von Kries: Principles of the Probability Calculus: A Logical Investigation

This book provides an English translation of Johannes von Kries' Principles of the Probability Calculus, which discusses the range theory of probability and offers a novel account of the foundations of probability. It dispenses with the principle of indifference and introduces the method of arbitrary functions, pinpointing confusions in the history of probability and developing a novel theory that is neither entirely subjective nor objective. It applies range theory to Boltzmann's theory of the statistical behaviour of gases and to several applications in medical statistics.

Format: Hardback
Length: 250 pages
Publication date: 30 August 2023
Publisher: Springer International Publishing AG

This book presents an English translation of the work Principles of the Probability Calculus, originally published in 1886 by Johannes von Kries. It delves into the range theory of probability, offering a unique perspective on the foundations of probability that was well-known to prominent figures such as Keynes, Kneale, Weber, Reichenbach, and von Mises. Unlike traditional approaches, this account dispenses with the principle of indifference in probability and introduces the method of arbitrary functions. The book highlights historical confusions in the field of probability and proposes a novel theory that neither completely subjective nor objective. The range theory, also known as the Spielraum theory, is thoroughly explored in the book, utilizing a narrative style with minimal use of formulas. Von Kries applies the range theory to Boltzmann's statistical theory of gases and various applications in medical statistics. The book identifies numerous instances where probability is not adequately expressed in numerical terms, highlighting the limitations of traditional approaches. It will be of particular interest to philosophers of science and historians studying the foundations of probability, as well as to individuals in various fields who apply statistics in their daily work, such as econometrics, psychology, or medicine.

Dimension: 235 x 155 (mm)
ISBN-13: 9783031365058
Edition number: 1st ed. 2023