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The Principles of Probability: From Formal Logic to Measure Theory to the Principle of Indifference

The Principles of Probability: From Formal Logic to Measure Theory to the Principle of Indifference

Paperback

Series: Lecture Notes in Mathematics, Book 2384

FictionProbability & Statistics

Currently unavailable to order

ISBN10: 3032094496
ISBN13: 9783032094490
Publisher: Springer
Published: Apr 17 2026
Pages: 288
Weight: 0.95
Height: 0.65 Width: 6.15 Depth: 9.29
Language: English
This book presents a logical system that is able to capture all aspects of modern probability as it is practiced today. The system is then used to rigorously formulate the principle of indifference.

Using nine rules of inductive inference, a calculus of probability is developed that operates directly on sentences - without reference to outcomes or sample spaces. Its surprising strength is expressed by three embedding theorems, based on an underlying many-worlds semantics in which random variables play a foundational role.

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Probability & Statistics