The Principles of Probability by Jason Swanson - 9783032094490

The Principles of ProbabilityFrom Formal Logic to Measure Theory to the Principle of Indifference\nAuthor(s): Jason Swanson\nFormat: Paperback\nPublisher: Springer Nature Switzerland AG, Switzerland\nImprint: Springer Nature Switzerland AG\nISBN-13: 9783032094490, 978-3032094490\nSynopsis\nThis 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.\n\nUsing 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.\n\nThe calculus allows a formal treatment of the principle of indifference. Roughly speaking, this heuristic idea, which dates back to the time of Laplace, says that we should a.