Download the fantastic book titled Bertrand s Paradox and the Principle of Indifference written by Nicholas Shackel, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Bertrand s Paradox and the Principle of Indifference", which was released on 16 June 2024. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Logic, Symbolic and mathematical genre.
Summary of Bertrand s Paradox and the Principle of Indifference by Nicholas Shackel PDF
"Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand's chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand's Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author's proposed solution-a solution in the spirit of Bertrand's, indeed-in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference. Bertrand's Paradox and the Principle of Indifference will appeal to scholars and advanced students working in the philosophy of mathematics, epistemology, philosophy of science, probability theory, and mathematical physics"--
Detail About Bertrand s Paradox and the Principle of Indifference PDF
- Author : Nicholas Shackel
- Publisher : Anonim
- Genre : Logic, Symbolic and mathematical
- Total Pages : 0 pages
- ISBN : 9781032597980
- Release Date : 16 June 2024
- PDF File Size : 24,5 Mb
- Language : English
- Rating : 4/5 from 21 reviews
Clicking on the GET BOOK button will initiate the downloading process of Bertrand s Paradox and the Principle of Indifference by Nicholas Shackel. This book is available in ePub and PDF format with a single click unlimited downloads.