Bertrand S Paradox And The Principle Of Indifference
DOWNLOAD
Download Bertrand S Paradox And The Principle Of Indifference PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Bertrand S Paradox And The Principle Of Indifference book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Bertrand S Paradox And The Principle Of Indifference
DOWNLOAD
Author : Nicholas Shackel
language : en
Publisher: Taylor & Francis
Release Date : 2024-02-29
Bertrand S Paradox And The Principle Of Indifference written by Nicholas Shackel and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-29 with Philosophy categories.
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.
Bertrand S Paradox And The Principle Of Indifference
DOWNLOAD
Author : Nicholas Shackel
language : en
Publisher:
Release Date : 2024
Bertrand S Paradox And The Principle Of Indifference written by Nicholas Shackel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Logic, Symbolic and mathematical categories.
"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"--
Multisensor Data Fusion
DOWNLOAD
Author : David Hall
language : en
Publisher: CRC Press
Release Date : 2001-06-20
Multisensor Data Fusion written by David Hall and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-20 with Technology & Engineering categories.
The emerging technology of multisensor data fusion has a wide range of applications, both in Department of Defense (DoD) areas and in the civilian arena. The techniques of multisensor data fusion draw from an equally broad range of disciplines, including artificial intelligence, pattern recognition, and statistical estimation. With the rapid evolut
Cognition And Chance
DOWNLOAD
Author : Raymond S. Nickerson
language : en
Publisher: Psychology Press
Release Date : 2004-06-24
Cognition And Chance written by Raymond S. Nickerson and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-24 with Business & Economics categories.
This book presents an overview of the necessary information needed to make educational assumptions about the statistical or probable characteristics of a situation. The book can be used as a supplemental text in courses on probability, logic, statistics,
Recent Developments In The Philosophy Of Science Epsa13 Helsinki
DOWNLOAD
Author : Uskali Mäki
language : en
Publisher: Springer
Release Date : 2015-09-09
Recent Developments In The Philosophy Of Science Epsa13 Helsinki written by Uskali Mäki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-09 with Science categories.
This volume showcases the best of recent research in the philosophy of science. A compilation of papers presented at the EPSA 13, it explores a broad distribution of topics such as causation, truthlikeness, scientific representation, gender-specific medicine, laws of nature, science funding and the wisdom of crowds. Papers are organised into headings which form the structure of the book. Readers will find that it covers several major fields within the philosophy of science, from general philosophy of science to the more specific philosophy of physics, philosophy of chemistry, philosophy of the life sciences, philosophy of psychology, and philosophy of the social sciences and humanities, amongst others. This volume provides an excellent overview of the state of the art in the philosophy of science, as practiced in different European countries and beyond. It will appeal to researchers with an interest in the philosophical underpinnings of their own discipline, and to philosophers who wish to explore the latest work on the themes explored.
Probability And Statistics
DOWNLOAD
Author : Cain Mckay
language : en
Publisher: Scientific e-Resources
Release Date : 2019-01-30
Probability And Statistics written by Cain Mckay and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with categories.
Universal Measurements How To Free Three Birds In One Move
DOWNLOAD
Author : Diederik Aerts
language : en
Publisher: World Scientific
Release Date : 2017-03-22
Universal Measurements How To Free Three Birds In One Move written by Diederik Aerts and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-22 with Science categories.
This is a book presenting to a wide audience of readers, ranging from fans of science to professional researchers, some of the authors' recent discoveries in three distinct, but intimately related domains: probability theory (Bertrand's paradox), observation in physics (the measurement problem) and the modeling of experiments in psychology (quantum cognition). In all three of these domains of investigation, and the associated problems, the authors explain how to advantageously use the key notion of universal measurement, which constitutes the fil rouge of the whole text.
Knowledge Belief And God
DOWNLOAD
Author : Matthew A. Benton
language : en
Publisher: Oxford University Press
Release Date : 2018-02-13
Knowledge Belief And God written by Matthew A. Benton and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Philosophy categories.
Recent decades have seen a fertile period of theorizing within mainstream epistemology which has had a dramatic impact on how epistemology is done. Investigations into contextualist and pragmatic dimensions of knowledge suggest radically new ways of meeting skeptical challenges and of understanding the relation between the epistemological and practical environment. New insights from social epistemology and formal epistemology about defeat, testimony, a priority, probability, and the nature of evidence all have a potentially revolutionary effect on how we understand our epistemological place in the world. Religion is the place where such rethinking can potentially have its deepest impact and importance. Yet there has been surprisingly little infiltration of these new ideas into philosophy of religion and the epistemology of religious belief. Knowledge, Belief, and God incorporates these myriad new developments in mainstream epistemology, and extends these developments to questions and arguments in religious epistemology. The investigations proposed in this volume offer substantial new life, breadth, and sophistication to issues in the philosophy of religion and analytic theology. They pose original questions and shed new light on long-standing issues in religious epistemology; and these developments will in turn generate contributions to epistemology itself, since religious belief provides a vital testing ground for recent epistemological ideas.
Handbook Of Probability
DOWNLOAD
Author : Tamás Rudas
language : en
Publisher: SAGE
Release Date : 2008-02-21
Handbook Of Probability written by Tamás Rudas and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-21 with Mathematics categories.
"This is a valuable reference guide for readers interested in gaining a basic understanding of probability theory or its applications in problem solving in the other disciplines." —CHOICE Providing cutting-edge perspectives and real-world insights into the greater utility of probability and its applications, the Handbook of Probability offers an equal balance of theory and direct applications in a non-technical, yet comprehensive, format. Editor Tamás Rudas and the internationally-known contributors present the material in a manner so that researchers of various backgrounds can use the reference either as a primer for understanding basic probability theory or as a more advanced research tool for specific projects requiring a deeper understanding. The wide-ranging applications of probability presented make it useful for scholars who need to make interdisciplinary connections in their work. Key Features Contains contributions from the international who's-who of probability across several disciplines Offers an equal balance of theory and applications Explains the most important concepts of probability theory in a non-technical yet comprehensive way Provides in-depth examples of recent applications in the social and behavioral sciences as well as education, business, and law Intended Audience This Handbook makes an ideal library purchase. In addition, this volume should also be of interest to individual scholars in the social and behavioral sciences.
A Logical Introduction To Probability And Induction
DOWNLOAD
Author : Franz Huber
language : en
Publisher:
Release Date : 2019
A Logical Introduction To Probability And Induction written by Franz Huber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Philosophy categories.
A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy. On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules. In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject's mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically. A Logical Introduction to Probability and Induction aims to equip students with the ability to successfully carry out arguments. It begins with elementary deductive logic and uses it as basis for the material on probability and induction. Throughout the textbook results are carefully proved using the inference rules introduced at the beginning, and students are asked to solve problems in the form of 50 exercises. An instructor's manual contains the solutions to these exercises as well as suggested exam questions. The book does not presuppose any background in mathematics, although sections 10.3-10.9 on statistics are technically sophisticated and optional. The textbook is suitable for lower level undergraduate courses in philosophy and logic.