An Introduction To The Philosophy Of Induction And Probability
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An Introduction To Probability And Inductive Logic
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Author : Ian Hacking
language : en
Publisher: Cambridge University Press
Release Date : 2001-07-02
An Introduction To Probability And Inductive Logic written by Ian Hacking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-02 with Mathematics categories.
An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.
An Introduction To The Philosophy Of Induction And Probability
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Author : Laurence Jonathan Cohen
language : en
Publisher: Oxford University Press, USA
Release Date : 1989
An Introduction To The Philosophy Of Induction And Probability written by Laurence Jonathan Cohen and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Language Arts & Disciplines categories.
Two new philosophical problems surrounding the gradation of certainty began to emerge in the 17th century and are still very much alive today. One is concerned with the evaluation of inductive reasoning, whether in science, jurisprudence, or elsewhere; the other with the interpretation of the mathematical calculus of change. This book, aimed at non-specialists, investigates both problems and the extent to which they are connected. Cohen demonstrates the diversity of logical structures that are available for judgements of probability, and explores the rationale for their appropriateness in different contexts of application. Thus his study deals with the complexity of the underlying philosophical issues without simply cataloging alternative conceptions or espousing a particular "favorite" theory.
A Logical Introduction To Probability And Induction
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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.
Probability
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Author : D. H. Mellor
language : en
Publisher: Psychology Press
Release Date : 2005
Probability written by D. H. Mellor and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This work presents the basic concepts of probability to philosophy students who are new to this area of the subject.
Philosophical Introduction To Probability
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Author : Maria Carla Galavotti
language : en
Publisher: Stanford Univ Center for the Study
Release Date : 2005
Philosophical Introduction To Probability written by Maria Carla Galavotti and has been published by Stanford Univ Center for the Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Philosophy categories.
Not limited to merely mathematics, probability has a rich and controversial philosophical aspect. A Philosophical Introduction to Probability showcases lesser-known philosophical notions of probability and explores the debate over their interpretations. Galavotti traces the history of probability and its mathematical properties and then discusses various philosophical positions on probability, from the Pierre Simon de Laplace's “classical” interpretation of probability to the logical interpretation proposed by John Maynard Keynes. This book is a valuable resource for students in philosophy and mathematics and all readers interested in notions of probability.
Creating Modern Probability
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 1998-01-12
Creating Modern Probability written by Jan von Plato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-12 with Mathematics categories.
In this book the author charts the history and development of modern probability theory.
The Emergence Of Probability
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Author : Ian Hacking
language : en
Publisher: Cambridge University Press
Release Date : 2006-07-24
The Emergence Of Probability written by Ian Hacking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-24 with Science categories.
Historical records show that there was no real concept of probability in Europe before the mid-seventeenth century, although the use of dice and other randomizing objects was commonplace. Ian Hacking presents a philosophical critique of early ideas about probability, induction, and statistical inference and the growth of this new family of ideas in the fifteenth, sixteenth, and seventeenth centuries. Hacking invokes a wide intellectual framework involving the growth of science, economics, and the theology of the period. He argues that the transformations that made it possible for probability concepts to emerge have constrained all subsequent development of probability theory and determine the space within which philosophical debate on the subject is still conducted. First published in 1975, this edition includes an introduction that contextualizes his book in light of developing philosophical trends. Ian Hacking is the winner of the Holberg International Memorial Prize 2009.
Reliable Reasoning
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Author : Gilbert Harman
language : en
Publisher: MIT Press
Release Date : 2012-01-13
Reliable Reasoning written by Gilbert Harman and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Psychology categories.
The implications for philosophy and cognitive science of developments in statistical learning theory. In Reliable Reasoning, Gilbert Harman and Sanjeev Kulkarni—a philosopher and an engineer—argue that philosophy and cognitive science can benefit from statistical learning theory (SLT), the theory that lies behind recent advances in machine learning. The philosophical problem of induction, for example, is in part about the reliability of inductive reasoning, where the reliability of a method is measured by its statistically expected percentage of errors—a central topic in SLT. After discussing philosophical attempts to evade the problem of induction, Harman and Kulkarni provide an admirably clear account of the basic framework of SLT and its implications for inductive reasoning. They explain the Vapnik-Chervonenkis (VC) dimension of a set of hypotheses and distinguish two kinds of inductive reasoning. The authors discuss various topics in machine learning, including nearest-neighbor methods, neural networks, and support vector machines. Finally, they describe transductive reasoning and suggest possible new models of human reasoning suggested by developments in SLT.