Degrees Of Belief
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Degrees Of Belief
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Author : Franz Huber
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-21
Degrees Of Belief written by Franz Huber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-21 with Philosophy categories.
This anthology is the first book to give a balanced overview of the competing theories of degrees of belief. It also explicitly relates these debates to more traditional concerns of the philosophy of language and mind and epistemic logic.
Degrees Of Belief
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Author : Steven G. Vick
language : en
Publisher: ASCE Publications
Release Date : 2002-01-01
Degrees Of Belief written by Steven G. Vick and has been published by ASCE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Technology & Engineering categories.
Observing at a risk analysis conference for civil engineers that participants did not share a common language of probability, Vick, a consultant and geotechnic engineer, set out to not only examine why, but to also bridge the gap. He reexamines three elements at the core of engineering the concepts
Putting Logic In Its Place
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Author : David Christensen
language : en
Publisher: Oxford University Press
Release Date : 2004-11-04
Putting Logic In Its Place written by David Christensen 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 2004-11-04 with Mathematics categories.
What role, if any, does formal logic play in characterizing epistemically rational belief? Traditionally, belief is seen in a binary way - either one believes a proposition, or one doesn't. Given this picture, it is attractive to impose certain deductive constraints on rational belief: that one's beliefs be logically consistent, and that one believe the logical consequences of one's beliefs. A less popular picture sees belief as a graded phenomenon. This picture (explored more bydecision-theorists and philosophers of science thatn by mainstream epistemologists) invites the use of probabilistic coherence to constrain rational belief. But this latter project has often involved defining graded beliefs in terms of preferences, which may seem to change the subject away fromepistemic rationality.Putting Logic in its Place explores the relations between these two ways of seeing beliefs. It argues that the binary conception, although it fits nicely with much of our commonsense thought and talk about belief, cannot in the end support the traditional deductive constraints on rational belief. Binary beliefs that obeyed these constraints could not answer to anything like our intuitive notion of epistemic rationality, and would end up having to be divorced from central aspects of ourcognitive, practical, and emotional lives.But this does not mean that logic plays no role in rationality. Probabilistic coherence should be viewed as using standard logic to constrain rational graded belief. This probabilistic constraint helps explain the appeal of the traditional deductive constraints, and even underlies the force of rationally persuasive deductive arguments. Graded belief cannot be defined in terms of preferences. But probabilistic coherence may be defended without positing definitional connections between beliefsand preferences. Like the traditional deductive constraints, coherence is a logical ideal that humans cannot fully attain. Nevertheless, it furnishes a compelling way of understanding a key dimension of epistemic rationality.
Between Probability And Certainty
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Author : Martin Smith
language : en
Publisher: Oxford University Press
Release Date : 2016
Between Probability And Certainty written by Martin Smith 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 2016 with Mathematics categories.
Martin Smith explores the question of what it takes for a belief to be justified or rational. He argues that in order to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition abnormal in the sense of calling for special, independent explanation.
The Art Of Insight In Science And Engineering
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Author : Sanjoy Mahajan
language : en
Publisher: MIT Press
Release Date : 2014-11-07
The Art Of Insight In Science And Engineering written by Sanjoy Mahajan and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Science categories.
Tools to make hard problems easier to solve. In this book, Sanjoy Mahajan shows us that the way to master complexity is through insight rather than precision. Precision can overwhelm us with information, whereas insight connects seemingly disparate pieces of information into a simple picture. Unlike computers, humans depend on insight. Based on the author's fifteen years of teaching at MIT, Cambridge University, and Olin College, The Art of Insight in Science and Engineering shows us how to build insight and find understanding, giving readers tools to help them solve any problem in science and engineering. To master complexity, we can organize it or discard it. The Art of Insight in Science and Engineering first teaches the tools for organizing complexity, then distinguishes the two paths for discarding complexity: with and without loss of information. Questions and problems throughout the text help readers master and apply these groups of tools. Armed with this three-part toolchest, and without complicated mathematics, readers can estimate the flight range of birds and planes and the strength of chemical bonds, understand the physics of pianos and xylophones, and explain why skies are blue and sunsets are red. The Art of Insight in Science and Engineering will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Uncertainty Theory
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Author : Baoding Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Uncertainty Theory written by Baoding Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Business & Economics categories.
"This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The main purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers and students in the field of applied mathematics, operations research, statistics, industrial engineering, information science and management science will find this work a useful reference."--BOOK JACKET. Title Summary field provided by Blackwell North America, Inc. All Rights Reserved.
Unsettled Thoughts
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Author : Julia Staffel
language : en
Publisher: Oxford University Press
Release Date : 2019-12-12
Unsettled Thoughts written by Julia Staffel 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 2019-12-12 with Philosophy categories.
How should thinkers cope with uncertainty? What makes their degrees of belief rational, and how should they reason about uncertain matters? In epistemology, recent research has attempted to answer these questions by developing formal models of ideally rational credences. However, we know from psychological research that perfect rationality is unattainable for human thinkers—and so this raises the question of how rational ideals can apply to human thinkers. A popular reply is that the more a thinker's imperfectly rational credences approximate compliance with norms of ideal rationality, the better. But what exactly does this mean? Why is it better to be less irrational, if we can't ever be completely rational? And what does being closer to ideally rational amount to? If ideal models of rationality are supposed to help us understand the rationality of human, imperfect thinkers, we need answers to these questions. Unsettled Thoughts breaks new ground in the study of rationality in providing these answers: we can explain why it's better to be less irrational, because less irrational degrees of belief are generally more accurate and better at guiding our actions. Moreover, the way in which approximating ideal rationality is beneficial can be made formally precise by using a variety of distance measures that track the benefits of being more rational.
Probability And Bayesian Modeling
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Author : Jim Albert
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Probability And Bayesian Modeling written by Jim Albert and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
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.
Philosophy Of Probability
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Author : Antony Eagle
language : en
Publisher:
Release Date : 2011
Philosophy Of Probability written by Antony Eagle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Olasılık-Felsefe categories.
Alan Hajek, The Australian National University, Australia.