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Degrees of Belief

Degrees of Belief
Author: Franz Huber
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2008-12-21
Genre: Philosophy
ISBN: 1402091982

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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

Degrees of Belief
Author: Steven G. Vick
Publisher: ASCE Publications
Total Pages: 469
Release: 2002-01-01
Genre: Technology & Engineering
ISBN: 0784470863

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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

Putting Logic in Its Place
Author: David Christensen
Publisher: Oxford University Press on Demand
Total Pages: 200
Release: 2004-11-04
Genre: Mathematics
ISBN: 0199263256

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Does logic help determine whether beliefs are rational? The author argues that it does - but only once we understand beliefs as coming in degrees. He explains the degree-of-belief approach offers the key to understanding how logical arguments work.


Quitting Certainties

Quitting Certainties
Author: Michael G. Titelbaum
Publisher: Oxford University Press
Total Pages: 362
Release: 2013
Genre: Mathematics
ISBN: 0199658307

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This book presents a new Bayesian framework for modeling rational degrees of belief, called the Certainty-Loss Framework.


Lotteries, Knowledge, and Rational Belief

Lotteries, Knowledge, and Rational Belief
Author: Igor Douven
Publisher: Cambridge University Press
Total Pages: 279
Release: 2021-02-04
Genre: Philosophy
ISBN: 1108386407

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We talk and think about our beliefs both in a categorical (yes/no) and in a graded way. How do the two kinds of belief hang together? The most straightforward answer is that we believe something categorically if we believe it to a high enough degree. But this seemingly obvious, near-platitudinous claim is known to give rise to a paradox commonly known as the 'lottery paradox' – at least when it is coupled with some further seeming near-platitudes about belief. How to resolve that paradox has been a matter of intense philosophical debate for over fifty years. This volume offers a collection of newly commissioned essays on the subject, all of which provide compelling reasons for rethinking many of the fundamentals of the debate.


The Stability of Belief

The Stability of Belief
Author: Hannes Leitgeb
Publisher: Oxford University Press
Total Pages: 368
Release: 2017-03-24
Genre: Philosophy
ISBN: 0191047015

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In everyday life we normally express our beliefs in all-or-nothing terms: I believe it is going to rain; I don't believe that my lottery ticket will win. In other cases, if possible, we resort to numerical probabilities: my degree of belief that it is going to rain is 80%; the probability that I assign to my ticket winning is one in a million. It is an open philosophical question how all-or-nothing belief and numerical belief relate to each other, and how we ought to reason with them simultaneously. The Stability of Belief develops a theory of rational belief that aims to answer this question. Hannes Leitgeb develops a joint normative theory of all-or-nothing belief and numerical degrees of belief. While rational all-or-nothing belief is studied in traditional epistemology and is usually assumed to obey logical norms, rational degrees of belief constitute the subject matter of Bayesian epistemology and are normally taken to conform to probabilistic norms. One of the central open questions in formal epistemology is what beliefs and degrees of belief have to be like in order for them to cohere with each other. The answer defended in this book is a stability account of belief: a rational agent believes a proposition just in case the agent assigns a stably high degree of belief to it. Leitgeb determines this theory's consequences for, and applications to, learning, suppositional reasoning, decision-making, assertion, acceptance, conditionals, and chance. The volume builds new bridges between logic and probability theory, traditional and formal epistemology, theoretical and practical rationality, and synchronic and diachronic norms for reasoning.


The Laws of Belief

The Laws of Belief
Author: Wolfgang Spohn
Publisher: Oxford University Press
Total Pages:
Release: 2012-03-29
Genre: Philosophy
ISBN: 0191629278

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Wolfgang Spohn presents the first full account of the dynamic laws of belief, by means of ranking theory. This book is his long-awaited presentation of ranking theory and its ramifications. He motivates and introduces the basic notion of a ranking function, which recognises degrees of belief and at the same time accounts for belief simpliciter. He provides a measurement theory for ranking functions, accounts for auto-epistemology in ranking-theoretic terms, and explicates the basic notion of a (deductive or non-deductive) reason. The rich philosophical applications of Spohn's theory include: a new account of lawlikeness, an account of ceteris paribus laws, a new perspective on dispositions, a rich and detailed theory of deterministic causation, an understanding of natural modalities as an objectification of epistemic modalities, an account of the experiential basis of belief—and thus a restructuring of the debate on foundationalism and coherentism (and externalism and contextualism)—and, finally, a revival of fundamental a priori principles of reason fathoming the basics of empiricism and the relation between reason and truth, and concluding in a proof of a weak principle of causality. All this is accompanied by thorough comparative discussions, on a general level as well as within each topic, and in particular with respect to probability theory.


Between Probability and Certainty

Between Probability and Certainty
Author: Martin Smith
Publisher: Oxford University Press
Total Pages: 256
Release: 2017-11-17
Genre: Philosophy
ISBN: 0191071633

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Martin Smith explores a question central to philosophy—namely, what does it take for a belief to be justified or rational? According to a widespread view, whether one has justification for believing a proposition is determined by how probable that proposition is, given one's evidence. In the present book this view is rejected and replaced with another: in order for one 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. This conception of justification bears upon a range of topics in epistemology and beyond, including the relation between justification and knowledge, the force of statistical evidence, the problem of scepticism, the lottery and preface paradoxes, the viability of multiple premise closure, the internalist/externalist debate, the psychology of human reasoning, and the relation between belief and degrees of belief. Ultimately, this way of looking at justification guides us to a new, unfamiliar picture of how we should respond to our evidence and manage our own fallibility. This picture is developed here.


Responsible Belief

Responsible Belief
Author: Rik Peels
Publisher: Oxford University Press
Total Pages: 289
Release: 2017
Genre: Philosophy
ISBN: 0190608110

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What we believe and what we do not believe has a great impact on what we do and fail to do. Hence, if we want to act responsibly, we should believe responsibly. However, do we have the kind of control over our beliefs that such responsibility for our beliefs seems to require? Do we have certain obligations to control or influence our beliefs on particular occasions? And do we sometimes believe responsibly despite violating such obligations, namely because we are excused by, say, indoctrination or ignorance? By answering each of these questions, Rik Peels provides a theory of what it is to believe responsibly. He argues that we lack control over our beliefs, but that we can nonetheless influence our beliefs by performing actions that make a difference to what we believe. We have a wide variety of moral, prudential, and epistemic obligations to perform such belief-influencing actions. We can be held responsible for our beliefs in virtue of such influence on our beliefs. Sometimes, we believe responsibly despite having violated such obligations, namely if we are excused, by force, ignorance, or luck. A careful consideration of these excuses teaches us, respectively, that responsible belief entails that we could have failed to have that belief, that responsible belief is in a specific sense radically subjective, and that responsible belief is compatible with its being a matter of luck that we hold that belief.


Degrees of Belief

Degrees of Belief
Author: Steven G. Vick
Publisher: ASCE Publications
Total Pages: 472
Release: 2002-01-01
Genre: Technology & Engineering
ISBN: 9780784405987

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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