A Logical Introduction To Probability And Induction

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A Logical Introduction to Probability and Induction

Author : Franz Huber
Publisher : Oxford University Press, USA
ISBN 13 : 0190845392
Total Pages : 305 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis A Logical Introduction to Probability and Induction by : Franz Huber

Download or read book A Logical Introduction to Probability and Induction written by Franz Huber and published by Oxford University Press, USA. This book was released on 2018-12-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Probability and Inductive Logic

Author : Ian Hacking
Publisher : Cambridge University Press
ISBN 13 : 9780521775014
Total Pages : 326 pages
Book Rating : 4.7/5 (75 download)

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Book Synopsis An Introduction to Probability and Inductive Logic by : Ian Hacking

Download or read book An Introduction to Probability and Inductive Logic written by Ian Hacking and published by Cambridge University Press. This book was released on 2001-07-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

Argument and Inference

Author : Gregory Johnson
Publisher : MIT Press
ISBN 13 : 0262337770
Total Pages : 283 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Argument and Inference by : Gregory Johnson

Download or read book Argument and Inference written by Gregory Johnson and published by MIT Press. This book was released on 2017-01-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and practical introduction to inductive logic with a focus on arguments and the rules used for making inductive inferences. This textbook offers a thorough and practical introduction to inductive logic. The book covers a range of different types of inferences with an emphasis throughout on representing them as arguments. This allows the reader to see that, although the rules and guidelines for making each type of inference differ, the purpose is always to generate a probable conclusion. After explaining the basic features of an argument and the different standards for evaluating arguments, the book covers inferences that do not require precise probabilities or the probability calculus: the induction by confirmation, inference to the best explanation, and Mill's methods. The second half of the book presents arguments that do require the probability calculus, first explaining the rules of probability, and then the proportional syllogism, inductive generalization, and Bayes' rule. Each chapter ends with practice problems and their solutions. Appendixes offer additional material on deductive logic, odds, expected value, and (very briefly) the foundations of probability. Argument and Inference can be used in critical thinking courses. It provides these courses with a coherent theme while covering the type of reasoning that is most often used in day-to-day life and in the natural, social, and medical sciences. Argument and Inference is also suitable for inductive logic and informal logic courses, as well as philosophy of sciences courses that need an introductory text on scientific and inductive methods.

Choice and Chance

Author : Brian Skyrms
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Choice and Chance by : Brian Skyrms

Download or read book Choice and Chance written by Brian Skyrms and published by . This book was released on 1975 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Philosophy of Induction and Probability

Author : Laurence Jonathan Cohen
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to the Philosophy of Induction and Probability by : Laurence Jonathan Cohen

Download or read book An Introduction to the Philosophy of Induction and Probability written by Laurence Jonathan Cohen and published by Oxford University Press, USA. This book was released on 1989 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Franz Huber
Publisher : Oxford University Press
ISBN 13 : 0190845414
Total Pages : 256 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis A Logical Introduction to Probability and Induction by : Franz Huber

Download or read book A Logical Introduction to Probability and Induction written by Franz Huber and published by Oxford University Press. This book was released on 2018-11-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic, Deductive and Inductive

Author : Carveth Read
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.:/5 (311 download)

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Book Synopsis Logic, Deductive and Inductive by : Carveth Read

Download or read book Logic, Deductive and Inductive written by Carveth Read and published by . This book was released on 1901 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Implications of Induction

Author : L. Jonathan Cohen
Publisher : Routledge
ISBN 13 : 1000735508
Total Pages : 351 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Implications of Induction by : L. Jonathan Cohen

Download or read book The Implications of Induction written by L. Jonathan Cohen and published by Routledge. This book was released on 2019-10-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1973. This book presents a valid mode of reasoning that is different to mathematical probability. This inductive logic is investigated in terms of scientific investigation. The author presents his criteria of adequacy for analysing inductive support for hypotheses and discusses each of these criteria in depth. The chapters cover philosophical problems and paradoxes about experimental support, probability and justifiability, ending with a system of logical syntax of induction. Each section begins with a summary of its contents and there is a glossary of technical terms to aid the reader.

An Introduction to the Philosophy of Induction and Probability

Author : Laurence Jonathan Cohen
Publisher : Oxford University Press
ISBN 13 : 9780198750789
Total Pages : 217 pages
Book Rating : 4.7/5 (57 download)

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Book Synopsis An Introduction to the Philosophy of Induction and Probability by : Laurence Jonathan Cohen

Download or read book An Introduction to the Philosophy of Induction and Probability written by Laurence Jonathan Cohen and published by Oxford University Press. This book was released on 1989 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logical Foundations of Probability

Author : Rudolf Carnap
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Logical Foundations of Probability by : Rudolf Carnap

Download or read book Logical Foundations of Probability written by Rudolf Carnap and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Probability and Evidence

Author : Alfred Jules Ayer
Publisher : Columbia University Press
ISBN 13 : 9780231132756
Total Pages : 176 pages
Book Rating : 4.1/5 (327 download)

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Book Synopsis Probability and Evidence by : Alfred Jules Ayer

Download or read book Probability and Evidence written by Alfred Jules Ayer and published by Columbia University Press. This book was released on 2006 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition of Probability and Evidence, first published in 1972, one of the foremost analytical philosophers of the twentieth century addresses central questions in epistemology and the philosophy of science. Based on Ayer's influential Dewey Lectures of 1970, Probability and Evidence contains revised versions of the lectures and two additional essays. This new edition includes Graham Macdonald's extensive introduction explaining the book's importance and influence in contemporary philosophy.

Studies in Inductive Logic and Probability

Author : Rudolf Carnap (red.)
Publisher : Univ of California Press
ISBN 13 : 9780520018662
Total Pages : 274 pages
Book Rating : 4.0/5 (186 download)

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Book Synopsis Studies in Inductive Logic and Probability by : Rudolf Carnap (red.)

Download or read book Studies in Inductive Logic and Probability written by Rudolf Carnap (red.) and published by Univ of California Press. This book was released on 1971 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic

Author : Scott L. Pratt
Publisher : John Wiley & Sons
ISBN 13 : 1119050995
Total Pages : 272 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Logic by : Scott L. Pratt

Download or read book Logic written by Scott L. Pratt and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enlightening introduction to the study of logic: its history, philosophical foundations, and formal structures Logic: Inquiry, Argument, and Order is the first book of its kind to frame the study of introductory logic in terms of problems connected to wider issues of knowledge and judgment that arise in the context of racial, cultural, and religious diversity. With its accessible style and integration of philosophical inquiry and real-life concerns, this book offers a novel approach to the theory of logic and its relevance to questions of meaning and value that arise in the world around us. The book poses four problems for logic: Is logic separate from experience? Does logic require dualisms? Can logic reconcile opposed ways of understanding the world? And when things are divided, does the boundary have a logic? The author begins the exploration of these questions with a discussion of the process of analyzing and constructing arguments. Using the logical theories of C. S. Peirce, John Dewey, and Josiah Royce to frame the investigation, subsequent chapters outline the process of inquiry, the concept of communicative action, the nature of validity, categorical reasoning through the theory of the syllogism, and inductive reasoning and probability. The book concludes with a presentation of modal logic, propositional logic, and quantification. Logic is presented as emerging from the activities of inquiry and communication, allowing readers to understand even the most difficult aspects of formal logic as straightforward developments of the process of anticipating and taking action. Numerous practice problems use arguments related to issues of diversity and social theory, and the book introduces methods of proving validity that include Venn diagrams, natural deduction, and the method of tableaux. Logic: Inquiry, Argument, and Order is an ideal book for courses on philosophical methods and critical reasoning at the upper-undergraduate and graduate levels. It is also an insightful reference for anyone who would like to explore a cross-cultural approach to the topic of logic.

An Introduction to Logic

Author : Eulalio Baltazar
Publisher : Independently Published
ISBN 13 : 9781793926661
Total Pages : 388 pages
Book Rating : 4.9/5 (266 download)

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Book Synopsis An Introduction to Logic by : Eulalio Baltazar

Download or read book An Introduction to Logic written by Eulalio Baltazar and published by Independently Published. This book was released on 2019-01-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic inferential patterns of formal logic as they are embedded in everyday life, information technology, and science. It is designed to make clear the basic topics of classical and modern logic. The aim is to improve the reader's ability to navigate both everyday and science-based interactions.

Reliable Reasoning

Author : Gilbert Harman
Publisher : MIT Press
ISBN 13 : 0262517345
Total Pages : 119 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Reliable Reasoning by : Gilbert Harman

Download or read book Reliable Reasoning written by Gilbert Harman and published by MIT Press. This book was released on 2012-01-13 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Material Theory of Induction

Author : John D. Norton
Publisher : Bsps Open
ISBN 13 : 9781773852751
Total Pages : 544 pages
Book Rating : 4.8/5 (527 download)

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Book Synopsis Material Theory of Induction by : John D. Norton

Download or read book Material Theory of Induction written by John D. Norton and published by Bsps Open. This book was released on 2021-12-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or rules or a single formal device, such as the probability calculus. After millennia of halting efforts, none of these approaches has been unequivocally successful and debates between approaches persist. The Material Theory of Induction identifies the source of these enduring problems in the assumption taken at the outset: that inductive inference can be accommodated by a single formal account with universal applicability. Instead, it argues that that there is no single, universally applicable formal account. Rather, each domain has an inductive logic native to it.The content of that logic and where it can be applied are determined by the facts prevailing in that domain. Paying close attention to how inductive inference is conducted in science and copiously illustrated with real-world examples, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference.