Studies in Inductive Logic and Probability

Studies in Inductive Logic and Probability
Author: Rudolf Carnap
Publisher: Univ of California Press
Total Pages: 312
Release: 1980-01-01
Genre: Mathematics
ISBN: 9780520038264

A basic system of inductive logic; An axiomatic foundation for the logic of inductive generalization; A survey of inductive systems; On the condition of partial exchangeability; Representation theorems of the de finetti type; De finetti's generalizations of excahngeability; The structure of probabilities defined on first-order languages; A subjectivit's guide to objective chance.

Studies in Inductive Logic and Probability, Volume I

Studies in Inductive Logic and Probability, Volume I
Author: Rudolf Carnap
Publisher: Univ of California Press
Total Pages: 270
Release: 2023-11-15
Genre: Mathematics
ISBN: 0520334256

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1971.

An Introduction to Probability and Inductive Logic

An Introduction to Probability and Inductive Logic
Author: Ian Hacking
Publisher: Cambridge University Press
Total Pages: 326
Release: 2001-07-02
Genre: Mathematics
ISBN: 9780521775014

An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

Studies in Inductive Logic and Probability, Volume II

Studies in Inductive Logic and Probability, Volume II
Author: Richard C. Jeffrey
Publisher: Univ of California Press
Total Pages: 312
Release: 2023-11-15
Genre: Mathematics
ISBN: 0520318323

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1980.

Argument and Inference

Argument and Inference
Author: Gregory Johnson
Publisher: MIT Press
Total Pages: 283
Release: 2017-01-06
Genre: Philosophy
ISBN: 0262337770

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.

Pure Inductive Logic

Pure Inductive Logic
Author: Jeffrey Paris
Publisher: Cambridge University Press
Total Pages: 353
Release: 2015-04-02
Genre: Mathematics
ISBN: 1316393070

Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecting symmetry and ignoring irrelevant information. The authors uncover further rationality concepts, both in the unary and in the newly emerging polyadic languages, such as conformity, spectrum exchangeability, similarity and language invariance. For logicians with a mathematical grounding, this book provides a complete self-contained course on the subject, taking the reader from the basics up to the most recent developments. It is also a useful reference for a wider audience from philosophy and computer science.

Inductive Logic

Inductive Logic
Author: Dov M. Gabbay
Publisher: Elsevier
Total Pages: 801
Release: 2011-05-27
Genre: Mathematics
ISBN: 0080931693

Inductive Logic is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topics that are of exclusively philosophical interest, inductive logic — as this handbook attests — is a research field where philosophers and scientists fruitfully and constructively interact. This handbook covers the rich history of scientific turning points in Inductive Logic, including probability theory and decision theory. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. - Chapter on the Port Royal contributions to probability theory and decision theory - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights