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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.

Induction (Logic)

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Induction (Logic) --- Induction (Logique)

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Knowledge, Theory of --- Induction (Logic) --- Experience

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A free ebook version of this title is available through Luminos, University of California Press's Open Access publishing program. Visit www.luminosoa.org to learn more. This book explores analytic induction, an approach to the analysis of cross-case evidence on qualitative outcomes that has deep roots in sociology. A popular research technique in the early decades of empirical sociology, analytic induction differs fundamentally as a method of social research from conventional variation-based approaches. In Analytic Induction for Social Research, Charles C. Ragin demonstrates that much is gained from systematizing analytic induction. The approach he introduces here offers a new template for conducting cross-case analysis and provides a new set of tools for answering common research questions that existing methods cannot address.

Social sciences --- Induction (Logic) --- Analysis (Philosophy) --- Research.

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A central figure in Victorian science, William Whewell held professorships in Mineralogy & Moral Philosophy at Trinity College, Cambridge, before becoming Master of the college in 1841. His mathematical textbooks, such as A Treatise on Dynamics, were instrumental in bringing French analytical methods into British science. This three-volume history, first published in 1837, is one of Whewell's most famous works. It provides a history of the physical sciences that culminates with the mechanics, astronomy, & chemistry of 'modern times'. Volume 2 focuses on the rise & development of modern mechanics in the 17th century. Whewell shows how Galileo's laws of motion exemplify a paradigmatic shift from 'formal' to 'physical' sciences - a new approach concerned with explaining causes rather than merely observing phenomena. It also discusses the implications for physical astronomy of Newton's discoveries.

Induction (Logic) --- Inductive logic --- Logic, Inductive --- Logic --- Reasoning