Introduction To Medieval Logic
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Introduction to Medieval Logic
Medieval logicians advanced far beyond the logic of Aristotle, and this book attempts to demonstrate the magnitude of their achievement. Walter Burley, William Ockham, John Buridan, Albert of Saxony, and Paul of Venice are among the great figures examined.
William of Sherwood's Introduction to Logic
William of Sherwood's Introduction to Logic was first published in 1966. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The Introduction to Logic by William of Sherwood, of which this is the first English translation, is the oldest surviving treatise which contains a treatment of the most distinctive and interesting medieval contributions to logic and semantics. Sherwood was a master at Oxford and Paris in the thirteenth century and the author of several logical treatises. Besides presenting material of interest in its own right, this volume is useful as an introduction to the study of those aspects of medieval philosophy that are most pertinent to the interests of contemporary philosophers. Professor Kretzmann has provided biographical, bibliographical, and philosophical backgrounds on Sherwood and an analytical table of contents.
Introduction To Mathematical Logic (Extended Edition)
Author: Michal Walicki
language: en
Publisher: World Scientific Publishing Company
Release Date: 2016-08-12
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.