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Author: Alfred Tarski
Publisher: Courier Corporation
Published: 2013-07-04
Total Pages: 272
ISBN-13: 0486318893
DOWNLOAD EBOOK →This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Author: Alfred Tarski
Publisher:
Published: 2021-02-25
Total Pages: 258
ISBN-13: 9781774641750
DOWNLOAD EBOOK →This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout. Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His work on the concepts of truth and logical consequence as defined by mathematical theory are cornerstones of modern logic, influencing developments in mathematics, philosophy, linguistics, and computer science. His teaching on logic and mathematics culminated in the 1941 classic INTRODUCTION TO LOGIC, which uses the method of deduction and explores logic and methodology as it pertains to creating mathematical theories.
Author: Alfred Tarski
Publisher: Oxford University Press, USA
Published: 1994
Total Pages: 254
ISBN-13: 019504472X
DOWNLOAD EBOOK →Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw upon the concepts and principles presented in the first section. Numerous exercises and an introduction to the theory of real numbers are also presented. Students, teachers and general readers interested in logic and mathematics will find this book to be an invaluable introduction to the subject.
Author: Peter Smith
Publisher: Cambridge University Press
Published: 2003-11-06
Total Pages: 370
ISBN-13: 9780521008044
DOWNLOAD EBOOK →Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
Author: Richard E. Hodel
Publisher: Courier Corporation
Published: 2013-01-01
Total Pages: 514
ISBN-13: 0486497852
DOWNLOAD EBOOK →This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Author: Alfred Tarski
Publisher: Hackett Publishing
Published: 1983-01-01
Total Pages: 542
ISBN-13: 9780915144761
DOWNLOAD EBOOK →Author: Edward John Lemmon
Publisher: Hackett Publishing
Published: 1978-01-01
Total Pages: 244
ISBN-13: 9780915144501
DOWNLOAD EBOOK →"One of the most careful and intensive among the introductory texts that can be used with a wide range of students. It builds remarkably sophisticated technical skills, a good sense of the nature of a formal system, and a solid and extensive background for more advanced work in logic. . . . The emphasis throughout is on natural deduction derivations, and the text's deductive systems are its greatest strength. Lemmon's unusual procedure of presenting derivations before truth tables is very effective." --Sarah Stebbins, The Journal of Symbolic Logic
Author: Warren Goldfarb
Publisher: Hackett Publishing
Published: 2003-09-15
Total Pages: 309
ISBN-13: 1603845852
DOWNLOAD EBOOK →This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.
Author: Carlo Cellucci
Publisher:
Published: 2011
Total Pages: 484
ISBN-13:
DOWNLOAD EBOOK →The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VIâ "VII of Platoâ (TM)s Republic and Aristotleâ (TM)s Prior and Posterior Analytics, to Kantâ (TM)s Critique of Pure Reason and Millâ (TM)s A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers by Bertrand Russell (Logic and Knowledge. Essays, 1901â "1950). However, it has remained an underdeveloped theme in the last century, because logic has been treated as separate from knowledge. This book does not hope to make up for a century-long absence of discussion. Rather, its ambition is to call attention to the theme and stimulating renewed reflection upon it. The book collects essays of leading figures in the field and it addresses the theme as a topic of current debate, or as a historical case study, or when appropriate as both. Each essay is followed by the comments of a younger discussant, in an attempt to transform what might otherwise appear as a monologue into an ongoing dialogue; each section begins with an historical essay and ends with an essay by one of the editors.
