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Author : Alfred Tarski
Publisher : Courier Corporation
Page : 272 pages
File Size : 53,8 Mb
Release : 2013-07-04
Category : Mathematics
ISBN : 9780486318899
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 : Unknown
Page : 258 pages
File Size : 43,9 Mb
Release : 2021-02-25
Category : Electronic
ISBN : 1774641755
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,Jan Tarski
Publisher : Oxford University Press, USA
Page : 254 pages
File Size : 55,5 Mb
Release : 1994
Category : Arithmetic
ISBN : 9780195044720
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
Page : 370 pages
File Size : 47,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 9781107494589
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
Page : 514 pages
File Size : 50,7 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486497853
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 : Robert Nola,Howard Sankey
Publisher : Routledge
Page : 343 pages
File Size : 53,5 Mb
Release : 2014-12-18
Category : Philosophy
ISBN : 9781317493488
What is it to be scientific? Is there such a thing as scientific method? And if so, how might such methods be justified? Robert Nola and Howard Sankey seek to provide answers to these fundamental questions in their exploration of the major recent theories of scientific method. Although for many scientists their understanding of method is something they just pick up in the course of being trained, Nola and Sankey argue that it is possible to be explicit about what this tacit understanding of method is, rather than leave it as some unfathomable mystery. They robustly defend the idea that there is such a thing as scientific method and show how this might be legitimated. This book begins with the question of what methodology might mean and explores the notions of values, rules and principles, before investigating how methodologists have sought to show that our scientific methods are rational. Part 2 of this book sets out some principles of inductive method and examines its alternatives including abduction, IBE, and hypothetico-deductivism. Part 3 introduces probabilistic modes of reasoning, particularly Bayesianism in its various guises, and shows how it is able to give an account of many of the values and rules of method. Part 4 considers the ideas of philosophers who have proposed distinctive theories of method such as Popper, Lakatos, Kuhn and Feyerabend and Part 5 continues this theme by considering philosophers who have proposed naturalised theories of method such as Quine, Laudan and Rescher. This book offers readers a comprehensive introduction to the idea of scientific method and a wide-ranging discussion of how historians of science, philosophers of science and scientists have grappled with the question over the last fifty years.
Author : Alfred Tarski
Publisher : Oxford University Press
Page : 258 pages
File Size : 42,6 Mb
Release : 1994-01-06
Category : Mathematics
ISBN : 9780198021391
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 : Alfred Tarski
Publisher : Hackett Publishing
Page : 542 pages
File Size : 44,9 Mb
Release : 1983-01-01
Category : Philosophy
ISBN : 091514476X
Author : Alfred Tarski,Andrzej Mostowski,Raphael M. Robinson
Publisher : Dover Books on Mathematics
Page : 0 pages
File Size : 43,7 Mb
Release : 2010
Category : Mathematics
ISBN : 0486477037
This well-known book by the famed logician consists of three treatises: A General Method in Proofs of Undecidability, Undecidability and Essential Undecidability in Mathematics, and Undecidability of the Elementary Theory of Groups. 1953 edition.
Author : Edward John Lemmon
Publisher : Hackett Publishing
Page : 244 pages
File Size : 54,8 Mb
Release : 1978-01-01
Category : Philosophy
ISBN : 0915144506
"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 : Alfred Taraski
Publisher : Unknown
Page : 0 pages
File Size : 52,7 Mb
Release : 1965
Category : Arithmetic
ISBN : OCLC:1087083813
Author : John Etchemendy
Publisher : Stanford Univ Center for the Study
Page : 174 pages
File Size : 43,9 Mb
Release : 1999
Category : Mathematics
ISBN : 1575861941
The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.
Author : Eulalio Baltazar,Albert Mosley
Publisher : Independently Published
Page : 388 pages
File Size : 48,5 Mb
Release : 2019-01-12
Category : Philosophy
ISBN : 1793926662
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.
Author : P. F. Strawson
Publisher : Taylor & Francis
Page : 279 pages
File Size : 47,9 Mb
Release : 2012-07-26
Category : Philosophy
ISBN : 9781136810688
First published in 1952, professor Strawson’s highly influential Introduction to Logical Theory provides a detailed examination of the relationship between the behaviour of words in common language and the behaviour of symbols in a logical system. He seeks to explain both the exact nature of the discipline known as Formal Logic, and also to reveal something of the intricate logical structure of ordinary unformalised discourse.
Author : Calvin Jongsma
Publisher : Springer Nature
Page : 482 pages
File Size : 44,8 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9783030253585
This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.