Natural Deduction
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Author | : Mark Jago |
Publisher | : Oxford University Press |
Total Pages | : 369 |
Release | : 2018 |
Genre | : Philosophy |
ISBN | : 0198823819 |
Download What Truth is Book in PDF, Epub and Kindle
Mark Jago offers a new metaphysical account of truth. He argues that to be true is to be made true by the existence of a suitable worldly entity. Truth arises as a relation between a proposition - the content of our sayings, thoughts, beliefs, and so on - and an entity (or entities) in the world.
Author | : Richard T.W. Arthur |
Publisher | : Broadview Press |
Total Pages | : 451 |
Release | : 2011-05-25 |
Genre | : Philosophy |
ISBN | : 1770481974 |
Download Natural Deduction Book in PDF, Epub and Kindle
Richard Arthur’s Natural Deduction provides a wide-ranging introduction to logic. In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python.
Author | : Andrzej Indrzejczak |
Publisher | : Springer Science & Business Media |
Total Pages | : 515 |
Release | : 2010-07-03 |
Genre | : Philosophy |
ISBN | : 9048187850 |
Download Natural Deduction, Hybrid Systems and Modal Logics Book in PDF, Epub and Kindle
This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
Author | : Dag Prawitz |
Publisher | : Courier Dover Publications |
Total Pages | : 132 |
Release | : 2006-02-24 |
Genre | : Mathematics |
ISBN | : 0486446557 |
Download Natural Deduction Book in PDF, Epub and Kindle
An innovative approach to the semantics of logic, proof-theoretic semantics seeks the meaning of propositions and logical connectives within a system of inference. Gerhard Gentzen invented proof-theoretic semantics in the early 1930s, and Dag Prawitz, the author of this study, extended its analytic proofs to systems of natural deduction. Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The concept of natural deduction follows a truly natural progression, establishing the relationship between a noteworthy systematization and the interpretation of logical signs. As this survey explains, the deduction's principles allow it to proceed in a direct fashion — a manner that permits every natural deduction's transformation into the equivalent of normal form theorem. A basic result in proof theory, the normal form theorem was established by Gentzen for the calculi of sequents. The proof of this result for systems of natural deduction is in many ways simpler and more illuminating than alternative methods. This study offers clear illustrations of the proof and numerous examples of its advantages.
Author | : Richard T.W. Arthur |
Publisher | : Broadview Press |
Total Pages | : 460 |
Release | : 2016-11-30 |
Genre | : Philosophy |
ISBN | : 1770486488 |
Download An Introduction to Logic - Second Edition Book in PDF, Epub and Kindle
In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. A previous edition of this book appeared under the title Natural Deduction. This new edition adds clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration.
Author | : Sergei Artemov |
Publisher | : Cambridge University Press |
Total Pages | : 271 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108424910 |
Download Justification Logic Book in PDF, Epub and Kindle
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Author | : P. D. Magnus |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Logic |
ISBN | : |
Download Forall X Book in PDF, Epub and Kindle
Author | : W. V. QUINE |
Publisher | : Harvard University Press |
Total Pages | : 144 |
Release | : 2009-06-30 |
Genre | : Philosophy |
ISBN | : 0674042492 |
Download ELEMENTARY LOGIC REV ED P Book in PDF, Epub and Kindle
Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.
Author | : Luiz Carlos Pereira |
Publisher | : Springer |
Total Pages | : 288 |
Release | : 2014-07-08 |
Genre | : Philosophy |
ISBN | : 9400775482 |
Download Advances in Natural Deduction Book in PDF, Epub and Kindle
This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.
Author | : Dirk van Dalen |
Publisher | : Springer Science & Business Media |
Total Pages | : 218 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 3662023822 |
Download Logic and Structure Book in PDF, Epub and Kindle
New corrected printing of a well-established text on logic at the introductory level.