Foundations Of Formal Logic
DOWNLOAD
Download Foundations Of Formal Logic PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Foundations Of Formal Logic book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Foundations Of Formal Logic
DOWNLOAD
Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-06-12
Foundations Of Formal Logic written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-12 with Computers categories.
"Foundations of Formal Logic" "Foundations of Formal Logic" presents a sweeping and rigorous exploration of the principles, systems, and philosophical underpinnings of modern formal logic. Beginning with a rich historical and philosophical context, the book traces the emergence of logical reasoning from its ancient origins through the revolutionary contributions of Aristotle and Frege, ultimately charting the evolution of formal systems and their foundational role in mathematics. Engaging with pivotal philosophical debates—spanning realism, nominalism, logicism, formalism, and intuitionism—it offers critical insight into the shifting landscape of logic’s interpretation and its continuing influence on contemporary thought. Delving into the technical heart of the subject, the text systematically covers the syntax and semantics of formal languages, propositional and predicate logic, and the intricate structures of model theory and proof theory. Readers are guided through the construction of formal languages, the architecture of proofs, and the profound implications of soundness, completeness, and compactness theorems. Advanced and non-classical logics—including modal, temporal, intuitionistic, paraconsistent, and fuzzy logics—are deftly introduced, highlighting the depth and versatility of formal reasoning in addressing complex phenomena. The latter chapters bridge logic with the wider intellectual landscape, illuminating its centrality to computer science, artificial intelligence, mathematics, linguistics, and the sciences. Foundational milestones, such as Gödel’s incompleteness theorems and Turing’s theory of computation, stand alongside discussions of formal verification, knowledge representation, and the logical foundations of databases. Concluding with a survey of open problems, new paradigms, and ethical dimensions, "Foundations of Formal Logic" equips readers with both a comprehensive reference and a roadmap to the enduring questions and future frontiers of logical inquiry.
Mathematical Logic
DOWNLOAD
Author : Wei Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-26
Mathematical Logic written by Wei Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-26 with Mathematics categories.
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
Foundations Of Formal Logic
DOWNLOAD
Author : HENRY BRADFORD. SMITH
language : en
Publisher:
Release Date : 2018
Foundations Of Formal Logic written by HENRY BRADFORD. SMITH and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Foundations Of Formal Logic
DOWNLOAD
Author : Henry Bradford Smith
language : en
Publisher:
Release Date : 1922
Foundations Of Formal Logic written by Henry Bradford Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1922 with Logic categories.
Dynamic Logic
DOWNLOAD
Author : David Harel
language : en
Publisher: MIT Press
Release Date : 2000-09-29
Dynamic Logic written by David Harel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-29 with Computers categories.
This book provides the first comprehensive introduction to Dynamic Logic. Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications. This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.
Foundations Of Formal Logic Classic Reprint
DOWNLOAD
Author : Henry Bradford Smith
language : en
Publisher: Forgotten Books
Release Date : 2017-10-15
Foundations Of Formal Logic Classic Reprint written by Henry Bradford Smith and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-15 with Philosophy categories.
Excerpt from Foundations of Formal Logic The writer has again to express his indebtedness to Professor Singer for his introduction to the method which is here employed. This indebtedness is to be referred not only to the Syllabus of his lectures (reprinted pp. 46-52 in the writer's Letters on Logic) but also to many hints thrown out in private discussion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
A Tour Through Mathematical Logic
DOWNLOAD
Author : Robert S. Wolf
language : en
Publisher: American Mathematical Soc.
Release Date : 2005-12-31
A Tour Through Mathematical Logic written by Robert S. Wolf and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-31 with Algebra, Abstract categories.
A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.
Foundations Of Logic Programming
DOWNLOAD
Author : J. W. Lloyd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Logic Programming written by J. W. Lloyd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book gives an account oC the mathematical Coundations oC logic programming. I have attempted to make the book selC-contained by including prooCs of almost all the results needed. The only prerequisites are some Camiliarity with a logic programming language, such as PROLOG, and a certain mathematical maturity. For example, the reader should be Camiliar with induction arguments and be comCortable manipulating logical expressions. Also the last chapter assumes some acquaintance with the elementary aspects of metric spaces, especially properties oC continuous mappings and compact spaces. Chapter 1 presents the declarative aspects of logic programming. This chapter contains the basic material Crom first order logic and fixpoint theory which will be required. The main concepts discussed here are those oC a logic program, model, correct answer substitution and fixpoint. Also the unification algorithm is discussed in some detail. Chapter 2 is concerned with the procedural semantics oC logic programs. The declarative concepts are implemented by means oC a specialized Corm oC resolution, called SLD-resolution. The main results of this chapter concern the soundness and completeness oC SLD-resolution and the independence oC the computation rule. We also discuss the implications of omitting the occur check from PROLOG implementations. Chapter 3 discusses negation. Current PROLOG systems implement a form of negation by means of the negation as failure rule. The main results of this chapter are the soundness and completeness oC the negation as failure rule.
An Introduction To Formal Logic
DOWNLOAD
Author : Peter Smith
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-06
An Introduction To Formal Logic written by Peter Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-06 with Mathematics categories.
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.
Foundations Of The Formal Sciences Ii
DOWNLOAD
Author : Benedikt Löwe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Foundations Of The Formal Sciences Ii written by Benedikt Löwe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Philosophy categories.
"Foundations of the Formal Sciences" (FotFS) is a series of interdisciplinary conferences in mathematics, philosophy, computer science and linguistics. The main goal is to reestablish the traditionally strong links between these areas of research that have been lost in the past decades. The second conference in the series had the subtitle "Applications of Mathematical Logic in Philosophy and Linguistics" and brought speakers from all parts of the Formal Sciences together to give a holistic view of how mathematical methods can improve our philosophical and technical understanding of language and scientific discourse, ranging from the theoretical level up to applications in language recognition software. Audience: This volume is of interest to all formal philosophers and theoretical linguists. In addition to that, logicians interested in the applications of their field and logic students in mathematics, computer science, philosophy and linguistics can use the volume to broaden their knowledge of applications of logic.