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A Precis Of Mathematical Logic Tr
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Book Synopsis A Precis of Mathematical Logic by : J.M. Bochenski
Download or read book A Precis of Mathematical Logic written by J.M. Bochenski and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.
Book Synopsis The Primary Logic by : Michele Malatesta
Download or read book The Primary Logic written by Michele Malatesta and published by Gracewing Publishing. This book was released on 1997 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Mathematical Logic by : Elliot Mendelsohn
Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.
Author :Heinz-Dieter Ebbinghaus Publisher :Springer Science & Business Media ISBN 13 :3662090589 Total Pages :653 pages Book Rating :4.6/5 (62 download)
Book Synopsis Ω-Bibliography of Mathematical Logic by : Heinz-Dieter Ebbinghaus
Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Download or read book Metalogicon written by and published by . This book was released on 1997 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course in Mathematical Logic for Mathematicians by : Yu. I. Manin
Download or read book A Course in Mathematical Logic for Mathematicians written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.
Download or read book A Precis of Mathematical Logic written by and published by . This book was released on 1959 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Theory of Discourse; the Aims of Discourse by : James L. Kinneavy
Download or read book A Theory of Discourse; the Aims of Discourse written by James L. Kinneavy and published by Prentice Hall. This book was released on 1971 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Mathematical Logic by : Paul C. Rosenbloom
Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by . This book was released on 1950 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.
Author :Library of Congress. Copyright Office Publisher :Copyright Office, Library of Congress ISBN 13 : Total Pages :896 pages Book Rating :4.F/5 ( download)
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1960 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Part 1, Number 2: Books and Pamphlets, Including Serials and Contributions to Periodicals (July - December)
Book Synopsis A Concise Introduction to Mathematical Logic by : Wolfgang Rautenberg
Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Download or read book Library Journal written by and published by . This book was released on 1962 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis How to Prove It by : Daniel J. Velleman
Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Author :James A. Driscoll Publisher :Peter Lang Incorporated, International Academic Publishers ISBN 13 : Total Pages :1232 pages Book Rating :4.F/5 ( download)
Book Synopsis A Dominican Bibliography and Book of Reference, 1216-1992 by : James A. Driscoll
Download or read book A Dominican Bibliography and Book of Reference, 1216-1992 written by James A. Driscoll and published by Peter Lang Incorporated, International Academic Publishers. This book was released on 2000 with total page 1232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This bibliographic listing of works in English by and about members of the Order of Friars Preachers actually begins with a translation of the confirmation of the Dominican Order by Pope Honorius III on December 22, 1216. Works and lives of great Dominicans such as Saints Dominic, Catherine of Siena, Thomas Aquinas, Albert the Great, Pope Pius V, and Martin de Porres are listed. Prominent personages such as Fra Angelico, Savonarola, Bartolommeo de las Casas, Samuel Mazzuchelli, Dominic Pire (Nobel Prize recipient), and M. J. La Grange (founder of the Ecole Biblique) also appear in this work. The Dominicans founded colleges and universities around the globe, and their scholarly, historical, and artistic works have illumined the world for almost eight hundred years. This bibliography is an invaluable resource for scholars and researchers covering a wide range of topics.
Book Synopsis A History of Algorithms by : Jean-Luc Chabert
Download or read book A History of Algorithms written by Jean-Luc Chabert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.
Book Synopsis Ω-Bibliography of Mathematical Logic by : Wolfgang Rautenberg
Download or read book Ω-Bibliography of Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 1987-06-16 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Muller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg II. Non-classical Logics W. Rautenberg III. Model Theory H. -D. Ebbinghaus IV. Recursion Theory P. G. Hinman V. Set Theory A. R. Blass VI. Proof Theory; Constructive Mathematics J. E. Kister; D. van Dalen & A. S. Troelstra.
Book Synopsis AFOSR Technical Report Summaries by :
Download or read book AFOSR Technical Report Summaries written by and published by . This book was released on 1984 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
