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Author : John Elliott Doner
Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.:/5 (29 download)
Download or read book An Extended Arithmetic of Ordinal Numbers and Its Metamathematics written by John Elliott Doner and published by . This book was released on 1969 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Pelczar
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (115 download)
Download or read book Definability in the Extended Arithmetic of Ordinal Numbers written by A. Pelczar and published by . This book was released on 1972 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Doner
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.F/5 ( download)
Download or read book Definability in the Extended Arithmetic of Ordinal Numbers written by John Doner and published by . This book was released on 1972 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Doner
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (254 download)
Download or read book An Extended Arithmetic of Ordinal Numbers written by John Doner and published by . This book was released on 1967 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1202 pages
Book Rating : 4.U/5 (183 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Hodges
Publisher : Springer
ISBN 13 : 3540371621
Total Pages : 363 pages
Book Rating : 4.5/5 (43 download)
Download or read book Conference in Mathematical Logic - London '70 written by W. Hodges and published by Springer. This book was released on 2006-11-15 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anita Burdman Feferman
Publisher : Cambridge University Press
ISBN 13 : 9780521802406
Total Pages : 442 pages
Book Rating : 4.8/5 (24 download)
Download or read book Alfred Tarski written by Anita Burdman Feferman and published by Cambridge University Press. This book was released on 2004-10-04 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Jan Mycielski
Publisher : Springer Science & Business Media
ISBN 13 : 9783540632467
Total Pages : 388 pages
Book Rating : 4.6/5 (324 download)
Download or read book Structures in Logic and Computer Science written by Jan Mycielski and published by Springer Science & Business Media. This book was released on 1997-07-23 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book summarises contemporary knowledge about the theory of atomic and molecular clusters. New results are discussed on a high theoretical level. Access to this field of research is given by an explanation of the various subjects in introductory chapters.
Author : Leon Henkin
Publisher : American Mathematical Soc.
ISBN 13 : 0821814257
Total Pages : 522 pages
Book Rating : 4.8/5 (218 download)
Download or read book Proceedings written by Leon Henkin and published by American Mathematical Soc.. This book was released on 1974 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Petr Hajek
Publisher : Springer
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.3/5 (91 download)
Download or read book Metamathematics of First-Order Arithmetic written by Petr Hajek and published by Springer. This book was released on 1993-02-04 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: People have always been interested in numbers, in particular the natural numbers. Of course, we all have an intuitive notion of what these numbers are. In the late 19th century mathematicians, such as Grassmann, Frege and Dedekind, gave definitions for these familiar objects. Since then the development of axiomatic schemes for arithmetic have played a fundamental role in a logical understanding of mathematics. There has been a need for some time for a monograph on the metamathematics of first-order arithmetic. The aim of the book by Hajek and Pudlak is to cover some of the most important results in the study of a first order theory of the natural numbers, called Peano arithmetic and its fragments (subtheories). The field is quite active, but only a small part of the results has been covered in monographs. This book is divided into three parts. In Part A, the authors develop parts of mathematics and logic in various fragments. Part B is devoted to incompleteness. Part C studies systems that have the induction schema restricted to bounded formulas (Bounded Arithmetic). One highlight of this section is the relation of provability to computational complexity. The study of formal systems for arithmetic is a prerequisite for understanding results such as Gödel's theorems. This book is intended for those who want to learn more about such systems and who want to follow current research in the field. The book contains a bibliography of approximately 1000 items.
Author : Petr Hájek
Publisher : Cambridge University Press
ISBN 13 : 1316739457
Total Pages : 476 pages
Book Rating : 4.3/5 (167 download)
Download or read book Metamathematics of First-Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
Author :
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (51 download)
Download or read book Proceedings of Symposia in Pure Mathematics written by and published by . This book was released on 1974 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Tarski
Publisher : Hackett Publishing
ISBN 13 : 9780915144761
Total Pages : 542 pages
Book Rating : 4.1/5 (447 download)
Download or read book Logic, Semantics, Metamathematics written by Alfred Tarski and published by Hackett Publishing. This book was released on 1983-01-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norman Megill
Publisher : Lulu.com
ISBN 13 : 0359702236
Total Pages : 250 pages
Book Rating : 4.3/5 (597 download)
Download or read book Metamath: A Computer Language for Mathematical Proofs written by Norman Megill and published by Lulu.com. This book was released on 2019-06-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.
Author : J. Webb
Publisher : Springer Science & Business Media
ISBN 13 : 940157653X
Total Pages : 296 pages
Book Rating : 4.4/5 (15 download)
Download or read book Mechanism, Mentalism and Metamathematics written by J. Webb and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a graduate student paper [261] in which I set down some criticisms of J. R. Lucas' attempt to refute mechanism by means of G6del's theorem. I had made several such abortive attempts myself and had become familiar with their pitfalls, and especially with the double edged nature of incompleteness arguments. My original idea was to model the refutation of mechanism on the almost universally accepted G6delian refutation of Hilbert's formalism, but I kept getting stuck on questions of mathematical philosophy which I found myself having to beg. A thorough study of the foundational works of Hilbert and Bernays finally convinced me that I had all too naively and uncritically bought this refutation of formalism. I did indeed discover points of surprisingly close contact between formalism and mechanism, but also that it was possible to under mine certain strong arguments against these positions precisely by invok ing G6del's and related work. I also began to realize that the Church Turing thesis itself is the principal bastion protecting mechanism, and that G6del's work was perhaps the best thing that ever happened to both mechanism and formalism. I pushed these lines of argument in my dis sertation with the patient help of my readers, Raymond Nelson and Howard Stein. I would especially like to thank the latter for many valuable criticisms of my dissertation as well as some helpful suggestions for reor ganizing it in the direction of the present book.
Author : Jan von Plato
Publisher : Springer
ISBN 13 : 3319421204
Total Pages : 321 pages
Book Rating : 4.3/5 (194 download)
Download or read book Saved from the Cellar written by Jan von Plato and published by Springer. This book was released on 2017-03-31 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another noteworthy achievement is his resolution of the embarrassing situation created by Gödel's incompleteness results, especially the second one about the unprovability of consistency of elementary arithmetic. After these successes, Gentzen dedicated the rest of his short life to the main problem of Hilbert's proof theory, the question of the consistency of analysis. He was arrested in the summer of 1945 with other professors of the German University of Prague and died soon afterward of starvation in a prison cell. Attempts at locating his lost manuscripts failed at the time, but several decades later, two slim folders of shorthand notes were found. In this volume, Jan von Plato gives an overview of Gentzen's life and scientific achievements, based on detailed archival and systematic studies, and essential for placing the translations of shorthand manuscripts that follow in the right setting. The materials in this book are singular in the way they show the birth and development of Gentzen's central ideas and results, sometimes in a well-developed form, and other times as flashes into the anatomy of the workings of a unique mind.
Author :
Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (2 download)
Download or read book The National union catalog, 1968-1972 written by and published by . This book was released on 1973 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
