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Author : Martin H. Löb
Publisher : Springer
Page : 331 pages
File Size : 55,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540358862
Author : M. H. Löb
Publisher : Unknown
Page : 0 pages
File Size : 42,7 Mb
Release : 1968
Category : Logic, Symbolic and mathematical
ISBN : LCCN:lc68056951
Author : Martin H. Lob
Publisher : Unknown
Page : 340 pages
File Size : 42,6 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662194295
Author : A. R. D. Mathias,H. Rogers
Publisher : Springer
Page : 673 pages
File Size : 51,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540368847
Author : J. Barwise,S. Feferman,Solomon Feferman
Publisher : Cambridge University Press
Page : 912 pages
File Size : 43,7 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107168251
This book brings together several directions of work in model theory between the late 1950s and early 1980s.
Author : E. Agazzi
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400990562
Logic has attained in our century a development incomparably greater than in any past age of its long history, and this has led to such an enrichment and proliferation of its aspects, that the problem of some kind of unified recom prehension of this discipline seems nowadays unavoidable. This splitting into several subdomains is the natural consequence of the fact that Logic has intended to adopt in our century the status of a science. This always implies that the general optics, under which a certain set of problems used to be con sidered, breaks into a lot of specialized sectors of inquiry, each of them being characterized by the introduction of specific viewpoints and of technical tools of its own. The first impression, that often accompanies the creation of one of such specialized branches in a diSCipline, is that one has succeeded in isolating the 'scientific core' of it, by restricting the somehow vague and redundant generality of its original 'philosophical' configuration. But, after a while, it appears that some of the discarded aspects are indeed important and a new specialized domain of investigation is created to explore them. By follOwing this procedure, one finally finds himself confronted with such a variety of independent fields of research, that one wonders whether the fact of labelling them under a common denomination be nothing but the contingent effect of a pure historical tradition.
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
Page : 653 pages
File Size : 48,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662090589
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.
Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 207 pages
File Size : 42,7 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080954758
Provability, Computability and Reflection
Author : Leon Henkin
Publisher : American Mathematical Soc.
Page : 522 pages
File Size : 45,5 Mb
Release : 1974
Category : Mathematics
ISBN : 9780821814253
Author : John Lane Bell,A. B. Slomson
Publisher : Courier Corporation
Page : 338 pages
File Size : 40,9 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9780486449791
In this text for first-year graduate students, the authors provide an elementary exposition of some of the basic concepts of model theory--focusing particularly on the ultraproduct construction and the areas in which it is most useful. The book, which assumes only that its readers are acquainted with the rudiments of set theory, starts by developing the notions of Boolean algebra, propositional calculus, and predicate calculus. Model theory proper begins in the fourth chapter, followed by an introduction to ultraproduct construction, which includes a detailed look at its theoretic properties. An overview of elementary equivalence provides algebraic descriptions of the elementary classes. Discussions of completeness follow, along with surveys of the work of Jónsson and of Morley and Vaught on homogeneous universal models, and the results of Keisler in connection with the notion of a saturated structure. Additional topics include classical results of Gödel and Skolem, and extensions of classical first-order logic in terms of generalized quantifiers and infinitary languages. Numerous exercises appear throughout the text.
Author : Gerhard Jäger,Wilfried Sieg
Publisher : Springer
Page : 551 pages
File Size : 45,6 Mb
Release : 2018-04-04
Category : Mathematics
ISBN : 9783319633343
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Author : S.R. Buss
Publisher : Elsevier
Page : 823 pages
File Size : 50,9 Mb
Release : 1998-07-09
Category : Mathematics
ISBN : 9780080533186
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth. The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Author : Maria Manzano
Publisher : Cambridge University Press
Page : 414 pages
File Size : 53,5 Mb
Release : 1996-03-29
Category : Computers
ISBN : 0521354358
An introduction to many-sorted logic as an extension of first-order logic.
Author : Jan Mycielski,Grzegorz Rozenberg,Arto Salomaa
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 45,5 Mb
Release : 1997-07-23
Category : Computers
ISBN : 3540632468
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 : Matthias Baaz,Sy-David Friedman,Jan Krajíček
Publisher : Cambridge University Press
Page : 128 pages
File Size : 51,7 Mb
Release : 2017-03-30
Category : Mathematics
ISBN : 9781108695442
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 twentieth publication in the Lecture Notes in Logic series, contains the proceedings of the 2001 European Summer Meeting of the Association for Symbolic Logic, held at the Vienna University of Technology. Two long articles present accessible expositions on resolution theorem proving and the determinacy of long games. The remaining articles cover separate research topics in many areas of mathematical logic, including applications in computer science, proof theory, set theory, model theory, computability theory, linguistics and aspects of philosophy. This collection will interest not only mathematical logicians but also philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians working in algebra, abstract analysis and topology.