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Author : Maaret Karttunen
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (318 download)
Download or read book Model Theory for Infinitely Deep Languages written by Maaret Karttunen and published by . This book was released on 1984 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heikki Heikkilä
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (318 download)
Download or read book Definability and Infinitely Deep Languages written by Heikki Heikkilä and published by . This book was released on 1993 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kirsi Peltonen
Publisher :
ISBN 13 : 9789514106828
Total Pages : 52 pages
Book Rating : 4.1/5 (68 download)
Download or read book On the Existence of Quasiregular Mappings written by Kirsi Peltonen and published by . This book was released on 1992 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M Droste
Publisher : CRC Press
ISBN 13 : 1000725278
Total Pages : 516 pages
Book Rating : 4.0/5 (7 download)
Download or read book Advances in Algebra and Model Theory written by M Droste and published by CRC Press. This book was released on 2019-08-16 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author : Jaakko Hintikka
Publisher : Springer Science & Business Media
ISBN 13 : 9789027716873
Total Pages : 366 pages
Book Rating : 4.7/5 (168 download)
Download or read book The Game of Language written by Jaakko Hintikka and published by Springer Science & Business Media. This book was released on 1983-10-31 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first chapter of this book presents an intro duction to the present state of game-theoretical semantics (GTS), there is no point in giving a briefer survey here. Instead, it may be helpful to indicate what this volume attempts to do. The first chapter gives a short intro duction to GTS and a survey of what is has accomplished. Chapter 2 puts the enterprise of GTS into new philo sophical perspective by relating its basic ideas to Kant's phi losophy of mathematics, space, and time. Chapters 3-6 are samples of GTS's accomplishments in understanding different kinds of semantical phenomena, mostly in natural languages. Beyond presenting results, some of these chapters also have other aims. Chapter 3 relates GTS to an interesting line of logical and foundational studies - the so-called functional interpretations - while chapter 4 leads to certain important methodological theses. Chapter 7 marks an application of GTS in a more philo sophical direction by criticizing the Frege-Russell thesis that words like "is" are multiply ambiguous. This leads in turn to a criticism of recent logical languages (logical notation), which since Frege have been based on the ambi guity thesis, and also to certain methodological sug gestions. In chapter 8, GTS is shown to have important implications for our understanding of Aristotle's doctrine of categories, while chapter 9 continues my earlier criticism of Chomsky's generative approach to linguistic theorizing.
Author : Cyrus F. Nourani
Publisher : CRC Press
ISBN 13 : 1771882484
Total Pages : 304 pages
Book Rating : 4.7/5 (718 download)
Download or read book Algebraic Computability and Enumeration Models written by Cyrus F. Nourani and published by CRC Press. This book was released on 2016-02-24 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples
Author : Michal Krynicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401705224
Total Pages : 430 pages
Book Rating : 4.4/5 (17 download)
Download or read book Quantifiers: Logics, Models and Computation written by Michal Krynicki and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantifiers: Logics, Models and Computation is the first concentrated effort to give a systematic presentation of the main research results on the subject, since the modern concept was formulated in the late '50s and early '60s. The majority of the papers are in the nature of a handbook. All of them are self-contained, at various levels of difficulty. The Introduction surveys the main ideas and problems encountered in the logical investigation of quantifiers. The Prologue, written by Per Lindström, presents the early history of the concept of generalised quantifiers. The volume then continues with a series of papers surveying various research areas, particularly those that are of current interest. Together they provide introductions to the subject from the points of view of mathematics, linguistics, and theoretical computer science. The present volume has been prepared in parallel with Quantifiers: Logics, Models and Computation, Volume Two. Contributions, which contains a collection of research papers on the subject in areas that are too fresh to be summarised. The two volumes are complementary. For logicians, mathematicians, philosophers, linguists and computer scientists. Suitable as a text for advanced undergraduate and graduate specialised courses in logic.
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3662090589
Total Pages : 653 pages
Book Rating : 4.6/5 (62 download)
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.
Author : R. Bogdan
Publisher : Springer Science & Business Media
ISBN 13 : 9400937636
Total Pages : 389 pages
Book Rating : 4.4/5 (9 download)
Download or read book Jaakko Hintikka written by R. Bogdan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this series is to inform both professional philosophers and a larger readership (of social and natural scientists, methodologists, mathematicians, students, teachers, publishers, etc. ) about what is going on, who's who, and who does what in contemporary philosophy and logic. PROFILES is designed to present the research activity and the results of already outstanding personalities and schools and of newly emerging ones in the various fields of philosophy and logic. There are many Festschrift volumes dedicated to various philosophers. There is the celebrated Library of Living Philosophers edited by P. A. Schilpp whose format influenced the present enterprise. Still they can only cover very little of the contemporary philosophical scene. Faced with a tremendous expansion of philosophical information and with an almost frightening division of labor and increasing specialization we need systematic and regular ways of keeping track of what happens in the profession. PROFILES is intended to perform such a function. Each volume is devoted to one or several philosophers whose views and results are presented and discussed. The profiled philosopher(s) will summarize and review his (their) own work in the main fields of significant contribution. This work will be discussed and evaluated by invited contributors. Relevant his to rial and/or biographical data, an up-to-date bibliography with short abstracts of the most important works and, whenever possible, references to significant reviews and discussion will also be included.
Author : Sy-David Friedman
Publisher : American Mathematical Soc.
ISBN 13 : 0821894757
Total Pages : 92 pages
Book Rating : 4.8/5 (218 download)
Download or read book Generalized Descriptive Set Theory and Classification Theory written by Sy-David Friedman and published by American Mathematical Soc.. This book was released on 2014-06-05 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper the authors study the generalization where countable is replaced by uncountable. They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
Author : Johan F.A.K. van Benthem
Publisher : Elsevier
ISBN 13 : 0444537279
Total Pages : 1169 pages
Book Rating : 4.4/5 (445 download)
Download or read book Handbook of Logic and Language written by Johan F.A.K. van Benthem and published by Elsevier. This book was released on 2010-12-17 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories
Author : I. Niiniluoto
Publisher : Springer Science & Business Media
ISBN 13 : 9400937393
Total Pages : 542 pages
Book Rating : 4.4/5 (9 download)
Download or read book Truthlikeness written by I. Niiniluoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern discussion on the concept of truthlikeness was started in 1960. In his influential Word and Object, W. V. O. Quine argued that Charles Peirce's definition of truth as the limit of inquiry is faulty for the reason that the notion 'nearer than' is only "defined for numbers and not for theories". In his contribution to the 1960 International Congress for Logic, Methodology, and Philosophy of Science at Stan ford, Karl Popper defended the opposite view by defining a compara tive notion of verisimilitude for theories. was originally introduced by the The concept of verisimilitude Ancient sceptics to moderate their radical thesis of the inaccessibility of truth. But soon verisimilitudo, indicating likeness to the truth, was confused with probabilitas, which expresses an opiniotative attitude weaker than full certainty. The idea of truthlikeness fell in disrepute also as a result of the careless, often confused and metaphysically loaded way in which many philosophers used - and still use - such concepts as 'degree of truth', 'approximate truth', 'partial truth', and 'approach to the truth'. Popper's great achievement was his insight that the criticism against truthlikeness - by those who urge that it is meaningless to speak about 'closeness to truth' - is more based on prejudice than argument.
Author : Xavier Caicedo
Publisher : CRC Press
ISBN 13 : 9780824719708
Total Pages : 474 pages
Book Rating : 4.7/5 (197 download)
Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 1998-11-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts worldwide."
Author : Jaakko Hintikka
Publisher : Springer Science & Business Media
ISBN 13 : 9401586012
Total Pages : 290 pages
Book Rating : 4.4/5 (15 download)
Download or read book Lingua Universalis vs. Calculus Ratiocinator: written by Jaakko Hintikka and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. G. Collingwood saw one of the main tasks of philosophers and of historians of human thought in uncovering what he called the ultimate presuppositions of different thinkers, of different philosophical movements and of entire eras of intellectual history. He also noted that such ultimate presuppositions usually remain tacit at first, and are discovered only by subsequent reflection. Collingwood would have been delighted by the contrast that constitutes the overall theme of the essays collected in this volume. Not only has this dichotomy ofviews been one ofthe mostcrucial watersheds in the entire twentieth-century philosophical thought. Not only has it remained largely implicit in the writings of the philosophers for whom it mattered most. It is a truly Collingwoodian presupposition also in that it is not apremise assumed by different thinkers in their argumentation. It is the presupposition of a question, an assumption to the effect that a certain general question can be raised and answered. Its role is not belied by the fact that several philosophers who answered it one way or the other seem to be largely unaware that the other answer also makes sense - if it does. This Collingwoodian question can be formulated in a first rough approximation by asking whether language - our actual working language, Tarski's "colloquiallanguage" - is universal in the sense of being inescapable. This formulation needs all sorts of explanations, however.
Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1985 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shaughan Lavine
Publisher : Harvard University Press
ISBN 13 : 0674265335
Total Pages : 262 pages
Book Rating : 4.6/5 (742 download)
Download or read book Understanding the Infinite written by Shaughan Lavine and published by Harvard University Press. This book was released on 2009-06-30 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice
Author : Åsa Hirvonen
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1614519323
Total Pages : 438 pages
Book Rating : 4.6/5 (145 download)
Download or read book Logic Without Borders written by Åsa Hirvonen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-03-10 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.
