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Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1966 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Barwise
Publisher : Elsevier
ISBN 13 : 0080933645
Total Pages : 1179 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Mathematical Logic written by J. Barwise and published by Elsevier. This book was released on 1982-03-01 with total page 1179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Author : Matthias Baaz
Publisher : Cambridge University Press
ISBN 13 : 1139498436
Total Pages : 541 pages
Book Rating : 4.1/5 (394 download)
Download or read book Kurt Gödel and the Foundations of Mathematics written by Matthias Baaz and published by Cambridge University Press. This book was released on 2011-06-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
Author : Joseph M. Bochenski
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (5 download)
Download or read book Précis de Logique Mathématique written by Joseph M. Bochenski and published by . This book was released on 1948 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Feys
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.1/5 (162 download)
Download or read book Collection de logique mathématique written by Robert Feys and published by . This book was released on 1965 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. D. Bowne
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112318412
Total Pages : 160 pages
Book Rating : 4.1/5 (123 download)
Download or read book The Philosophy of Logic written by G. D. Bowne and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "The Philosophy of Logic".
Author : J.M. Bochenski
Publisher : Springer Science & Business Media
ISBN 13 : 9401705925
Total Pages : 109 pages
Book Rating : 4.4/5 (17 download)
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.
Author : Robert S. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 9400962339
Total Pages : 475 pages
Book Rating : 4.4/5 (9 download)
Download or read book Hegel and the Sciences written by Robert S. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the scientists and philosophers of our time, Hegel has been either a ne glected or a provocative thinker, a source of irrelevant dark metaphysics or of complex but insightful analysis. His influence upon the work of natural scientists has seemed minimal, in the main; and his stimulus to the nascent sciences of society and to psychology has seemed to be as often an obstacle as an encouragement. Nevertheless his philosophical analysis of knowledge and the knowing process, of concepts and their evolutionary formation, of rationality in its forms and histories, of the stages of empirical awareness and human practice, all set within his endless inquiries into cultural formations from the entire sweep of human experience, must, we believe, be confronted by anyone who wants to understand the scientific consciousness. Indeed, we may wish to situate the changing theories of nature, and of humankind in nature, within a philosophical account of men and women as social practi tioners and as sensing, thinking, feeling centers of privacy; and then we will see the work of Hegel as a major effort to mediate between the purest of epistemological investigations and the most practical of the political and the religious. This book, long delayed to our deep regret, derives from a Symposium on Hegel and the Sciences which was sponsored jointly by the Hegel Society of America and the Boston University Center for Philosophy and History of Science a decade ago.
Author : Mark Amadeus Notturno
Publisher : BRILL
ISBN 13 : 9004451528
Total Pages : 512 pages
Book Rating : 4.0/5 (44 download)
Download or read book Perspectives on Psychologism written by Mark Amadeus Notturno and published by BRILL. This book was released on 2023-03-13 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.W. Addison
Publisher : Elsevier
ISBN 13 : 1483275345
Total Pages : 513 pages
Book Rating : 4.4/5 (832 download)
Download or read book The Theory of Models written by J.W. Addison and published by Elsevier. This book was released on 2014-05-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Author : Stewart Shapiro
Publisher : Oxford University Press
ISBN 13 : 0190287535
Total Pages : 856 pages
Book Rating : 4.1/5 (92 download)
Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by Oxford University Press. This book was released on 2005-02-10 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.
Author : A. Heyting
Publisher : Elsevier
ISBN 13 : 1483278158
Total Pages : 645 pages
Book Rating : 4.4/5 (832 download)
Download or read book Philosophy and Foundations of Mathematics written by A. Heyting and published by Elsevier. This book was released on 2014-05-12 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examines mathematics and experience and mathematics and logic. Topics include denumerably unfinished sets, continuum problem, logic of relations, consistency proofs for formal systems independent of their interpretation, infinite numbers, and problems of space and time. The text is a valuable reference for students, mathematicians, and researchers interested in the contributions of Brouwer in the studies on the philosophy and foundations of mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (43 download)
Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1913 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kurt R. Jankowsky
Publisher : John Benjamins Publishing
ISBN 13 : 9027245657
Total Pages : 401 pages
Book Rating : 4.0/5 (272 download)
Download or read book History of Linguistics, 1993 written by Kurt R. Jankowsky and published by John Benjamins Publishing. This book was released on 1995-01-01 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 32 papers of this volume were selected from 78 papers read at ICHoLS VI, were contributed by linguists from 16 countries of Europe, Asia, and the Americas. They are presented in six sections:1. General Concerns 2. Oriental Linguistics and Related Issues 3. From the Early Middle Ages to the End of the 17th Century 4. On 19th-century European Linguistics 5. On the Verge of Modernity: From the 19th to the 20th Century 6. Contemporary IssuesIndividual topics range from dealing with overriding concerns of linguistic historiography to focusing on specific fields of inquiry within a limited frame and involving a large variety of topical areas. Most of the papers are written in English. The exceptions are one French and two German contributions.
Author : René Cori
Publisher : Oxford University Press, USA
ISBN 13 : 9780198500513
Total Pages : 360 pages
Book Rating : 4.5/5 (5 download)
Download or read book Mathematical Logic written by René Cori and published by Oxford University Press, USA. This book was released on 2000 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course, . It is a major element in theoretical computer sciences and has undergone a huge revival with the growing importance of computer science. This text is based on a course for undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence while still covering a wide area of logic. It starts with recursion theory and follows Godel's incompleteness theorems and axiomatic set theory as well as an introduction to model theory. There are examples throughout each section and a varied selection of exercises at the end with answers given in the appendix
Author : Paola Cantù
Publisher : Springer Nature
ISBN 13 : 3031421906
Total Pages : 333 pages
Book Rating : 4.0/5 (314 download)
Download or read book Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle written by Paola Cantù and published by Springer Nature. This book was released on 2024-01-23 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
Author : Jean Christianidis
Publisher : Springer Science & Business Media
ISBN 13 : 1402026404
Total Pages : 464 pages
Book Rating : 4.4/5 (2 download)
Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
