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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 : 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 : 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 : 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 : 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.
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 : 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 : Fulvia Furinghetti
Publisher : Springer Nature
ISBN 13 : 3031043138
Total Pages : 754 pages
Book Rating : 4.0/5 (31 download)
Download or read book The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education written by Fulvia Furinghetti and published by Springer Nature. This book was released on 2023-01-30 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications concerning the teaching of mathematics · Images: photos, book frontispieces, relevant manuscripts The authors of the portraits (30 altogether) are researchers in the history of mathematics, mathematics, and mathematics education. The focus on the officer’s role within ICMI and on his/her contributions to mathematics education, make the portraits different from usual biographies. In particular, since most officers were active mathematicians, the portraits shed light on aspects of their lesser-known activity. Connecting chapters place the action of these figures in the historical context and in the different phases of ICMI history.
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 : Manuel Rebuschi
Publisher : Springer
ISBN 13 : 3319030442
Total Pages : 371 pages
Book Rating : 4.3/5 (19 download)
Download or read book Interdisciplinary Works in Logic, Epistemology, Psychology and Linguistics written by Manuel Rebuschi and published by Springer. This book was released on 2014-06-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comparisons of recent accounts in the formalization of natural language (dynamic logics and formal semantics) with informal conceptions of interaction (dialogue, natural logic and attribution of rationality) that have been developed in both psychology and epistemology. There are four parts which explore: historical and systematic studies; the formalization of context in epistemology; the formalization of reasoning in interactive contexts in psychology; the formalization of pathological conversations. Part one discusses the Erlangen School, which proposed a logical analysis of science as well as an operational reconstruction of psychological concepts. These first chapters provide epistemological and psychological insights into a conceptual reassessment of rational reconstruction from a pragmatic point of view. The second focus is on formal epistemology, where there has recently been a vigorous contribution from experts in epistemic and doxatic logics and an attempt to account for a more realistic, cognitively plausible conception of knowledge. The third part of this book examines the meeting point between logic and the human and social sciences and the fourth part focuses on research at the intersection between linguistics and psychology. Internationally renowned scholars have contributed to this volume, building on the findings and themes relevant to an interdisciplinary scientific project called DiaRaFor (“Dialogue, Rationality, Formalisms”) which was hosted by the MSH Lorraine (Lorraine Institute for Social Sciences and Humanities) from 2007 to 2011.
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 : Alan Nelson
Publisher : John Wiley & Sons
ISBN 13 : 1118394208
Total Pages : 716 pages
Book Rating : 4.1/5 (183 download)
Download or read book A Companion to Rationalism written by Alan Nelson and published by John Wiley & Sons. This book was released on 2012-10-01 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a wide-ranging examination of rationalist thought in philosophy from ancient times to the present day. Written by a superbly qualified cast of philosophers Critically analyses the concept of rationalism Focuses principally on the golden age of rationalism in the seventeenth and early eighteenth centuries Also covers ancient rationalism, nineteenth-century rationalism, and rationalist themes in recent thought Organised chronologically Various philosophical methods and viewpoints are represented
Author : E.W. Beth
Publisher : Springer Science & Business Media
ISBN 13 : 9401722072
Total Pages : 220 pages
Book Rating : 4.4/5 (17 download)
Download or read book Mathematical Thought written by E.W. Beth and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.
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 : Yvon Gauthier
Publisher : Birkhäuser
ISBN 13 : 331922087X
Total Pages : 193 pages
Book Rating : 4.3/5 (192 download)
Download or read book Towards an Arithmetical Logic written by Yvon Gauthier and published by Birkhäuser. This book was released on 2015-09-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of logic and mathematics.
Author : Emily Grosholz
Publisher : Springer Science & Business Media
ISBN 13 : 9401595585
Total Pages : 456 pages
Book Rating : 4.4/5 (15 download)
Download or read book The Growth of Mathematical Knowledge written by Emily Grosholz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics.
Author : Gila Hanna
Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)
Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
