Verhandlungen des dritten Internationalen mathematikerkongresses in Heidelberg

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ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Verhandlungen des dritten Internationalen mathematikerkongresses in Heidelberg by : Adolf Krazer

Download or read book Verhandlungen des dritten Internationalen mathematikerkongresses in Heidelberg written by Adolf Krazer and published by . This book was released on 1905 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Philosophy of Logic

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Publisher : Elsevier
ISBN 13 : 008046663X
Total Pages : 1219 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Philosophy of Logic by :

Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter

Verhandlungen des dritten Internationalen Mathematiker-Kongresses

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ISBN 13 :
Total Pages : 755 pages
Book Rating : 4.:/5 (631 download)

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Book Synopsis Verhandlungen des dritten Internationalen Mathematiker-Kongresses by : Adolf Krazer

Download or read book Verhandlungen des dritten Internationalen Mathematiker-Kongresses written by Adolf Krazer and published by . This book was released on 1967 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Routledge Handbook of Phenomenology and Phenomenological Philosophy

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Publisher : Routledge
ISBN 13 : 100017042X
Total Pages : 841 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis The Routledge Handbook of Phenomenology and Phenomenological Philosophy by : Daniele De Santis

Download or read book The Routledge Handbook of Phenomenology and Phenomenological Philosophy written by Daniele De Santis and published by Routledge. This book was released on 2020-08-24 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phenomenology was one of the twentieth century’s major philosophical movements, and it continues to be a vibrant and widely studied subject today with relevance beyond philosophy in areas such as medicine and cognitive sciences. The Routledge Handbook of Phenomenology and Phenomenological Philosophy is an outstanding guide to this important and fascinating topic. Its focus on phenomenology’s historical and systematic dimensions makes it a unique and valuable reference source. Moreover, its innovative approach includes entries that don’t simply reflect the state-of-the-art but in many cases advance it. Comprising seventy-five chapters by a team of international contributors, the Handbook offers unparalleled coverage and discussion of the subject, and is divided into five clear parts: • Phenomenology and the history of philosophy • Issues and concepts in phenomenology • Major figures in phenomenology • Intersections • Phenomenology in the world. Essential reading for students and researchers in philosophy studying phenomenology, The Routledge Handbook of Phenomenology and Phenomenological Philosophy is also suitable for those in related disciplines such as psychology, religion, literature, sociology and anthropology.

A History of Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826239
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A History of Analysis by : Hans Niels Jahnke

Download or read book A History of Analysis written by Hans Niels Jahnke and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

Godel's Theorem in Focus

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Publisher : Taylor & Francis
ISBN 13 : 1134947984
Total Pages : 271 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Godel's Theorem in Focus by : S.G. Shanker

Download or read book Godel's Theorem in Focus written by S.G. Shanker and published by Taylor & Francis. This book was released on 2012-08-21 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.

Foundations without Foundationalism

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Publisher : Clarendon Press
ISBN 13 : 0191524018
Total Pages : 302 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Foundations without Foundationalism by : Stewart Shapiro

Download or read book Foundations without Foundationalism written by Stewart Shapiro and published by Clarendon Press. This book was released on 1991-09-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.

From Frege to Gödel

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Publisher : Harvard University Press
ISBN 13 : 0674257243
Total Pages : 684 pages
Book Rating : 4.6/5 (742 download)

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Book Synopsis From Frege to Gödel by : Jean van Heijenoort

Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 2002-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege’s Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege’s book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim’s theorem, and he and Fraenkel amend Zermelo’s axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter’s famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.

A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics

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Publisher : Birkhäuser
ISBN 13 : 3319120301
Total Pages : 427 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics by : David E. Rowe

Download or read book A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics written by David E. Rowe and published by Birkhäuser. This book was released on 2015-05-12 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.

The Genesis of General Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 1402040008
Total Pages : 2072 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Genesis of General Relativity by : Jürgen Renn

Download or read book The Genesis of General Relativity written by Jürgen Renn and published by Springer Science & Business Media. This book was released on 2007-06-17 with total page 2072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume work represents the most comprehensive documentation and study of the creation of general relativity. Einstein’s 1912 Zurich notebook is published for the first time in facsimile and transcript and commented on by today’s major historians of science. Additional sources from Einstein and others, who from the late 19th to the early 20th century contributed to this monumental development, are presented here in translation for the first time. The volumes offer detailed commentaries and analyses of these sources that are based on a close reading of these documents supplemented by interpretations by the leading historians of relativity.

In the Light of Logic

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Publisher : Oxford University Press
ISBN 13 : 0195359836
Total Pages : 353 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis In the Light of Logic by : Solomon Feferman

Download or read book In the Light of Logic written by Solomon Feferman and published by Oxford University Press. This book was released on 1998-11-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.

Routledge Encyclopedia of Philosophy

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Publisher :
ISBN 13 : 9780415187107
Total Pages : 890 pages
Book Rating : 4.1/5 (871 download)

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Book Synopsis Routledge Encyclopedia of Philosophy by : Edward Craig

Download or read book Routledge Encyclopedia of Philosophy written by Edward Craig and published by . This book was released on 1998 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume five of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.

Philosophy's Loss of Logic to Mathematics

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Publisher : Springer
ISBN 13 : 3319951475
Total Pages : 233 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Philosophy's Loss of Logic to Mathematics by : Woosuk Park

Download or read book Philosophy's Loss of Logic to Mathematics written by Woosuk Park and published by Springer. This book was released on 2018-07-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.

Logic and Philosophy of Science in Uppsala

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Publisher : Springer Science & Business Media
ISBN 13 : 9401583110
Total Pages : 611 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Logic and Philosophy of Science in Uppsala by : D. Prawitz

Download or read book Logic and Philosophy of Science in Uppsala written by D. Prawitz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Congresses of Logic, Methodology and Philosophy of Science, which are held every fourth year, give a cross-section of ongoing research in logic and philosophy of science. Both the invited lectures and the many contributed papers are conductive to this end. At the 9th Congress held in Uppsala in 1991 there were 54 invited lectures and around 650 contributed papers divided into 15 different sections. Some of the speakers who presented contributed papers that attracted special interest were invited to submit their papers for publication, and the result is the present volume. A few papers appear here more or less as they were presented at the Congress whereas others are expansions or elaborations of the talks given at the Congress. A selection of this kind, containing 38 papers drawn from the 650 contributed papers presented at the Uppsala Congress, cannot do justice to all facets of the field as it appeared at the Congress. But it should allow the reader to get a representative survey of contemporary research in large areas of philosophical logic and philosophy of science. About half of the papers of the volume appear in sections listed at the Congress under the heading Philosophical and Foundational Problems about the Sciences. The section Foundations of Logic, Mathematics and Computer Science is represented by three papers, Foundations of Physical Sciences by six papers, Foundations of Biological Sciences by three papers, Foundations of Cognitive Science and AI by one paper, and Foundations of Linguistics by three papers.

Foundations of Set Theory

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Publisher : Elsevier
ISBN 13 : 0080887058
Total Pages : 415 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Foundations of Set Theory by : A.A. Fraenkel

Download or read book Foundations of Set Theory written by A.A. Fraenkel and published by Elsevier. This book was released on 1973-12-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.

Mathematics across the Iron Curtain

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Publisher : American Mathematical Society
ISBN 13 : 1470414937
Total Pages : 457 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics across the Iron Curtain by : Christopher Hollings

Download or read book Mathematics across the Iron Curtain written by Christopher Hollings and published by American Mathematical Society. This book was released on 2014-07-16 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.

Verhandlungen des dritten internationalen Mathematiker-Kongresses in Heidelberg ... 1904

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Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.:/5 (691 download)

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Book Synopsis Verhandlungen des dritten internationalen Mathematiker-Kongresses in Heidelberg ... 1904 by :

Download or read book Verhandlungen des dritten internationalen Mathematiker-Kongresses in Heidelberg ... 1904 written by and published by . This book was released on 1905 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: