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Author :
Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.:/5 (321 download)
Download or read book Mathematica Scandinavica written by and published by . This book was released on 2003 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerhard Jäger
Publisher : Springer
ISBN 13 : 3319633341
Total Pages : 617 pages
Book Rating : 4.3/5 (196 download)
Download or read book Feferman on Foundations written by Gerhard Jäger and published by Springer. This book was released on 2018-04-04 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.E/5 ( download)
Download or read book Publications Resulting from National Science Foundation Research Grants Through Fiscal Year Ending June 30, 1956 written by National Science Foundation (U.S.) and published by . This book was released on 1957 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (121 download)
Download or read book Annual report of the National Science Foundation written by National Science Foundation (U.S.) and published by . This book was released on 1951 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. D. Hart
Publisher : Cambridge University Press
ISBN 13 : 1139491202
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book The Evolution of Logic written by W. D. Hart and published by Cambridge University Press. This book was released on 2010-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.
Author : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (3 download)
Download or read book Annual Report for Fiscal Year ... written by National Science Foundation (U.S.) and published by . This book was released on 1958 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Ackerman
Publisher : Routledge
ISBN 13 : 1135997373
Total Pages : 418 pages
Book Rating : 4.1/5 (359 download)
Download or read book The Flawed Foundations of General Equilibrium Theory written by Frank Ackerman and published by Routledge. This book was released on 2004-06-24 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, as the title suggests, explains how General equilibrium, the dominant conceptual framework in mainstream economics, describes a perfectly impossible world. Even with its counterfactual assumptions taken for granted, it fails on many levels. Under the impressive editorship of Ackerman and Nadal, this book will appeal to students and resea
Author :
Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthias Baaz
Publisher : Cambridge University Press
ISBN 13 : 1108695442
Total Pages : 496 pages
Book Rating : 4.1/5 (86 download)
Download or read book Logic Colloquium '01 written by Matthias Baaz and published by Cambridge University Press. This book was released on 2017-03-30 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Hajnal Andréka
Publisher : Springer Science & Business Media
ISBN 13 : 3642350259
Total Pages : 457 pages
Book Rating : 4.6/5 (423 download)
Download or read book Cylindric-like Algebras and Algebraic Logic written by Hajnal Andréka and published by Springer Science & Business Media. This book was released on 2014-01-27 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.
Author : B. Jack Copeland
Publisher : MIT Press
ISBN 13 : 0262527480
Total Pages : 373 pages
Book Rating : 4.2/5 (625 download)
Download or read book Computability written by B. Jack Copeland and published by MIT Press. This book was released on 2015-01-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding. Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics. Contributors Scott Aaronson, Dorit Aharonov, B. Jack Copeland, Martin Davis, Solomon Feferman, Saul Kripke, Carl J. Posy, Hilary Putnam, Oron Shagrir, Stewart Shapiro, Wilfried Sieg, Robert I. Soare, Umesh V. Vazirani
Author : Reinhard Siegmund-Schultze
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.8/5 (127 download)
Download or read book Perspectives on Scandinavian Science in the Early Twentieth Century written by Reinhard Siegmund-Schultze and published by . This book was released on 2006 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sophia Arbeiter
Publisher : Springer Nature
ISBN 13 : 3031584252
Total Pages : 526 pages
Book Rating : 4.0/5 (315 download)
Download or read book The Philosophy of Penelope Maddy written by Sophia Arbeiter and published by Springer Nature. This book was released on with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Simon Guggenheim Memorial Foundation
Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.F/5 ( download)
Download or read book Reports of the President and the Treasurer - John Simon Guggenheim Memorial Foundation written by John Simon Guggenheim Memorial Foundation and published by . This book was released on 1965 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes: biographies of fellows appointed; reappointments; publications, musical compositions, academic appointments and index of fellows.
Author : Johann Pfanzagl
Publisher : Springer
ISBN 13 : 3642310842
Total Pages : 321 pages
Book Rating : 4.6/5 (423 download)
Download or read book Mathematical Statistics written by Johann Pfanzagl and published by Springer. This book was released on 2017-10-23 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.
Author : Franco Montagna
Publisher : Springer
ISBN 13 : 3319062336
Total Pages : 324 pages
Book Rating : 4.3/5 (19 download)
Download or read book Petr Hájek on Mathematical Fuzzy Logic written by Franco Montagna and published by Springer. This book was released on 2014-09-23 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.
Author : Gilbert Faccarello
Publisher : Edward Elgar Publishing
ISBN 13 : 1785366645
Total Pages : 812 pages
Book Rating : 4.7/5 (853 download)
Download or read book Handbook on the History of Economic Analysis Volume I written by Gilbert Faccarello and published by Edward Elgar Publishing. This book was released on 2016-07-27 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I contains original biographical profiles of many of the most important and influential economists from the seventeenth century to the present day. These inform the reader about their lives, works and impact on the further development of the discipline. The emphasis is on their lasting contributions to our understanding of the complex system known as the economy. The entries also shed light on the means and ways in which the functioning of this system can be improved and its dysfunction reduced.
