Download or read book Selected Papers in Logic and Foundations Didactics Economics written by Karl Menger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism.
Download or read book Selected Papers in Logic and Foundation Didactics Economics written by Karl MENGER and published by . This book was released on 1979 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Godel s Theorem in Focus written by S.G. Shanker and published by Routledge. This book was released on 2012-08-21 with total page 272 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.
Download or read book Empiricism Logic and Mathematics written by Hans Hahn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan.
Download or read book Criticisms of Classical Political Economy written by Gilles Campagnolo and published by Routledge. This book was released on 2012-08-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The role of the German Historical School and of Carl Menger (founder of the Austrian School) is appraised in this new book. This important period of the history of economics is vital to understand how the discipline developed over the next half-century. Gilles Campagnolo has produced an impressive original work which makes use of rarely seen research by Carl Menger and as such this book will be of interest across several discplines, including history of economic thought, economic methodology, philosophy of science and the history of ideas.
Download or read book Computing with Words in Information Intelligent Systems 1 written by Lotfi A. Zadeh and published by Physica. This book was released on 2013-03-09 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes consIstmg of Foundations and Applications provide the current status of theoretical and empirical developments in "computing with words". In philosophy, the twentieth century is said to be the century of language. This is mainly due to Wittgenstein who said: "The meaning of a word is its use in the language game". "The concept game is a concept with blurred edges". In the first phrase, "the language game" implies the everyday human activity with language, and in the latter, "game" simply implies an ordinary word. Thus, Wittgenstein precisely stated that a word is fuzzy in real life. Unfortunately this idea about a word was not accepted in the conventional science. We had to wait for Zadeh's fuzzy sets theory. Remembering Wittgenstein's statement, we should consider, on the one hand, the concept of "computing with words" from a philosophical point of view. It deeply relates to the everyday use of a word in which the meaning of a word is fuzzy in its nature.
Download or read book The Philosophy of the Austrian School written by Raimondo Cubeddu and published by Routledge. This book was released on 2005-08-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Austrian School has made some of the most significant contributions to the social sciences in recent times but attempts to understand it have remained locked in a polemical frame. In contrast, The Philosphy of the Austrian School presents a philosophically grounded account of the School's methodological, political and economic ideas. Whilst acknowledging important differences between the key figures in the School - Menger, Mises, and Hayek - Raimondo Cubeddu finds that they also have significant things in common. Paramount amongst these are theories of subjective value and notions of spontaneous order, both of which rest on theories of seminal avenues of research in the social sciences and a major reformulation of liberal ideology.
Download or read book Logical Algebraic Analytic and Probabilistic Aspects of Triangular Norms written by Erich Peter Klement and published by Elsevier. This book was released on 2005-03-25 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces. Key Features: - Complete state of the art of the importance of triangular norms in various mathematical fields - 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications - Chapter authors are leading authorities in their fields - Triangular norms on different domains (including discrete, partially ordered) are described - Not only triangular norms but also related operators (aggregation operators, copulas) are covered - Book contains many enlightening illustrations · Complete state of the art of the importance of triangular norms in various mathematical fields · 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications · Chapter authors are leading authorities in their fields · Triangular norms on different domains (including discrete, partially ordered) are described · Not only triangular norms but also related operators (aggregation operators, copulas) are covered · Book contains many enlightening illustrations
Download or read book A History of Economic Science in Japan written by Aiko Ikeo and published by Routledge. This book was released on 2014-04-03 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Japanese economists began publishing scientific papers in renowned journals including Econometrica in the 1950s and had made their significant contributions to the sophistication of general equilibrium analysis by intensive use of a variety of mathematical instruments. They had contributed significantly to the transformation of neoclassical economics. This book examines how it became possible for Japanese economists to do so by shedding light on the "professional" discussion of the international gold standard and parity policies in the early twentieth century, the acceptance of "mathematical economics" in the following period, the impact of establishment of the Econometric Society (1930), and the swift distribution of theory-oriented economics journals since 1930. This book also includes topics on the historical research of the Japanese foundations of modern economics, the transformation of the economics of Keynes into Keynesian economics, Japanese developments in econometrics, and Martin Bronfenbrenner's visit to Japan in the post-WWII period. This book provides insight into the economic research done by Japanese scholars in the international context. It traces how, during the period 1900-1960, economics was harmonized with economics and a standard economics was re-shaped on the basis of mathematics thanks to economists' appetite for rigor and will help to contribute to existing literature.
Download or read book The Search for Mathematical Roots 1870 1940 written by Ivor Grattan-Guinness and published by Princeton University Press. This book was released on 2011-02-11 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Download or read book Towards the Future of Fuzzy Logic written by Rudolf Seising and published by Springer. This book was released on 2015-05-26 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a snapshot of the state-of-the art in fuzzy logic. Throughout the chapters, key theories developed in the last fifty years as well as important applications to practical problems are presented and discussed from different perspectives, as the authors hail from different disciplines and therefore use fuzzy logic for different purposes. The book aims at showing how fuzzy logic has evolved since the first theory formulation by Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories and implementation grew at an impressive speed and achieved significant results, especially on the applicative side. The study of fuzzy logic and its practice spread all over the world, from Europe to Asia, America and Oceania. The editors believe that, thanks to the drive of young researchers, fuzzy logic will be able to face the challenging goals posed by computing with words. New frontiers of knowledge are waiting to be explored. In order to motivate young people to engage in the future development of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the editors invited a team of internationally respected experts to write the present collection of papers, which shows the present and future potentials of fuzzy logic from different disciplinary perspectives and personal standpoints.
Download or read book The Legacy of the Vienna Circle written by Sahotra Sarkar and published by Taylor & Francis. This book was released on 1996 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-nine collected essays represent a critical history of Shakespeare's play as text and as theater, beginning with Samuel Johnson in 1765, and ending with a review of the Royal Shakespeare Company production in 1991. The criticism centers on three aspects of the play: the love/friendship debate.
Download or read book European Philosophy of Science Philosophy of Science in Europe and the Viennese Heritage written by Maria Carla Galavotti and published by Springer Science & Business Media. This book was released on 2013-08-28 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines the theoretical and historical perspective focusing on the specific features of a European philosophy of science. On the occasion of the 20th anniversary of the Institute Vienna Circle the Viennese roots and influences will be addressed, in addition. There is no doubt that contemporary philosophy of science originated mainly in Europe beginning in the 19th century and has influenced decisively the subsequent development of globalized philosophy of science, esp. in North America. Recent research in this field documents some specific characteristics of philosophy of science covering the natural, social, and also cultural sciences in the European context up to the destruction and forced migration caused by Fascism and National Socialism. This European perspective with the integration of history and philosophy of science and the current situation in the philosophy of science after the transatlantic interaction and transformation, and the “return” after World War II raises the question of contemporary European characteristics in the philosophy of science. The role and function of the renowned Vienna Circle of Logical Empiricism and its impact and influence on contemporary philosophy of science is on the agenda, too. Accordingly, the general topic is dealt with in two parallel sessions representing systematic-formal as well as genetic-historical perspectives on philosophy of science in a European context up to the present.
Download or read book Paraconsistency written by Walter Alexandr Carnielli and published by CRC Press. This book was released on 2002-04-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.
Download or read book Reconsidering Logical Positivism written by Michael Friedman and published by Cambridge University Press. This book was released on 1999-07-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reinterpretation of the enduring significance of logical positivism.
Download or read book The Active Consumer written by Marina Bianchi and published by Routledge. This book was released on 2006-05-10 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Active Consumer discusses how consumers seem to delight in trying new solutions and exploring new combinatory possibilities. This book provides an economic-theoretical understanding of this phenomenon and the many ways in which innovation can structure consumer choice. The authors show from different points of view how central novelty can be in consumer behaviour, how it relates to technical change and how new consumer capabilities are developed and organized.
Download or read book Moritz Schlick Philosophical Papers written by Moritz Schlick and published by Springer Science & Business Media. This book was released on 1978-12-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
