Was Carl Menger Jewish?
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Passmore, J. (1967). Logical Positivism. in P. Edwards (Ed.). the Encyclopedia of Philosophy (Vol. 5, 52- 57). New York: Macmillan
Passmore, J. (1967). Logical Positivism. In P. Edwards (Ed.). The Encyclopedia of Philosophy (Vol. 5, 52- 57). New York: Macmillan. LOGICAL POSITIVISM is the name given in 1931 by A. E. Blumberg and Herbert Feigl to a set of philosophical ideas put forward by the Vienna circle. Synonymous expressions include "consistent empiricism," "logical empiricism," "scientific empiricism," and "logical neo-positivism." The name logical positivism is often, but misleadingly, used more broadly to include the "analytical" or "ordinary language philosophies developed at Cambridge and Oxford. HISTORICAL BACKGROUND The logical positivists thought of themselves as continuing a nineteenth-century Viennese empirical tradition, closely linked with British empiricism and culminating in the antimetaphysical, scientifically oriented teaching of Ernst Mach. In 1907 the mathematician Hans Hahn, the economist Otto Neurath, and the physicist Philipp Frank, all of whom were later to be prominent members of the Vienna circle, came together as an informal group to discuss the philosophy of science. They hoped to give an account of science which would do justice -as, they thought, Mach did not- to the central importance of mathematics, logic, and theoretical physics, without abandoning Mach's general doctrine that science is, fundamentally, the description of experience. As a solution to their problems, they looked to the "new positivism" of Poincare; in attempting to reconcile Mach and Poincare; they anticipated the main themes of logical positivism. In 1922, at the instigation of members of the "Vienna group," Moritz Schlick was invited to Vienna as professor, like Mach before him (1895-1901), in the philosophy of the inductive sciences. Schlick had been trained as a scientist under Max Planck and had won a name for himself as an interpreter of Einstein's theory of relativity. -
Karl Menger Seymour Kass
comm-menger.qxp 4/22/98 9:44 AM Page 558 Karl Menger Seymour Kass Karl Menger died on October 5, 1985, in Chicago. dents were Nobel Laureates Richard Kuhn and Except in his native Austria [5], no obituary no- Wolfgang Pauli. He entered the University of Vi- tice seems to have appeared. This note marks ten enna in 1920 to study physics, attending the lec- years since his passing. tures of physicist Hans Thirring. Hans Hahn Menger’s career spanned sixty years, during joined the mathematics faculty in March 1921, which he published 234 papers, 65 of them be- and Menger attended his seminar “News about fore the age of thirty. A partial bibliography ap- the Concept of Curves”. In the first lecture Hahn pears in [15]. His early work in geometry and formulated the problem of making precise the topology secured him an enduring place in math- idea of a curve, which no one had been able to ematics, but his reach extended to logic, set the- articulate, mentioning the unsuccessful attempts ory, differential geometry, calculus of variations, of Cantor, Jordan, and Peano. The topology used graph theory, complex functions, algebra of in the lecture was new to Menger, but he “was functions, economics, philosophy, and peda- completely enthralled and left the lecture room gogy. Characteristic of Menger’s work in geom- in a daze” [10, p. 41]. After a week of complete etry and topology is the reworking of funda- engrossment, he produced a definition of a curve mental concepts from intrinsic points of view and confided it to fellow student Otto Schreier, (curve, dimension, curvature, statistical metric who could find no flaw but alerted Menger to re- spaces, hazy sets). -
UNIVERSITY of ANTWERP Faculty of Applied Economics City Campus Prinsstraat 13, B.226 B-2000 Antwerp Tel
DEPARTMENT OF ECONOMICS All but one: How pioneers of linear economics overlooked Perron-Frobenius mathematics Wilfried Parys UNIVERSITY OF ANTWERP Faculty of Applied Economics City Campus Prinsstraat 13, B.226 B-2000 Antwerp Tel. +32 (0)3 265 40 32 Fax +32 (0)3 265 47 99 www.uantwerpen.be FACULTY OF APPLIED ECONOMICS DEPARTMENT OF ECONOMICS All but one: How pioneers of linear economics overlooked Perron-Frobenius mathematics Wilfried Parys RESEARCH PAPER 2013-030 DECEMBER 2013 University of Antwerp, City Campus, Prinsstraat 13, B-2000 Antwerp, Belgium Research Administration – room B.226 phone: (32) 3 265 40 32 fax: (32) 3 265 47 99 e-mail: [email protected] The research papers from the Faculty of Applied Economics are also available at www.repec.org (Research Papers in Economics - RePEc) D/2013/1169/030 All but one: How pioneers of linear economics overlooked Perron-Frobenius mathematics Wilfried PARYS Acknowledgements: Previous versions of this paper were presented at the 17th Annual Conference of the European Society for the History of Economic Thought at Kingston University, London, in May 2013, and at the Colloquium on The Pioneers of Linear Models of Production, University of Paris Ouest, Nanterre, in January 2013. I thank the participants of these conferences for their useful comments. I am indebted to Thomas Hawkins for his stimulating communications on Perron- Frobenius since 2005, and for his valuable comments on my January 2013 version. Section 3 benefited from earlier discussions on Potron with Christian Bidard and Guido Erreygers. I am grateful for some interesting remarks by Olav Bjerkholt, Nerio Naldi, Arrigo Opocher, Hans Schneider, and by the late Franz Alt and the late Paul Samuelson. -
Mathematical Economics - Marginal Analysis in the Consumer Behavior Theory
Munich Personal RePEc Archive Mathematical Economics - Marginal analysis in the consumer behavior theory Marques, Jorge and Pascoal, Rui CeBER, University of Coimbra, CeBER, University of Coimbra 2018 Online at https://mpra.ub.uni-muenchen.de/96442/ MPRA Paper No. 96442, posted 10 Oct 2019 07:15 UTC Mathematical Economics - Marginal analysis in the consumer behavior theory Jorge Marques CeBER and FEUC, University of Coimbra, Portugal Rui Pascoal CeBER and FEUC, University of Coimbra, Portugal Abstract In the neoclassical theory, the economic value of a good is determined by the benefit that an individual consumer attributes to the last ("marginal") unit consumed. Marginal analysis was introduced to the theory of value by William Jevons, Carl Menger and Léon Walras, the founders of marginalism. Since the so-called “marginalist revolution” of the 1870s, differential (or infinitesimal) calculus has been applied to the mathematical modelling of economic theories. Our goal is to present some consumer behavior models, their advantages and limitations, using the methodology of economic science. It should be emphasized that each (re)formulation is based on different economic principles: diminishing marginal utility, diminishing marginal rate of substitution and weak axiom of revealed preference. 1. Introduction Economics is the social science that has incorporated the most mathematics into its theories and models. The formulation and application of mathematical methods to represent economic principles gave rise to a new area of study called Mathematical Economics. The theory of value was one of the first theories to be analyzed using a mathematical framework. The so-called “marginalist revolution” in Economics, at the beginning of the 1870s, is intimately related to the use of differential (or infinitesimal) calculus. -
University of S˜Ao Paulo School of Economics
UNIVERSITY OF SAO˜ PAULO SCHOOL OF ECONOMICS, BUSINESS AND ACCOUNTING DEPARTMENT OF ECONOMICS GRADUATE PROGRAM IN ECONOMIC THEORY History of the Calculus of Variations in Economics Hist´oria do C´alculo Variacional em Economia Vin´ıcius Oike Reginatto Prof. Dr. Pedro Garcia Duarte SAO˜ PAULO 2019 Prof. Dr. Vahan Agopyan Reitor da Universidade de S˜ao Paulo Prof. Dr. F´abio Frezatti Diretor da Faculdade de Economia, Administra¸c˜ao e Contabilidade Prof. Dr. Jos´eCarlos de Souza Santos Chefe do Departamento de Economia Prof. Dr. Ariaster Baumgratz Chimeli Coordenador do Programa de P´os-Gradua¸c˜ao em Economia VIN´ICIUS OIKE REGINATTO HISTORY OF THE CALCULUS OF VARIATIONS IN ECONOMICS Disserta¸c˜ao apresentada ao Programa de P´os-Gradua¸c˜ao em Economia do Departa- mento de Economia da Faculdade de Econo- mia, Administra¸c˜ao e Contabilidade da Uni- versidade de S˜ao Paulo, como requisito par- cial para a obten¸c˜ao do t´ıtulo de Mestre em Ciˆencias Orientador: Prof. Dr. Pedro Garcia Duarte VERSAO˜ ORIGINAL SAO˜ PAULO 2019 Ficha catalográfica Elaborada pela Seção de Processamento Técnico do SBD/FEA com os dados inseridos pelo(a) autor(a) Reginatto, Vinícius Oike Reginatto. History of the Calculus of Variations in Economics / Vinícius Oike Reginatto Reginatto. - São Paulo, 2019. 94 p. Dissertação (Mestrado) - Universidade de São Paulo, 2019. Orientador: Pedro Garcia Duarte Duarte. 1. History of Economic Thought in the 20th Century. 2. Calculus of Variations. I. Universidade de São Paulo. Faculdade de Economia, Administração e Contabilidade. II. Título. AGRADECIMENTOS Agrade¸co ao professor Pedro Garcia Duarte pela orienta¸c˜ao neste t´opico bastante instigante, que conciliou muitos dos meus interesses em economia. -
Oskar Morgenstern and the Viennese Economists in the 1930’S Abstract
e i g o l o n h c e t a l t NOTE DE RECHERCHE e e c n From Austroliberalism to e i c Anschluss : s a l Oskar Morgenstern and r u s the Viennese Economists e h in the 1930’s c r e h c e r e d e r i a t i s r e v i n a u c r . e m t a q n i u . t s e r r i Robert Leonard t c . n w e w C 2006-03 w UNIVERSITÉ DE Université du Québec à Montréal SHERBROOKE Adresse postale CIRST Université du Québec à Montréal C.P. 8888, Succursale Centre-ville Montréal (Québec) Canada, H3C 3P8 Adresse civique CIRST Université du Québec à Montréal Pavillon Thérèse-Casgrain, 3e étage 455, boul. René-Lévesque Est, Bureau W-3042 Montréal (Québec) Canada H2L 4Y2 Pour nous joindre Téléphone : (514) 987-4018 Télécopieur : (514) 987-7726 Courrier électronique : [email protected] Site Internet : www.cirst.uqam.ca Conception graphique : Marie-Andrée Desgagnés et Lysanne Lessard Révision linguistique: Jocelyne Raymond ISBN-13 978-2-923333-20-5 ISBN-10 2-923333-20-9 Dépôt légal Bibliothèque et Archives nationales du Québec, 2006 Bibliothèque et Archives Canada, 2006 Table of Contents ABSTRACT.................................................................................................................................................................. 1 INTRODUCTION........................................................................................................................................................ 1 THE LIMITS OF MATHEMATICAL REPRESENTATION................................................................................ 3 SOCIAL PLANNING AND CONTEMPORARY CIVILIZATION...................................................................... -
A Tribute to Karl Menger Seymour Kass University of Massachusetts
Humanistic Mathematics Network Journal Issue 16 Article 3 11-1-1997 A Tribute to Karl Menger Seymour Kass University of Massachusetts Follow this and additional works at: http://scholarship.claremont.edu/hmnj Part of the Mathematics Commons Recommended Citation Kass, Seymour (1997) "A Tribute to Karl Menger," Humanistic Mathematics Network Journal: Iss. 16, Article 3. Available at: http://scholarship.claremont.edu/hmnj/vol1/iss16/3 This Article is brought to you for free and open access by the Journals at Claremont at Scholarship @ Claremont. It has been accepted for inclusion in Humanistic Mathematics Network Journal by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. ATribute Karl Menger ArticlebySeymour Kass University ofMassachusetts Boston, MA 02125 e-mail: [email protected] Originally printed as "Karl Menger" in May 1996 edition of Notices of the AMS :Volume43, Number 5, "His office was a showplace of chaos, the desktop covered with a turbulent sea of papers, He knew the exact position of each scrap, On the telephone he could instruct a secretary exactly how to locate what he needed, Once, in hisabsence, a new secretary undertook to 'make order', making little stacks on his desk, Upon his return, discovering the disaster, he nearly wept, because 'Now1don'tknow where anything is." Karl Menger died on October 5, 1985, in Chicago. Ex curve, wh ich no one had been able to articulate, men cept in his native Austria 15], no obituary notice seems tioning the unsuccessful attempts of Cantor, Jordan, to have appeared. This note marks ten years since his and Peano. -
NOTICES of the AMS VOLUME 57, NUMBER 9 Mathematics People Thirty-Five Years
Mathematics People Nagel and Wainger Receive 2007–2008 Bergman Prize Alexander Nagel and Stephen Wainger of the University of Wisconsin-Madison have been awarded the 2007–2008 Stefan Bergman Prize. Established in 1988, the prize recognizes mathematical accomplishments in the areas of research in which Stefan Bergman worked. The prize consists of one year’s income from the prize fund. Because the prize is given for the years 2007 and 2008, Nagel and Wainger will each receive US$26,950. The previous Bergman Prize winners are: David W. Cat- Alexander Nagel Stephen Wainger lin (1989), Steven R. Bell and Ewa Ligocka (1991), Charles Fefferman (1992), Yum Tong Siu (1993), John Erik Fornæss 1998. He was named Steenbock Professor of Mathematical (1994), Harold P. Boas and Emil J. Straube (1995), David E. Sciences in 2004. Barrett and Michael Christ (1997), John P. D’Angelo (1999), Nagel held a National Science Foundation Graduate Fel- Masatake Kuranishi (2000), László Lempert and Sidney lowship (1996–1970), an H. I. Romnes Faculty Fellowship Webster (2001), M. Salah Baouendi and Linda Preiss Roth- at the University of Wisconsin (1980–1985), and a Gug- schild (2003), Joseph J. Kohn (2004), Elias M. Stein (2005), genheim Fellowship (1987–88). He received the Wisconsin and Kengo Hirachi (2006). On the selection committee for the 2007–2008 prize were Raphael Coifman, Linda Preiss Distinguished Teaching Award from the Mathematical Rothschild, and Elias M. Stein (chair). Association of America in 2004 and was elected a Fellow of the American Association for the Advancement of Sci- Citation ence in 2009. The 2007–2008 Bergman Prize is shared by Alexander Biographical Sketch: Stephen Wainger Nagel and Stephen Wainger of the University of Wisconsin for their fundamental contributions in collaborative work Stephen Wainger was born in Schenectady, New York, in in the study of Bergman and Szegö kernels, the geometry 1936. -
Karl Menger As Son of Carl Menger
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Scheall, Scott; Schumacher, Reinhard Working Paper Karl Menger as son of Carl Menger CHOPE Working Paper, No. 2018-18 Provided in Cooperation with: Center for the History of Political Economy at Duke University Suggested Citation: Scheall, Scott; Schumacher, Reinhard (2018) : Karl Menger as son of Carl Menger, CHOPE Working Paper, No. 2018-18, Duke University, Center for the History of Political Economy (CHOPE), Durham, NC This Version is available at: http://hdl.handle.net/10419/191009 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. www.econstor.eu Karl Menger as Son of Carl Menger By Scott Scheall and Reinhard Schumacher CHOPE Working Paper No. -
Tarski's Conceptual Analysis of Semantical Notions
Tarski’s Conceptual Analysis of Semantical Notions 1 Solomon Feferman Dedicated to the memory of Robert L. Vaught (1926-2002) Fellow student, dear friend, colleague Abstract: Tarski is famous for his widely accepted conceptual analysis (or, in his terms, “explication”) of the notion of truth for formal languages and the allied notions of satisfaction, definability, and logical consequence. From an historical point of view, two questions are of interest. First, what motivated Tarski to make these analyses, and second, what led to their particular form? The latter question is easy to answer at one level: Tarski was heavily influenced by the visible success of conceptual analysis in set-theoretic topology as practiced by the leading mathematicians at the University of Warsaw in the 1920s, and so formulated his analyses of semantical concepts in general set-theoretical terms. But the actual forms which his definitions took are puzzling in a number of respects. The question of motivation is also difficult because there was no prima facie compelling reason for dealing in precise terms with the semantical notions. These had been used quite confidently, without any such explication, by a number of Tarski’s contemporaries, including Skolem and Gödel. The aim of this paper is to throw greater light on both the “why” and “how” questions concerning Tarski’s conceptual analysis of semantical notions, especially that of truth. The puzzles of “why” and “how”. The two most famous and--in the view of many-- most important examples of conceptual analysis in twentieth century logic were Alfred Tarski’s definition of truth and Alan Turing’s definition of computability. -
Was Carl Menger a Neoclassical Economist? Gerald P
Economic Staff aP per Series Economics 4-1977 Was Carl Menger a Neoclassical Economist? Gerald P. O'Driscoll Iowa State University Follow this and additional works at: http://lib.dr.iastate.edu/econ_las_staffpapers Part of the Economic History Commons, Economic Theory Commons, and the Growth and Development Commons Recommended Citation O'Driscoll, Gerald P., "Was Carl Menger a Neoclassical Economist?" (1977). Economic Staff aP per Series. 127. http://lib.dr.iastate.edu/econ_las_staffpapers/127 This Report is brought to you for free and open access by the Economics at Iowa State University Digital Repository. It has been accepted for inclusion in Economic Staff aP per Series by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Was Carl Menger a Neoclassical Economist? Abstract The title of this paper was chosen both for pedagogic and for rhetorical reasons. On the face of it, the title makes little es nse. For "everyone knows" that the three great neoclassical economists were Jevons, Menger and Waliras. Their oj int contribution was the development of marginal analysis. Walras specifically emphasized general equilibrium analysis. Marshall synthesized the new econoiid.cs, or neoclassical economics, with the insights of Ricardian orthodoxy, and developed a new orthodox that reigned in the Anglo-Saxon world until the thirties, when Hicks and Alien reintroduced Walraslan and Paretian ideas. Disciplines Economic History | Economic Theory | Growth and Development This report is available at Iowa State University Digital Repository: http://lib.dr.iastate.edu/econ_las_staffpapers/127 Preliminary: Not to be quoted without author's permission "Was Carl Menger a Neoclassical Economist?" Gerald P. -
Mathematics People, Volume 45, Number 9
people.qxp 8/12/98 8:51 AM Page 1173 Mathematics People PARK (University of Arizona) Cornell University; SETH S. NSF Graduate Fellowships PATINKIN (Indiana University, Bloomington) Princeton Uni- Announced versity; JACOB ANDREW RASMUSSEN (Princeton University) Har- vard University; LAWRENCE PIERCE ROBERTS (Washington Uni- The National Science Foundation has announced awards versity) University of California, Berkeley; JESSICA ANN in its Graduate Fellowship Program for fiscal year 1998. SHEPHERD (University of Utah) Princeton University; SUDHEER This program provides support for students pursuing doc- POORNACHANDRA SHUKLA (University of Maryland, College toral study in all areas of science and engineering. Listed Park) University of Chicago; JOHN DAVID STOREY (North Car- below are the names of the 1998 awardees in the math- olina State University) North Carolina State University; HUA ematical sciences, followed by their undergraduate insti- TANG (Harvard University) Stanford University; CHRISTOPHER tutions (in parentheses) and the institutions where they plan RYAN VINROOT (North Carolina State University) Massachu- to pursue graduate work. setts Institute of Technology; RONALD ALLEN WALKER (Uni- AARON FRANCIS ARCHER (Harvey Mudd College) Cornell versity of Richmond) Princeton University; BENJAMIN CHARLES University; ERIC BAIR (Utah State University) Stanford Uni- WALTER (Rice University) Massachusetts Institute of Tech- versity; JEREMY DAVID LIPSITZ BEM (Cornell University) Uni- nology; DAVID BRIAN WALTON (Brigham Young University) versity