How Economics Became a Mathematical Science

2003 ◽  
Vol 69 (4) ◽  
pp. 1011
Author(s):  
Bruce Caldwell ◽  
E. Roy Weintraub
Keyword(s):  
Mathematical Science

WHY ECONOMICS IS AN EVOLUTIONARY, MATHEMATICAL SCIENCE: HOW COULD VEBLEN’S VIEW OF ECONOMICS HAVE BEEN SO DIFFERENT THAN PEIRCE’S?

2021 ◽  
pp. 1-28
Author(s):  
James R. Wible
Keyword(s):  
Charles Darwin ◽  
Charles Sanders Peirce ◽  
Quarterly Journal ◽  
Economic Life ◽  
Neoclassical Economics ◽  
Mathematical Science ◽  
Evolutionary Perspective ◽  
Thorstein Veblen ◽  
Evolutionary Science ◽  
Mechanistic View

More than a century ago, one of the most famous essays ever written in American economics appeared in the Quarterly Journal of Economics: “Why is Economics Not an Evolutionary Science?” There, Thorstein Veblen claimed that economics was too dominated by a mechanistic view to address the problems of economic life. Since the world and the economy had come to be viewed from an evolutionary perspective after Charles Darwin, it was rather straightforward to argue that the increasingly abstract mathematical character of economics was non-evolutionary. However, Veblen had studied with a first-rate intellect, Charles Sanders Peirce, attending his elementary logic class. If Peirce had written about the future of economics in 1898, it would have been very different than Veblen’s essay. Peirce could have written that economics should become an evolutionary mathematical science and that much of classical and neoclassical economics could be interpreted from an evolutionary perspective.

Mathematical Knowledge and the Origin of Phenomenology

2021 ◽  
Vol 21 ◽  
pp. 273-294
Author(s):  
Gabriele Baratelli ◽  
Keyword(s):  
Mathematical Knowledge ◽  
Cardinal Number ◽  
The Other ◽  
Mathematical Science ◽  
Natural Numbers ◽  
Symbolic Thinking ◽  
The One

The paper is divided into two parts. In the first one, I set forth a hypothesis to explain the failure of Husserl’s project presented in the Philosophie der Arithmetik based on the principle that the entire mathematical science is grounded in the concept of cardinal number. It is argued that Husserl’s analysis of the nature of the symbols used in the decadal system forces the rejection of this principle. In the second part, I take into account Husserl’s explanation of why, albeit independent of natural numbers, the system is nonetheless correct. It is shown that its justification involves, on the one hand, a new conception of symbols and symbolic thinking, and on the other, the recognition of the question of “the formal” and formalization as pivotal to understand “the mathematical” overall.

SYMOIN STOILOV (1887-1961): DETAILS OF SCIENTIfiC CAREER

2021 ◽  
Vol 9 (1) ◽  
pp. 152-163
Author(s):  
O. Martynyuk ◽  
I. Zhytaryuk
Keyword(s):  
Interwar Period ◽  
Analytic Functions ◽  
Complex Analysis ◽  
Topological Analysis ◽  
Second World War ◽  
Educational Process ◽  
Mathematical Science ◽  
World War ◽  
Second World ◽  
Selection Of

The present article covers topics of life, scientific, pedagogical and social activities of the famous Romanian mathematician Simoin Stoilov (1887-1961), professor of Chernivtsi and Bucharest universities. Stoilov was working at Chernivtsi University during 1923-1939 (at this interwar period Chernivtsi region was a part of royal Romania. The article is aimed on the occasion of honoring professors’ memory and his managerial abilities in the selection of scientific and pedagogical staff to ensure the educational process and research in Chernivtsi University in the interwar period. In addition, it is noted that Simoin Stoilov has made a significant contribution to the development of mathematical science, in particular he is the founder of the Romanian school of complex analysis and the theory of topological analysis of analytic functions; the main directions of his research are: partial differential equation; set theory; general theory of real functions and topology; topological theory of analytic functions; issues of philosophy and foundation of mathematics, scientific research methods, Lenin’s theory of cognition. The article focuses on the active socio-political and state activities of Simoin Stoilov in terms of restoring scientific and cultural ties after the Second World War.

scholarly journals The basic directions of the accomplishment of preparatory conception of future teachers in modernization of education

2020 ◽  
Vol 10 ◽  
pp. 115-120
Author(s):  
Sultanov Mukhtor Mamadalievich ◽  
Dzhumaev Mamanazar Irgashevich
Keyword(s):  
Science Education ◽  
Practical Importance ◽  
Scientific Research ◽  
Mathematical Science ◽  
Effective Work ◽  
State Program ◽  
Priority Areas ◽  
The Past ◽  
Action Strategy ◽  
The Republic

Over the past thirty years, many reforms have been carried out in the education of intellectually, physically perfect youth. Mathematics is identified as one of the priority areas for the development of science in our country in 2020. Over the past period, a number of systematic works have been carried out aimed at raising mathematical science to a qualitatively new level. In order to further improve the system of teaching mathematical science at all levels of education, to support the effective work of teachers, to expand the scale and practical importance of scientific research, strengthen ties with the international community, and also fulfill the tasks identified in the State Program for the Implementation of the Five-Step Action Strategy priority areas of development of the Republic of Uzbekistan in 2017 - 2021 in the "Year of the development of science, education and the digital economy".

scholarly journals "The Pyrenees are not hollow": the mountain as a boundary object

2009 ◽  
Vol 16 (3) ◽  
pp. 789-801
Author(s):  
Jérôme Lamy
Keyword(s):  
Nineteenth Century ◽  
Research Method ◽  
Visual Observation ◽  
Boundary Object ◽  
Mathematical Science ◽  
Scientific Practices ◽  
Local Newspapers

In Toulouse, around 1850, a controversy about the structure of the Pyrenees pitted observatory director Frederic Petit against geology professor Alexandre Leymerie. The object of the debate was an assumption formulated by Petit: that the inside of the Pyrenees was practically hollow. This proposal was based on work that Petit initiated in order to determine the latitude of Toulouse. The debates, which took place within the Toulouse Academy of Science and also in local newspapers, illustrate the organization of disciplinary spaces in the nineteenth century. Petit defended his research method based on calculation; the geologist's perspective was from the field. The emergence of the less mathematical science of geology came up against nineteenth-century astronomical practices, centered on calculation. Dissected by calculation or by visual observation, the mountain was an object of controversy from the perspective of distinct scientific practices.

Accounts of books. (I.) Le grand & fameux probleme de la quadrature du cercle resolu geometriuement par le cercle & la ligne droite, par Monsieur Mallement de Messange. A Paris, in 12° 1686. With a refutation of the same, by mr. D. Cluverius. Reg. S. Soc. II Voiage de Siam des Peres Jesuites envoyez par le Roy aux indes & a la Chine. A Paris 1686. 4°

1687 ◽  
Vol 16 (185) ◽  
pp. 245-254
Keyword(s):  
Mathematical Science

This author is one of those unhappy geometricians, who without having acquired a through understanding of the principles, have yet thought themselves able to master the abstrusest difficulties in this nice mathematical science, where the least oversight or mistake subverts the whole superstructure.

scholarly journals XV. A new demonstration of the binomial theorem, when the exponent is a positive or negative fraction. By the Rev. Abram Robertson, A. M. F. R. S. Savilian Professor of Geometry in the University of Oxford. In a letter to Davies Giddy, Esq. F. R. S

1806 ◽  
Vol 96 ◽  
pp. 305-326 ◽  
Keyword(s):  
Royal Society ◽  
Mathematical Science ◽  
Binomial Theorem ◽  
Useful Knowledge ◽  
University Of Oxford ◽  
The University ◽  
The Way

Dear Sir, Being perfectly convinced of your love of mathematical science, and your extensive acquirements in it, I submit to your perusal a new demonstration of the binomial theorem, when the exponent is a positive or negative fraction. As I am a strenuous advocate for smoothing the way to the acquisition of useful knowledge, i deem the following articles of some importance ; and unless I were equally sincere in this persuasion, and in that of your desire to promote mathemati­cal studies, in requesting the perusal, I should accuse myself of an attempt to trifle with your valuable time. The following demonstration is new only to the extent above mentioned ; but in order that the reader may perceive the proof to be complete, a successive perusal of all the articles is necessary. As far as it relates to the raising of in­tegral powers, it is in substance the same with one which I drew up in the year 1794, and which was honoured with a place in the Philosophical Transactions for 1795. If, therefore, you think the following demonstration worthy the attention of mathematicians, you will much oblige me by presenting it to the Royal Society.

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