Results for 'Mathematics History.'

969 found
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  1.  41
    "Abraham, Planter of Mathematics"': Histories of Mathematics and Astrology in Early Modern Europe.Nicholas Popper - 2006 - Journal of the History of Ideas 67 (1):87-106.
    In lieu of an abstract, here is a brief excerpt of the content:Abraham, Planter of Mathematics":Histories of Mathematics and Astrology in Early Modern EuropeNicholas PopperFrancis Bacon's 1605 Advancement of Learning proposed to dedicatee James I a massive reorganization of the institutions, goals, and methods of generating and transmitting knowledge. The numerous defects crippling the contemporary educational regime, Bacon claimed, should be addressed by strengthening emphasis on philosophy and natural knowledge. To that end, university positions were to be created (...)
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  2.  36
    (1 other version)Poststructuralism and Deconstruction: A Mathematical History.Vladimir Tasic - 2012 - Cosmos and History 8 (1):177-198.
    Explaining his love of philosophy, Slavoj Žižek notes that he ‘secretly thinks reality exists so that we can speculate about it’. This article takes the view that links between mathematics and continental philosophy are part of reality, the reality of philosophy and its history, and hence require speculation. Examples from the work of Jacques Derrida and Henri Poincaré are discussed.
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  3. Natural Cybernetics and Mathematical History: The Principle of Least Choice in History.Vasil Penchev - 2020 - Cultural Anthropology (Elsevier: SSRN) 5 (23):1-44.
    The paper follows the track of a previous paper “Natural cybernetics of time” in relation to history in a research of the ways to be mathematized regardless of being a descriptive humanitarian science withal investigating unique events and thus rejecting any repeatability. The pathway of classical experimental science to be mathematized gradually and smoothly by more and more relevant mathematical models seems to be inapplicable. Anyway quantum mechanics suggests another pathway for mathematization; considering the historical reality as dual or “complimentary” (...)
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  4.  37
    A Mathematical History of Division in Extreme and Mean RatioRoger Herz-Fischler.Sabetai Unguru - 1989 - Isis 80 (2):298-299.
  5.  47
    A Mathematical History of Division in Extreme and Mean Ratio. [REVIEW]James King Bidwell - 1992 - Ancient Philosophy 12 (1):248-250.
  6.  37
    Analysis and Synthesis in Mathematics: History and Philosophy. Michael Otte, Marco Panza.Antoni Malet - 2000 - Isis 91 (1):135-136.
  7. Diagrams in mathematics: history and philosophy.John Mumma & Marco Panza - 2012 - Synthese 186 (1):1-5.
    Diagrams are ubiquitous in mathematics. From the most elementary class to the most advanced seminar, in both introductory textbooks and professional journals, diagrams are present, to introduce concepts, increase understanding, and prove results. They thus fulfill a variety of important roles in mathematical practice. Long overlooked by philosophers focused on foundational and ontological issues, these roles have come to receive attention in the past two decades, a trend in line with the growing philosophical interest in actual mathematical practice.
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  8.  6
    Different Types of Mathematical History.G. Miller - 1921 - Isis 4:5-12.
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  9.  22
    Roger Herz-Fischler. A Mathematical History of Division in Extreme and Mean Ratio. Waterloo, Canada: Wilfred Laurier University Press, 1987. Pp. xvi + 191. ISBN 0-88920-152-8. No price given. [REVIEW]I. Grattan-Guinness - 1989 - British Journal for the History of Science 22 (1):84-85.
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  10.  10
    The history of mathematics.Anne Rooney - 2013 - New York: Rosen.
    Traces the origins and development of arithmetic, statistics, geometry, and calculus from the ancient civilizations to the present.
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  11.  45
    History and Philosophy of Modern Mathematics.William Aspray & Philip Kitcher - 1988 - U of Minnesota Press.
    History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history (...)
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  12.  49
    Mathematics, a Concise History and Philosophy.W. S. Anglin - 1994 - Springer.
    This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of (...)
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  13.  27
    Robert Goulding, Defending Hypatia: Ramus, Savile, and the Renaissance Rediscovery of Mathematical History. Heidelberg, London and New York: Springer, 2010. Pp. xx+201. ISBN 978-90-481-3541-7. £90.00. [REVIEW]Stephen Pumfrey - 2012 - British Journal for the History of Science 45 (2):286-288.
  14. Routledge History of Philosophy Volume Ix: Philosophy of the English-Speaking World in the Twentieth Century 1: Science, Logic and Mathematics.S. G. Shanker (ed.) - 1996 - Routledge.
    Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus ; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on the (...)
     
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  15.  47
    History & Mathematics: Processes and Models of Global Dynamics.Leonid Grinin, Peter Herrmann, Andrey Korotayev & Arno Tausch (eds.) - 2010
    A more and more important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical methods. The history is studied more and more as a system of various processes, within which one can detect waves and cycles of different lengths – from a few years to several centuries, or even millennia. This issue is the third collective monograph in the series of (...)
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  16.  38
    Research in History and Philosophy of Mathematics: The CSHPM 2016 Annual Meeting in Calgary, Alberta.Maria Zack & Dirk Schlimm (eds.) - 2017 - New York: Birkhäuser.
    Proceedings of the Canadian Society for History and Philosophy of Mathematics.
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  17.  14
    Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences.Ivor Grattan-Guinness (ed.) - 1992 - Routledge.
    The Companion Encyclopedia is the first comprehensive work to cover all the principal lines and themes of the history and philosophy of mathematics from ancient times up to the twentieth century. In 176 articles contributed by 160 authors of 18 nationalities, the work describes and analyzes the variety of theories, proofs, techniques, and cultural and practical applications of mathematics. The work's aim is to recover our mathematical heritage and show the importance of mathematics today by treating its (...)
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  18.  59
    (1 other version)E. R. Kiely. Mathematics, history of. New Catholic encyclopedia, prepared by an editorial staff at the Catholic University of America, McGraw-Hill Book Company, New York etc. 1967, vol. 9, pp. 447–456. [REVIEW]Alonzo Church - 1975 - Journal of Symbolic Logic 40 (4):598-598.
  19. The History of Mathematical Proof in Ancient Traditions.Karine Chemla (ed.) - 2012 - Cambridge University Press.
    This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to (...)
     
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  20.  79
    History of Mathematics in Mathematics Education.Michael N. Fried - 2014 - In Michael R. Matthews, International Handbook of Research in History, Philosophy and Science Teaching. Springer. pp. 669-703.
    This paper surveys central justifications and approaches adopted by educators interested in incorporating history of mathematics into mathematics teaching and learning. This interest itself has historical roots and different historical manifestations; these roots are examined as well in the paper. The paper also asks what it means for history of mathematics to be treated as genuine historical knowledge rather than a tool for teaching other kinds of mathematical knowledge. If, however, history of mathematics is not subordinated (...)
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  21. Mathematics and metaphysics: The history of the Polish philosophy of mathematics from the Romantic era.Paweł Jan Polak - 2021 - Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce) 71:45-74.
    The Polish philosophy of mathematics in the 19th century is not a well-researched topic. For this period, only five philosophers are usually mentioned, namely Jan Śniadecki, Józef Maria Hoene-Wroński, Henryk Struve, Samuel Dickstein, and Edward Stamm. This limited and incomplete perspective does not allow us to develop a well-balanced picture of the Polish philosophy of mathematics and gauge its influence on 19th- and 20th-century Polish philosophy in general. To somewhat complete our picture of the history of the Polish (...)
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  22. Proof-events in History of Mathematics.Ioannis M. Vandoulakis & Petros Stefaneas - 2013 - Ganita Bharati 35 (1-4):119-157.
    In this paper, we suggest the broader concept of proof-event, introduced by Joseph Goguen, as a fundamental methodological tool for studying proofs in history of mathematics. In this framework, proof is understood not as a purely syntactic object, but as a social process that involves at least two agents; this highlights the communicational aspect of proving. We claim that historians of mathematics essentially study proof-events in their research, since the mathematical proofs they face in the extant sources involve (...)
     
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  23.  12
    Essays in the philosophy and history of logic and mathematics.Roman Murawski - 2010 - New York, NY: Rodopi. Edited by Thomas Bedürftig, Izabela Bondecka-Krzykowska & Jan Woleński.
    The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II (...)
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  24. History of intangible Advances in Mathematics.G. A. Miller - 1928 - Scientia 22 (44):81.
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  25. A History of Japanese Mathematics.David Eugène Smith & Yoshio Mikawi - 1914 - Revue de Métaphysique et de Morale 22 (4):22-22.
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  26.  85
    The Architecture of Modern Mathematics: Essays in History and Philosophy.José Ferreirós Domínguez & Jeremy Gray (eds.) - 2006 - Oxford, England: Oxford University Press.
    This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.
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  27. History of mathematical logic, de NI Styazhkin.José Sanmartín Esplugues - 1972 - Teorema: International Journal of Philosophy 2 (5):133-134.
  28.  30
    A History of Ancient Mathematical Astronomy. O. Neugebauer.Asger Aaboe - 1978 - Isis 69 (3):441-445.
  29.  38
    The history of mathematics in Spain.Elena Ausejo & Mariano Hormigón - 1999 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 7 (1):13-20.
  30.  33
    When mathematics mattered: Benjamin Wardhaugh : The history of the history of mathematics: Case studies for the seventeenth, eighteenth, and nineteenth centuries. Oxford: Peter Lang, 2012, vi+187pp, € 35.55, £32.00, $55.95 PB.Amir Alexander - 2013 - Metascience 22 (2):451-453.
  31.  36
    The History of Mathematical Proof in Ancient Traditions.Jochen Brüning - 2015 - Common Knowledge 21 (3):524-525.
  32.  89
    Mathematical Incompleteness Results in First-Order Peano Arithmetic: A Revisionist View of the Early History.Saul A. Kripke - 2021 - History and Philosophy of Logic 43 (2):175-182.
    In the Handbook of Mathematical Logic, the Paris-Harrington variant of Ramsey's theorem is celebrated as the first result of a long ‘search’ for a purely mathematical incompleteness result in first-order Peano arithmetic. This paper questions the existence of any such search and the status of the Paris-Harrington result as the first mathematical incompleteness result. In fact, I argue that Gentzen gave the first such result, and that it was restated by Goodstein in a number-theoretic form.
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  33. History & Mathematics: Trends and Cycles.Leonid Grinin & Andrey Korotayev - 2014 - Volgograd: "Uchitel" Publishing House.
    The present yearbook (which is the fourth in the series) is subtitled Trends & Cycles. It is devoted to cyclical and trend dynamics in society and nature; special attention is paid to economic and demographic aspects, in particular to the mathematical modeling of the Malthusian and post-Malthusian traps' dynamics. An increasingly important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical (...)
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  34.  31
    The Mathematics of the Heavens and the Earth: The Early History of Trigonometry - by Glen van Brummelen.Steven Wepster - 2010 - Centaurus 52 (2):156-157.
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  35.  8
    Nature Mathematized: Historical and Philosophical Case Studies in Classical Modern Natural Philosophy : Papers Deriving from the Third International Conference on the History and Philosophy of Science, Montreal, Canada, 1980.William R. Shea - 1983
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  36.  34
    Jiri Hudecek. Reviving Ancient Chinese Mathematics: Mathematics, History, and Politics in the Work of Wu Wen-Tsun. xii + 210 pp., figs., tables, bibl., index. Abingdon, Oxfordshire: Routledge, 2014. $155. [REVIEW]Karine Chemla - 2016 - Isis 107 (4):894-896.
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  37.  27
    A History of Mathematics: From Mesopotamia to Modernity.Luke Hodgkin - 2005 - Oxford University Press UK.
    A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the (...)
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  38. History & Mathematics: Political Demography and Global Ageing.Leonid Grinin, Jack A. Goldstone & Andrey V. Korotayev (eds.) - 2015 - Uchitel Publishing House.
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  39.  33
    A History of Mathematics in America before 1900David Eugène Smith Jekuthiel Ginsburg.Frederick Brasch - 1935 - Isis 22 (2):553-556.
  40.  58
    The History of Mathematics: A Reader. John Fauvel, Jeremy Gray.David Rowe - 1988 - Isis 79 (2):324-325.
  41.  37
    History of Mathematics. Volume II. Special Topics of Elementary Mathematics. David Eugene Smith.George Sarton - 1926 - Isis 8 (1):221-225.
  42.  30
    The History of Mathematical Time: I.G. Windred - 1933 - Isis 19 (1):121-153.
  43.  27
    The Mathematical Principles underlying Newton's 'Principia Mathematica,' Being the Ninth Gibson Lecture in the History of Mathematics Delivered within the University of GlasgowD. T. Whiteside.Christoph Scriba - 1974 - Isis 65 (1):121-121.
  44.  17
    Mathematics and Logic in History and in Contemporary Thought. [REVIEW]C. L. - 1967 - Review of Metaphysics 21 (1):154-154.
    The author covers the history of logic and mathematics from pre-Hellenic theory forward to Gödel's theorem and metamathematics. A special effort is made to show the co-ordinate development of mathematics and logic, and the grounds for their identification in recent years. The critique of the parallel postulate, and the development of non-Euclidean geometries are dealt with in detail. A good index and an extensive bibliography are provided.—L. C.
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  45.  25
    The History of the History of Mathematics: Case Studies for the Seventeenth, Eighteenth and Nineteenth Centuries. [REVIEW]Tony Mann - 2014 - Intellectual History Review 24 (2):265-267.
    Review of Benjamin Wardhaugh (ed.), The history of the history of mathematics: Case studies for the 17th, 18th and 19th centuries. Oxford: Peter Lang, 2012, vi + 187 pp. (ISBN 978-3034307086).
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  46.  38
    The History of Mathematics from Antiquity to the Present: A Selective BibliographyJoseph W. Dauben.Craig Fraser - 1985 - Isis 76 (4):595-596.
  47. Socio-mathematics and cyclic history.James H. L. Lawler - 1970 - Provo, Utah,: Printed by J. G. Stevenson.
  48.  26
    The History of Mathematical Time: II.G. Windred - 1933 - Isis 20 (1):192-219.
  49.  57
    Mathematical Representations in Science: A Cognitive–Historical Case History.Ryan D. Tweney - 2009 - Topics in Cognitive Science 1 (4):758-776.
    The important role of mathematical representations in scientific thinking has received little attention from cognitive scientists. This study argues that neglect of this issue is unwarranted, given existing cognitive theories and laws, together with promising results from the cognitive historical analysis of several important scientists. In particular, while the mathematical wizardry of James Clerk Maxwell differed dramatically from the experimental approaches favored by Michael Faraday, Maxwell himself recognized Faraday as “in reality a mathematician of a very high order,” and his (...)
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  50.  29
    A History of the Circle: Mathematical Reasoning and the Physical Universe. Ernest Zebrowski, Jr.Paul Nahin - 2001 - Isis 92 (1):130-130.
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