Historiography of Mathematics from the Mathematician’s Point of View [PDF]
, 2021 Mathematicians used to be highly invested in the study of the history of their own field, but their voice in historiographical discussions has diminished in influence in the past century. One prominent narrative paints this as a justified fall from grace: mathematicians wedded to present mathematical values looked at the past with prejudiced eyes ...
Viktor Blåsjö
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Historiography of Mathematics in the Works of Rodolfo Guimarães
Historia Mathematica, 1997 Die Arbeit beschäftigt sich mit den Leistungen des portugiesischen Mathematikhistorikers R. Guimarães, der eine Bibliographie der mathematischen Arbeiten portugiesischen Ursprungs veröffentlichte und sich um die Neuherausgabe der Werke von Pedro Nunes bemühte.
Luis M. R. Saraiva
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T. S. Kuhn's theories and mathematics: A discussion paper on the “new historiography” of mathematics
Historia Mathematica, 1976 AbstractA discussion of the applicability of the concepts of T. S. Kuhn's theory of scientific revolutions, stimulated by the statement by M. J. Crowe of ten “laws” concerning change in the history of mathematics. The concepts “revolution” and “crisis” are rejected, while the concepts centering around the sociology of the scientific community are ...
Herbert Mehrtens
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Remarks on the Historiography of Mathematics
Aestimatio, 2021 : In this paper, I examine aspects of the methodological debate that originated in 2010, when the distinguished historian of mathematics Sabetai Unguru reviewed Roshdi Rashed’s edition of the Arabic translation of Apollonius’ Conics.
Aldo Brigaglia
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The Discipline of History and the “Modern Consensus in the Historiography of Mathematics”
Journal of Humanistic Mathematics, 2014 Michael N Fried
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Mathematics in the archives: deconstructive historiography and the shaping of modern geometry (1837–1852) [PDF]
The British Journal for the History of Science, 2021 AbstractThis essay explores the research practice of French geometer Michel Chasles (1793–1880), from his 1837 Aperçu historique up to the preparation of his courses on ‘higher geometry’ between 1846 and 1852. It argues that this scientific pursuit was jointly carried out on a historiographical and a mathematical terrain.
Nicolas Michel +3 more
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A Critique of the Modern Consensus in the Historiography of Mathematics
Journal of Humanistic Mathematics, 2014 The history of mathematics is nowadays practiced primarily by professional histo-rians rather than mathematicians, as was the norm a few decades ago. There isa strong consensus among these historians that the old-fashioned style of historyis \obsolete," and that \the gains in historical understanding are incomparablygreater" in the more \historically ...
Viktor Blåsjö
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A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography [PDF]
Foundations of Science, 2011 We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy's foundational work associated with the work of ...
Karin U. Katz, Mikhail G. Katz
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Mathematical Reconstructions Out, Textual Studies In : 30 Years in the Historiography of Greek Mathematics [PDF]
Revue d'histoire des mathématiques, 2018 The author describes how the historiography of ancient Greek mathematics, around 1970 seemingly a topic on which everything that could be known (given the source situation) was already known, has returned to new but different life in recent decades. ``With some oversimplification'', the conclusion (p. 139) sums up the changes that characterize this new
Ken Saito
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Historia matheseos. Early development stage history of mathematics, historiography [PDF]
, 2017 This article focuses on evolvement of the history of mathematics as a science and development of its methodology from the 4th century B.C. to the age of Enlightenment.
Galina Sinkevich
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