Year:

  1.  2
    Mathématiques En Perspective: Desargues, la Hire, le Poîvre.Jean-Yves Briend - 2021 - Archive for History of Exact Sciences 75 (6):699-736.
    It is tempting to consider Girard Desagues’ mathematical work, more precisely his Brouillon project on conics, as a work of mathematics applied to perspective. We would like to show in this text that it is probably more pertinent to consider that Desargues does mathematics as a practitionner of the art of perspective. We shall analyse a few extracts of Desargues’ work with this point of view in mind so as to shed light on his innovative ideas that could be hard (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  2.  5
    Fiction, Possibility and Impossibility: Three Kinds of Mathematical Fictions in Leibniz’s Work.Oscar M. Esquisabel & Federico Raffo Quintana - 2021 - Archive for History of Exact Sciences 75 (6):613-647.
    This paper is concerned with the status of mathematical fictions in Leibniz’s work and especially with infinitary quantities as fictions. Thus, it is maintained that mathematical fictions constitute a kind of symbolic notion that implies various degrees of impossibility. With this framework, different kinds of notions of possibility and impossibility are proposed, reviewing the usual interpretation of both modal concepts, which appeals to the consistency property. Thus, three concepts of the possibility/impossibility pair are distinguished; they give rise, in turn, to (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  3.  2
    David Hilbert and the Foundations of the Theory of Plane Area.Eduardo N. Giovannini - 2021 - Archive for History of Exact Sciences 75 (6):649-698.
    This paper provides a detailed study of David Hilbert’s axiomatization of the theory of plane area, in the classical monograph Foundation of Geometry. On the one hand, we offer a precise contextualization of this theory by considering it against its nineteenth-century geometrical background. Specifically, we examine some crucial steps in the emergence of the modern theory of geometrical equivalence. On the other hand, we analyze from a more conceptual perspective the significance of Hilbert’s theory of area for the foundational program (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  4.  2
    A Study of Babylonian Planetary Theory III. The Planet Mercury.Teije de Jong - 2021 - Archive for History of Exact Sciences 75 (5):491-522.
    In this series of papers I attempt to provide an answer to the question how the Babylonian scholars arrived at their mathematical theory of planetary motion. Papers I and II were devoted to system A theory of the outer planets and of the planet Venus. In this third and last paper I will study system A theory of the planet Mercury. Our knowledge of the Babylonian theory of Mercury is at present based on twelve Ephemerides and seven Procedure Texts. Three (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  5.  4
    The Six Books of Diophantus’ Arithmetic Increased and Reduced to Specious: The Lost Manuscript of Jacques Ozanam.Francisco Gómez-García, Pedro J. Herrero-Piñeyro, Antonio Linero-Bas, Ma Rosa Massa-Esteve & Antonio Mellado-Romero - 2021 - Archive for History of Exact Sciences 75 (5):557-611.
    The introduction of a new analytical method, due fundamentally to François Viète and René Descartes and the later dissemination of their works, resulted in a profound change in the way of thinking and doing mathematics. This change, known as process of algebrization, occurred during the seventeenth and early eighteenth centuries and led to a great transformation in mathematics. Among many other consequences, this process gave rise to the treatment of the results in the classic treatises with the new analytical method, (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  6.  1
    Einstein on Involutions in Projective Geometry.Tilman Sauer & Tobias Schütz - 2021 - Archive for History of Exact Sciences 75 (5):523-555.
    We discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  7.  3
    The Gravitational Influence of Jupiter on the Ptolemaic Value for the Eccentricity of Saturn.Christián C. Carman - 2021 - Archive for History of Exact Sciences 75 (4):439-454.
    The gravitational influence of Jupiter on Saturn produces, among other things, non-negligible changes in the eccentricity of Saturn that affect the magnitude of error of Ptolemaic astronomy. The value that Ptolemy obtained for the eccentricity of Saturn is a good approximation of the real eccentricity—including the perturbation of Jupiter—that Saturn had during the time of Ptolemy's planetary observations or a bit earlier. Therefore, it seems more probable that the observations used for obtaining the eccentricity of Saturn were done near Ptolemy’s (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  8.  2
    A Study of Babylonian Records of Planetary Stations.J. M. Steele & E. L. Meszaros - 2021 - Archive for History of Exact Sciences 75 (4):415-438.
    Late Babylonian astronomical texts contain records of the stationary points of the outer planets using three different notational formats: Type S where the position is given relative to a Normal Star and whether it is an eastern or western station is noted, Type I which is similar to Type S except that the Normal Star is replaced by a reference to a zodiacal sign, and Type Z the position is given by reference to a zodiacal sign, but no indication of (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  9.  32
    Hobbes’s Model of Refraction and Derivation of the Sine Law.Hao Dong - 2021 - Archive for History of Exact Sciences 75 (3):323-348.
    This paper aims both to tackle the technical issue of deciphering Hobbes’s derivation of the sine law of refraction and to throw some light to the broader issue of Hobbes’s mechanical philosophy. I start by recapitulating the polemics between Hobbes and Descartes concerning Descartes’ optics. I argue that, first, Hobbes’s criticisms do expose certain shortcomings of Descartes’ optics which presupposes a twofold distinction between real motion and inclination to motion, and between motion itself and determination of motion; second, Hobbes’s optical (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  10.  5
    Correction To: What Heinrich Hertz Discovered About Electric Waves in 1887–1888.Jed Buchwald, Chen-Pang Yeang, Noah Stemeroff, Jenifer Barton & Quinn Harrington - 2021 - Archive for History of Exact Sciences 75 (2):173-173.
    Unfortunately, only after online first article publication, it was noticed that the first four sentences in footnote two were incorrect.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  11.  9
    What Heinrich Hertz Discovered About Electric Waves in 1887–1888.Jed Buchwald, Chen-Pang Yeang, Noah Stemeroff, Jenifer Barton & Quinn Harrington - 2021 - Archive for History of Exact Sciences 75 (2):125-171.
    Among the most influential and well-known experiments of the 19th century was the generation and detection of electromagnetic radiation by Heinrich Hertz in 1887–1888, work that bears favorable comparison for experimental ingenuity and influence with that by Michael Faraday in the 1830s and 1840s. In what follows, we pursue issues raised by what Hertz did in his experimental space to produce and to detect what proved to be an extraordinarily subtle effect. Though he did provide evidence for the existence of (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  12.  5
    Impact of Gibbs’ and Duhem’s Approaches to Thermodynamics on the Development of Chemical Thermodynamics.Photis Dais - 2021 - Archive for History of Exact Sciences 75 (2):175-248.
    From 1873 to 1878, the American physicist Josiah Willard Gibbs offered to the scientific community three great articles that proved to be a milestone for the science of thermodynamics. On the other hand, between 1886 and 1896, the French physicist Pierre Maurice Marie Duhem translated thermodynamics into the language of Lagrange’s analytical mechanics. At the same time, he expanded its scope to include thermal phenomena, electromagnetic phenomena, and all kinds of irreversible processes. Duhem formulated a version of thermodynamics characterized by (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  13.  3
    Maurice Janet’s Algorithms on Systems of Linear Partial Differential Equations.Kenji Iohara & Philippe Malbos - 2021 - Archive for History of Exact Sciences 75 (1):43-81.
    This article describes the emergence of formal methods in theory of partial differential equations in the French school of mathematics through Janet’s work in the period 1913–1930. In his thesis and in a series of articles published during this period, Janet introduced an original formal approach to deal with the solvability of the problem of initial conditions for finite linear PDE systems. His constructions implicitly used an interpretation of a monomial PDE system as a generating family of a multiplicative set (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  14.  3
    An Unpublished Manuscript of John von Neumann on Shock Waves in Boostered Detonations: Historical Context and Mathematical Analysis.Molly Riley Knoedler, Julianna C. Kostas, Caroline Mary Hogan, Harper Kerkhoff & Chad M. Topaz - 2021 - Archive for History of Exact Sciences 75 (1):83-108.
    We report on an unpublished and previously unknown manuscript of John von Neumann and contextualize it within the development of the theory of shock waves and detonations during the nineteenth and twentieth centuries. Von Neumann studies bombs comprising a primary explosive charge along with explosive booster material. His goal is to calculate the minimal amount of booster needed to create a sustainable detonation, presumably because booster material is often more expensive and more volatile. In service of this goal, he formulates (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  15.  22
    On Peirce’s 1878 Article ‘The Probability of Induction’: A Conceptualistic Appraisal.G. A. Kyriazis - 2021 - Archive for History of Exact Sciences 75 (1):1-20.
    Charles Sanders Peirce wrote the article “The probability of induction” in 1878. It was the fourth article of the series “Illustrations of the Logic of Science” which comprised a total of six articles. According to Peirce, to get a clear idea of the conception of probability, one has ‘to consider what real and sensible difference there is between one degree of probability and another.’ He endorsed what John Venn had called the ‘materialistic view’ of the subject, namely that probability is (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  16. On the Making of Ptolemy’s Star Catalog.Christian Marx - 2021 - Archive for History of Exact Sciences 75 (1):21-42.
    The assumption that Ptolemy adopted star coordinates from a star catalog by Hipparchus is investigated based on Hipparchus’ equatorial star coordinates in his Commentary on the phenomena of Aratus and Eudoxus. Since Hipparchus’ catalog was presumably based on an equatorial coordinate system, his star positions must have been converted into the ecliptical system of Ptolemy’s catalog in his Almagest. By means of a statistical analysis method, data groups consistent with this conversion of coordinates are identified. The found groups show a (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  17.  4
    Before the End of an Error: Giovanni Bianchini’s Original Flawed Treatise on the Conversion of Stellar Coordinates.Glen Van Brummelen - 2021 - Archive for History of Exact Sciences 75 (1):109-124.
    In my 2018 article in this journal, I described 15th-century Italian astronomer Giovanni Bianchini’s treatment of the problem of stellar coordinate conversion in his Tabulae primi mobilis, the first correct European solution. In this treatise Bianchini refers to a book he had written previously, containing the same error that had plagued his predecessors’ work on the problem. In this article, we announce the discovery of this earlier treatise. We compare its canons and tables to Bianchini’s later work, noting the places (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
 Previous issues
  
Next issues