63 found
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  1.  7
    Fifteen Years of the History of Science in Europe: Personal Reflections by the ESHS Presidents.Koen Vermeir, Claude Debru, Robert Fox, Eberhard Knobloch, Helge Kragh, Soňa Štrbáňová, Fabio Bevilacqua, Karine Chemla & Antoni Malet - 2018 - Centaurus 60 (1-2):104-123.
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  2.  82
    Leibniz's Rigorous Foundation of Infinitesimal Geometry by Means of Riemannian Sums.Eberhard Knobloch - 2002 - Synthese 133 (1-2):59 - 73.
    In 1675, Leibniz elaborated his longest mathematical treatise he everwrote, the treatise ``On the arithmetical quadrature of the circle, theellipse, and the hyperbola. A corollary is a trigonometry withouttables''. It was unpublished until 1993, and represents a comprehensive discussion of infinitesimalgeometry. In this treatise, Leibniz laid the rigorous foundation of thetheory of infinitely small and infinite quantities or, in other words,of the theory of quantified indivisibles. In modern terms Leibnizintroduced `Riemannian sums' in order to demonstrate the integrabilityof continuous functions. The (...)
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  3.  1
    Euler and D’Alembert — Brothers Only in Mind.Eberhard Knobloch - 2018 - Acta Baltica Historiae Et Philosophiae Scientiarum 6 (2):106-126.
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  4.  7
    Alexander von Humboldt?The Explorer and the Scientist.Eberhard Knobloch - 2007 - Centaurus 49 (1):3-14.
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  5.  48
    The Knowledge of Arabic Mathematics by Clavius.Eberhard Knobloch - 2002 - Arabic Sciences and Philosophy 12 (2):257-284.
    The article deals with the Arabic sources of Chr. Clavius in Rome and the six different ways they were used by him in mathematics and astronomy. It inquires especially into his attitude towards al-Farghani, Thabit ibn Qurra, al-Bi[tdotu]ruji, Ibn Rushd, Mu[hdotu]ammad al-Baghdadi, Pseudo-Ibn al-Haytham, Jabir ibn Afla[hdotu], and Pseudo-al-[Tuotu]usi.
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  6.  5
    Musurgia Universalis: Unknown Combinatorial Studies in the Age of Baroque Absolutism.Eberhard Knobloch - 1979 - History of Science 17 (4):258-275.
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  7.  8
    Leonhard Euler AlS Theoretiker.Eberhard Knobloch - 2010 - In Wladimir Velminski & Horst Bredekamp (eds.), Mathesis & Graphe: Leonhard Euler Und Die Entfaltung der Wissensysteme. Akademie Verlag. pp. 19-36.
  8.  25
    „die Gesamte Philosophie Ist Eine Neuerung In Alter Unkenntnis” Johannes Keplers Neuorientierung Der Astronomie Um 1600†.Eberhard Knobloch - 1997 - Berichte Zur Wissenschaftsgeschichte 20 (2-3):135-146.
    Johannes Kepler belonged to a long tradition of inquiring into nature with reference to God. This applies to Ptolemy, N. Copernicus, Chr. Clavius. Kepler's „new kind of poem” is analyzed in five sections which are based on Keplerian key words: Innovation, Hypothesis, Cause, Soul, Picture. Kepler consciously adhered to new questions, new answers, new methods. He relied on a new notion of hypothesis. His celestial dynamics included a celestial psychology whereby he used a visual conception of astronomy.
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  9.  19
    Gottfried Wilhelm Leibniz: Mathematischer, naturwissenschaftlicher und technischer Briefwechsel. 4. Band: Juli 1683–1690. Bearbeitet von Heinz-Jürgen Hess, James G. O'Hara, Herbert Breger. Berlin: Akademie Verlag 1995. LXVI, 748 Seiten und Korrespondenzverzeichnis von 59 Seiten. DM 490. [REVIEW]Eberhard Knobloch - 1997 - Berichte Zur Wissenschaftsgeschichte 20 (4):332.
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  10.  15
    Einfluß der Symbolik und des Formalismus auf die Entwicklung des mathematischen Denkens†.Eberhard Knobloch - 1980 - Berichte Zur Wissenschaftsgeschichte 3 (1-2):77-94.
    The object of this article is the study of possibilities and tendencies arising from the use of symbolic language including signs, characters, and symbols in mathematics. Five aspects are discussed: compactness and simultaneity, problem-solving and generalizations, heuristics and progress, mechanisms and calculations, formalism. This is done primarily by looking at three disciplines, which at the same time are of fundamental importance to theoretical physics: classical algebra, calculus, and vector analysis.Mathematical achievements and statements by eminent mathematicians from antiquity to the present (...)
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  11.  4
    Analogie und mathematisches Denken†.Eberhard Knobloch - 1989 - Berichte Zur Wissenschaftsgeschichte 12 (1):35-47.
    This article deals with six aspects of analogical thinking in mathematics: 1. Platonism and continuity principle or the “geometric voices of analogy” , 2. analogies and the surpassing of limits, 3. analogies and rule stretching, 4. analogies and concept stretching, 5. language and the art of inventing, 6. translation, or constructions instead of discovery. It takes especially into account the works of Kepler, Wallis, Leibniz, Euler, and Laplace who all underlined the importance of analogy in finding out new mathematical truth. (...)
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  12. La science de la grandeur extensive. La « lineale Ausdehnungslehre », coll. « Sciences dans l'histoire ».Hermann Günther Grassmann, Dominique Flament, Bernd Bekemeier, Eberhard Knobloch & Albert Blanchard - 1995 - Revue Philosophique de la France Et de l'Etranger 185 (3):361-362.
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  13.  4
    Generality and Infinitely Small Quantities in Leibniz’s Mathematics - The Case of His Arithmetical Quadrature of Conic Sections and Related Curves.Eberhard Knobloch - 2008 - In Douglas Jesseph & Ursula Goldenbaum (eds.), Infinitesimal Differences: Controversies Between Leibniz and His Contemporaries. Walter de Gruyter.
  14.  9
    Analogy and the Growth of Mathematical Knowledge.Eberhard Knobloch - 2000 - In Emily Grosholz & Herbert Breger (eds.), The Growth of Mathematical Knowledge. Kluwer Academic Publishers. pp. 295--314.
  15. Akten des II. Internationalen Leibniz-Kongresses, Hannover, 17. - 22. Juli 1972, Bd. II: Wissenschaftstheorie und Wissenschaftsgeschichte. [REVIEW]Eberhard Knobloch - 1980 - Studia Leibnitiana 12:283.
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  16.  6
    Armin Gerl: Trigonometrisch-astronomisches Rechnen kurz vor Copernicus. Der Briefwechsel Regiomontanus-Bianchini. Stuttgart: Franz Steiner Verlag 1989.Eberhard Knobloch - 1991 - Berichte Zur Wissenschaftsgeschichte 14 (2):106.
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  17. Analyticité, Équipollence Et Théorie des Courbes Chez Leibniz.Eberhard Knobloch - 2015 - In David Rabouin, Philip Beeley & Norma B. Goethe (eds.), G.W. Leibniz, Interrelations Between Mathematics and Philosophy. Springer Verlag.
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  18.  9
    Antikenrezeption und die wissenschaftliche Welt der Renaissance - am Beispiel der Astronomie.Eberhard Knobloch - 2000 - Berichte Zur Wissenschaftsgeschichte 23 (2):115-125.
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  19.  5
    Anmerkungen Zu den Reihen VII Und VIII der Leibniz-Edition.Eberhard Knobloch - 2012 - In Wenchao Li (ed.), Komma Und Kathedrale: Tradition, Bedeutung Und Herausforderung der Leibniz-Edition. De Gruyter. pp. 95-114.
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  20.  6
    Corpus der Italienischen Zeichnungen, 1300-1450. Volume I: Addenda Zu Sudund Mittelitalien. Part 4: Katalog 717-719: Mariano Taccola by Bernhard Degenhardt; Annegrit Schmitt; Hans-Joachim Eberhardt. [REVIEW]Eberhard Knobloch - 1984 - Isis 75:789-790.
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  21.  3
    Corpus der italienischen Zeichnungen, 1300-1450. Volume I: Addenda zu Sudund Mittelitalien. Part 4: Katalog 717-719: Mariano Taccola. Bernhard Degenhardt, Annegrit Schmitt, Hans-Joachim Eberhardt. [REVIEW]Eberhard Knobloch - 1984 - Isis 75 (4):789-790.
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  22.  17
    Christiane L. Joost-Gaugier. Pythagoras and Renaissance Europe: Finding Heaven. Xix + 319 Pp., Illus., Bibl., Index. New York: Cambridge University Press, 2009. $90. [REVIEW]Eberhard Knobloch - 2010 - Isis 101 (4):869-869.
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  23. Commentary on Bowen 2003.Eberhard Knobloch - 2008 - Centaurus 50 (1-2):205-205.
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  24.  15
    Die entscheidende Abhandlung von Leibniz zur Theorie linearer Gleichungssysteme.Eberhard Knobloch - 1972 - Studia Leibnitiana 4 (3/4):163 - 180.
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  25.  15
    Déterminants Et Élimination Chez Leibniz / Determinants and Elimination in Leibniz.Eberhard Knobloch - 2001 - Revue d'Histoire des Sciences 54 (2):143-164.
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  26.  3
    Die Leibniz’Sche Akademiekonzeption.Eberhard Knobloch - 2018 - In Herta Nagl-Docekal (ed.), Leibniz Heute Lesen: Wissenschaft, Geschichte, Religion. De Gruyter. pp. 143-160.
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  27. Die Mathematischen Studien von G.W. Leibniz Zur Kombinatorik Auf Grund Fast Ausschliesslich Handschriftlicher Aufzeichnungen Dargelegt Und Kommentiert.Eberhard Knobloch - 1973 - F. Steiner.
  28.  9
    Elements de Geometrie by G. P. De Roberval; Vincent Jullien. [REVIEW]Eberhard Knobloch - 1998 - Isis 89:540-541.
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  29.  11
    Elements de Geometrie. G. P. De Roberval, Vincent Jullien.Eberhard Knobloch - 1998 - Isis 89 (3):540-541.
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  30.  19
    Erkundung Und Erforschung: Alexander Von Humboldts Amerikareise.Eberhard Knobloch - 2006 - Poiesis and Praxis 4 (4):267-287.
    Ähnlich wie Adalbert Stifters Erzähler im Roman ,,Nachsommer” verband A. v. Humboldt auf seiner Amerikareise Erkundung und Erforschung, Reiselust und Erkenntnisstreben. Humboldt hat sein doppeltes Ziel klar benannt: Bekanntmachung der besuchten Länder, Sammeln von Tatsachen zur Erweiterung der physikalischen Geographie. Der Aufsatz ist in fünf Abschnitte gegliedert: Anliegen, Route, Methoden, Ergebnisse, Auswertung.
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  31.  2
    Euler-Kolloquium vom 12. bis 14. Mai 1983 in Berlin.Eberhard Knobloch - 1984 - Berichte Zur Wissenschaftsgeschichte 7 (1):56-58.
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  32. Galileo and Leibniz: Different Approaches to Infinity.Eberhard Knobloch - 1999 - Archive for History of Exact Sciences 54 (2):87-99.
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  33. G.W. Leibniz, Interrelations Between Mathematics and Philosophy.Eberhard Knobloch (ed.) - 2015 - Springer Verlag.
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  34.  2
    Georg Schuppener: Jesuitische Mathematik in Prag im 16. und 17. Jahrhundert . Leipzig: Leipziger Universitätsverlag 1999. 220 Seiten. [REVIEW]Eberhard Knobloch - 2001 - Berichte Zur Wissenschaftsgeschichte 24 (3):230.
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  35.  5
    Gottfried Wilhelm Leibniz, Mathematische Schriften, Geometrie--Zahlentheorie--Algebra 1672-1676.Eberhard Knobloch & Walter S. Contro - 1994 - Noûs 28 (1):128-132.
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  36.  9
    Henk J. M. Bos. Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction. 470 Pp., Illus., Bibl., Indexes. New York/Berlin/Heidelberg: Springer Verlag, 2001. €129.95. [REVIEW]Eberhard Knobloch - 2005 - Isis 96 (3):431-432.
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  37.  5
    Hubertus L. L. Busard: Jordanus de Nemore, De elementis arithmetice artis. A medieval treatise on number theory. Stuttgart: Franz Steiner Verlag 1991. 2 Bde: 372 und 188 Seiten. [REVIEW]Eberhard Knobloch - 1993 - Berichte Zur Wissenschaftsgeschichte 16 (3-4):202.
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  38.  28
    Kaspar Schott’s “Encyclopedia of All Mathematical Sciences”.Eberhard Knobloch - 2011 - Poiesis and Praxis 7 (4):225-247.
    In 1661, Kaspar Schott published his comprehensive textbook Cursus mathematicus in Würzburg for the first time, his Encyclopedia of all mathematical sciences. It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and numerous tables. He wanted to avoid the shortness and the unintelligibility of his predecessors Alsted and Hérigone. He cited or recommended far more than hundred authors, (...)
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  39.  3
    La connaissance des mathematiques arabes par Clavius.Eberhard Knobloch - 2002 - Arabic Sciences and Philosophy 12 (2):257-284.
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  40.  5
    Le Continu Et Autres Ecrits by Hermann Weyl; Jean Largeault. [REVIEW]Eberhard Knobloch - 1996 - Isis 87:744-744.
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  41.  15
    Le continu et autres ecritsHermann Weyl Jean Largeault.Eberhard Knobloch - 1996 - Isis 87 (4):744-744.
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  42.  12
    Leonhard Eulers Mathematische Notizbücher.Eberhard Knobloch - 1989 - Annals of Science 46 (3):277-302.
    Der Aufsatz gibt einen Überblick über Eulers zwölf bisher unveröffentlichte mathematische Notizbücher, die im Archiv der Akademie der Wissenschaften der UdSSR, Leningrad, aufbewahrt werden. Sie bestehen aus rund 2300 Blatt und behandeln in äußerst unsystematischer Weise alle mathematischen Themen, Naturwissenschaften, und einige andere Fragen. Im Aufsatz werden die erörterten Themen in systematischer Reihenfolge vorgestellt.The article gives an account of Euler's twelve mathematical notebooks, unpublished to date, that are in the archives of the Soviet Academy of Sciences in Leningrad. The folios, (...)
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  43.  11
    La Révolution Symbolique: La Constitution de L’Écriture Symbolique Mathématique. [REVIEW]Eberhard Knobloch - 2007 - Isis 98:173-174.
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  44.  5
    Leibnizens Studien zur Theorie der symmetrischen Funktionen.Eberhard Knobloch - 1973 - Centaurus 17 (4):280-294.
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  45.  9
    „Mathematik ist musik“: Leonhard euler erklärt den zauber der zahlen.Eberhard Knobloch - 2010 - In Wladimir Velminski & Horst Bredekamp (eds.), Mathesis & Graphe: Leonhard Euler Und Die Entfaltung der Wissensysteme. Akademie Verlag. pp. 258-264.
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  46.  9
    Michel Serfati. La Révolution Symbolique: La Constitution de L’Écriture Symbolique Mathématique. Foreword by, Jacques Bouveresse. Ix + 427 Pp., Illus., Bibl. Paris: Éditions Pétra, 2005. [REVIEW]Eberhard Knobloch - 2007 - Isis 98 (1):173-174.
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  47. Norberto cuesta dutari: Historia de la invencion de analisis infinitesimal Y de su introduccion en españa. [REVIEW]Eberhard Knobloch - 1986 - Studia Leibnitiana 18:113.
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  48.  9
    Otto von Guericke und die Kosmologie im 17.?Jahrhundert.Eberhard Knobloch - 2003 - Berichte Zur Wissenschaftsgeschichte 26 (4):237-250.
    Otto von Guericke's scientific method was based on reason and experimental science. His cosmology was embedded in theology and can be interpreted as a refutation of Descartes's worldview. He used Nicolaus Cusanus's theory of quantities in order to characterize the space. The notion of space has to be distinguished from that of world or heaven. Forces play a crucial role in this respect described by Kircher in his ‘Celestial journey’. Guericke read this work very diligently. In spite of some obvious (...)
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  49.  10
    Pythagoras and Renaissance Europe: Finding Heaven. [REVIEW]Eberhard Knobloch - 2010 - Isis 101:869-869.
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  50.  19
    Progrès et tâches futures de la recherche leibnizienne en mathématiques.Eberhard Knobloch - forthcoming - Les Etudes Philosophiques.
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