|
Unpublished |
pdf
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"Euclid’s II.5 between Pure Geometry and Geometrical Algebra: A Guided Tour Spanning Twenty-Two Centuries ",
Unpublished Manuscript (Not for quotation) |
pdf
|
"On the History of Fermat's Last Theorem: A Down-to-Earth Approach",
Unpublished Manuscript (Not for quotation) |
pdf
|
"How Useful is the Term
‘Modernism’ for Understanding the History of Early Twentieth-Century
Mathematics?", in Moritz Epple and Falk Mueller (eds.) Modernism in the
Sciences, ca. 1900-1940, Berlin, Akademie Verlag (Forthcoming).
|
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2020 |
pdf
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"Five Years as Dean - Texts and Thoughts",(English and Hebrew)
רוח וצלצולים
מבחר טקסטים ודברי ברכה - עם תום תקופה של חמש שנים בתפקיד
דקאן הפקולטה למדעי הרוח
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2018 |
pdf
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"Mie’s Electromagnetic Theory of Matter and the Background to Hilbert’s Unified Foundations of Physics" in Joseph Kouneiher (ed.) Foundations of Mathematics and Physics One Century After Hilbert - New Perspectives, New York, Springer (2018): 75-96. (Parts of this article appeared in my previous work on Hilbert, and particularly in this publication.)
|
pdf
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"Hilbert's 6th Problem: Between the Foundations of Geometry and the Axiomatization of Physics",
Philosophical Transactions of the Royal
Society (A), 376 (2118); 28 April 2018.
|
pdf
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"Creating a Modern Hebrew Language for Mathematics", Forthcoming in: Nitsa Movshovitz-Hadar (ed.)
K-12 Mathematics Education in Israel. Issues and Innovations, pp. 319-326.
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2017 |
pdf
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"Steht es alles wirklich schon bei Dedekind? Ideals and factorization between Dedekind and Noether", in Katrin Scheel, Thomas Sonar and Peter Ullrich (eds.) In Memoriam Richard Dedekind (1831-1916) Münster, Verlag für wissenschaftliche Texte und Medien (2017), pp. 134-159.
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ACM site
pdf
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"From the Universal Turing Machine to Turing's Analog Computer: Father of the Modern Computer?", Communications of the ACM Vol. 60 (8), August 2017, pp. 50-58. (DOI: http://dl.acm.org/citation.cfm?id=3104032)
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2016 |
pdf
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"Distributivity-like Results in the Medieval Traditions of Euclid's Elements: Between Geometry and Arithmetic", Mathesis Ser. V, Vol. 1 (2), (Jul. Dec. 2016).
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pdf
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"Some distributivity-like results in the the medieval arithmetic of Jordanus Nemorarius and Campanus de Novara", Historia Mathematica 43 (2016), 310–331. (DOI: http://dx.doi.org/10.1016/j.hm.2016.06.001)
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pdf
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"Mathematical Fiction and the Prosaic Dangers of Salgarism", in M. Emmer, M. Abate, M. Falcone, M. Villarreal (eds.) Imagine Maths 5, Unione Matematica Italiana, UMI, Bologna and Istituto Veneto di Scienze, Lettere ed Arti, Venice (2016), pp. 57-73.
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2015 |
|
"And the prize for supporting role goes to ... mathematics",
Alaxon (June 2015)
ובתפקיד המשנה: המתמטיקה אלכסון (Hebrew, abdridged version of this text) |
|
2013 |
pdf
Review
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"Geometry and Arithmetic in the Medieval Traditions of Euclid's Elements: a View from Book II",
Archive for History of Exact Sciences, 67(6) (2013): 637-705 |
|
2011 |
pdf
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"Berechnungen zur Grenze der poetischen Freiheit. Fiktionales Erzählen und die Geschichte der Mathematik", in Andrea Albrecht et al (eds.) Zahlen, Zeichen und Figuren
Mathematische Inspirationen in Kunst und Literatur, Berlin: De Gruyter (2011), pp. 564-599. (German Translation of this text.)
|
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2010 |
pdf
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"Science in an Israeli Context: Case Studies. Introduction", (with Tal Golan)
Science in Context, 23 (4) (2010): 393-394. |
pdf
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"Zionist Internationalism through Number Theory:
Edmund Landau at the Opening of the Hebrew University in 1925", (with Norbert Schappacher)
Science in Context, 23 (4) (2010): 427-471. |
pdf
html
|
"Hunting Prime Numbers from Human to Electronic Computers",
The Rutherford Journal - The New Zealand Journal for the History and Philosophy of Science and Technology (rutherfordjournal.org), Vol. 3 (2010) |
pdf
|
"On the History of Fermat’s Last Theorem:
Fresh Views on an Old Tale", Mathematische Semesterberichte 57 (1) (2010):
123-138. DOI 10.1007/s00591-010-0068-4 |
|
2009 |
pdf
|
"Mathematical Motifs in Borges' Writings: On the Uses and Abuses of Interpretation",
Odissey (Hebrew) Vol. 4 (2009)
sמוטיבים מתמטיים ביצירתו של בורחס – על פרשנות והפרזותיה
אודיסאה - מסע בין רעיונות
|
pdf
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"Writing the Ultimate Mathematical Textbook: Nicolas Bourbaki’s Éléments de mathématique",
in Eleanor Robson et al (eds.) Handbook of the History of Mathematics, Oxford, Oxford University Press (2009), 565-587. |
|
2008 |
pdf
|
"The Development of the Idea of Proof up to 1900". In: Tim Gowers (ed.) The
Princeton Companion to Mathematics, Princeton, Princeton University
Press (2008), 129-142 |
pdf
|
"Number Crunching vs. Number Theory: Computers and FLT from Kummer to SWAC (1850-1960), and beyond",
Archive for History of Exact Science 62(1) (2008): 393-455 |
pdf
review
|
"FLT Meets SWAC: Vandiver, the Lehmers, Computers and Number Theory (1930-1956)",
Annals of the History of Computing 30 (1) (2008): 38-49 |
|
2007 |
html/
pdf
|
"Calculating the Limits of Poetic License: Fictional Narrative and the
History of Mathematics",
Configurations 15 (3) (2007), 195-226. (German translation: "Berechnungen zur Grenze der poetischen Freiheit. Fiktionales Erzählen und die Geschichte der Mathematik", in Andrea Albrecht et al (eds.) Zahlen, Zeichen und Figuren
Mathematische Inspirationen in Kunst und Literatur, Berlin: De Gruyter (2011), pp. 564-599.)
|
pdf
|
"Axiomatics between Hilbert and the New Math: Diverging Views on Mathematical Research and their Consequences on Education",
International Journal for the History of Mathematics Education 2 (2): (2007): 21-37 |
pdf
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"On Borges and Fritz Mauthner", Preface to the Hebrew Edition of Siete Noches, by Jorge Luis Borges (Hebrew Translation and Comments by Ori Preuss)
- שבעה לילות Tel-Aviv, Hakibbutz Hameuhad (2007) |
pdf
|
"A Clash of Mathematical Titans in Austin: Robert Lee Moore and Harry Schultz Vandiver (1924-1974)”,
Mathematical Intelligencer 29 (4), 62-74 (2007) |
pdf
|
"Fermat Comes to America: Harry Schultz Vandiver and FLT (1914-1964)”,
Mathematical Intelligencer 29 (3), 30-40 (2007) |
pdf
|
"Albert Einstein and
Relativity: One Hundred Years of History - One Hundred years of
Historiography" (Hebrew),
Zmanim - Quarterly Journal of History, Tel-Aviv, 71 (2007): 58-69
אלברט אינשטיין ותורת היחסות: מאה
שנים של היסטוריה - מאה שנים של היסטוריוגרפיה,
זמנים
|
pdf
|
"From Algebra (1895) to Moderne Algebra (1930): Changing Conceptions of
a Discipline. A Guided Tour Using the Jahrbuch über die Fortschritte der
Mathematik",
in J. Gray and K.H. Parshall (eds.),
Episodes in the History of Modern Algebra,
Providence, American Mathematical Society / London Mathematical Society
(2007), 80-105.
|
|
2006 |
pdf |
"El Teorema de Fermat y sus Historias", Gaceta de la Real Sociedad Matemática
Española 9 (2), 387-424 (2006). |
pdf
|
"On the Origins of Hilbert’s 6th
Problem: Physics and the Empiricist Approach to Axiomatization". In Marta
Sanz-Solé et al (eds.), Proceedings of the
International Congress of Mathematicians, Madrid 2006, Vol. 3, Zurich,
European Mathematical Society (2006), 1679-1718. |
pdf
|
"The Origin of Hilbert's Axiomatic Method".
In: Jürgen Renn et al (eds.).
The Genesis of General Relativity, Vol. 4
Theories of Gravitation in the Twilight of Classical Physics:
The Promise of Mathematics and the Dream of a Unified Theory, New
York, Springer (2006), 139-236. |
pdf
|
"Axiomatics, Empiricism, and Anschauung in Hilbert´s Conception
of Geometry: Between Arithmetic and General Relativity". In:
Jeremy Gray and José Ferreirós (eds.) The Architecture of Modern
Mathematics: Essays in History and Philosophy, Oxford, Oxford University
Press (2006), 155-176. |
|
2005 |
pdf |
"History of Algebra". In: Encyclopaedia Britannica
(2005). [Also available in
web
version] |
pdf
|
"Jorge Borges: Author of 'The Name of the Rose’", in Nicholas Gane and
Mike Gane (eds.), in
Umberto Eco (3 Vols.), London, Sage (Masters in Modern Social
Thought Series) (2005), Vol. 2: 389-406. [Originally published in Poetics
Today 13: 425-445 (1992)] |
pdf
|
"Science in Latin-American Contexts. An Introduction",
Science in Context 18 (2): 174-178. (2005). |
|
2004 |
pdf
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"The Emergence of the Structural Conception in Algebra", in Sandro Petruccioli (ed.) Storia della scienza,
Roma, Istituto della Encyclopedia Italiana (2004), Vol. VIII, 193-198. |
pdf
|
"Fermat's Last Theorem: How Does a Marginal Remark Turn into an
Important Mathematical Question? Or Does it?", (Hebrew)
Galileo. Israeli Journal for Science and Ecology (2004). |
pdf
|
"The History of Modern Mathematics – Writing and Re-Writing",
Science in Context 17 (1-2) (2004), 1-21. |
pdf
|
"Heinrich Weber’s Lehrbuch der Algebra", in I. Grattan-Guinness et al.
(eds.)
Landmark Writings In Western Mathematics, 1640-1940, Amsterdam,
Elsevier Science. (2004) |
|
2003 |
pdf
html
|
"Algunas Ideas Científicas en la Obra de Jorge Luis Borges y su Contexto
Histórico", in
Borges en Jerusalén, Myrna Solotorevsky and Ruth Fine (eds.),
Frankfurt am Main, Vervuert/Iberoamericana (2003), 49-74. |
pdf
|
"Theory of Invariants", in Sandro Petruccioli (ed.) Storia della scienza,
Roma, Istituto della Encyclopedia Italiana (2003), Vol. VII, 1025-1029. |
|
2000-2002 |
pdf
|
"David Hilbert y su Filosofía Empiricista de la Geometría", Boletín
de la Asociación Matemática Venezolana, 9 (1) (2002), 27-44. |
pdf
|
"Mathematical Structures from Hilbert to Bourbaki: The Evolution of an
Image of Mathematics", in A. Dahan and U. Bottazzini (eds.) Changing
Images of Mathematics in History. From the French Revolution to the new
Millenium, London, Harwood Academic Publishers (2001), 167-186. |
html
|
Preface to the new Hebrew Edition of Flatland, E.E. Abbott
(Hebrew Translation by Lia Nirgad)
- מישוריה
Tel-Aviv, Babel Publishers (2000).
|
pdf
|
"The Origins of the Definition of Abstract Rings", Gazette des
Mathématiciens, 83 (Janvier 2000), 28-47. (Reprint: Modern Logic,
8 (1-2), 1998-2000: 5-27.) |
|
"Relativity and Mathematics", in
The History of Mathematics from Antiquity to the Present: A Selective
Bibliography, Edited by Joseph W. Dauben, Revised Edition on CD-ROM,
Albert C. Lewis in Cooperation with the International Comission on the
History of Mathematics, Providence, The American Mathematical Society
(2000). |
pdf
|
"The Empiricist Roots of Hilbert’s Axiomatic Method", in Vincent F.
Hendricks et al. (eds.)
Proof Theory: History and Philosophical Significance, Dordrecht, Kluwer
(2000): 35-54. |
|
1999 |
pdf
|
"David Hilbert: Geometry and Physics: 1900-1915", in J.J. Gray (ed.)
The Symbolic Universe: Geometry and Physics (1890-1930),
Oxford, Oxford University Press (1999): 145-188. |
pdf
review
|
"David Hilbert between Mechanical and Electromagnetic Reductionism,
1910-1913",
Archive for History of Exact Sciences 53 (6): 489-527 (1999) |
pdf
|
"From Mie's Electromagnetic Theory of Matter to Hilbert's Foundations of
Physics"
Studies in History and Philosophy of Modern Physics
30(2): 159-183 (1999). (Parts of this article are reprinted, within abroader context and with updates, in Joseph Kouneiher (ed.) Foundations of Mathematics and Physics One Century After Hilbert - New Perspectives, New York, Spriner (2018): 75-96.) |
html
|
"Jewish Mathematicians in Göttingen (1895-1933)" (Hebrew),
Zmanim - Quarterly Journal of History, Tel-Aviv, 66: 91-101
מתמטיקאים יהודיים בגטינגן: 1895-1933 זמנים ,
66: 91-101. |
|
1998 |
pdf
review
|
"Hilbert on Kinetic Theory and Radiation Theory (1912-1914)",
Mathematical Intelligencer 20 (3): 52-58 (1998) 30(2): 159-183 (1999). |
pdf
|
"Einstein, Hilbert y la Teoría General de la Relatividad",
Investigación y Ciencia 206 (Nov. 1998): 28-34. |
pdf
|
"Los 23 Problemas de Hilbert y su Trasfondo Histórico", Boletín de la
Asociación Matemática Venezolana5 (2) (1998). |
pdf
|
"The Influence of David Hilbert and Hermann Minkowski on Einstein's
Views over the Interrelation between Physics and Mathematics", Endeavour
22(3): 95-97 (1998). |
pdf
|
"The Origins of Eternal Truth in Modern Mathematics: Hilbert to Bourbaki
and Beyond",
Science in Context, 12: 137-183 (1998). |
pdf
review
|
"Belated Decision in the Hilbert-Einstein
Priority Dispute" (with Jürgen Renn and John Stachel),
Science 278: 1270-1273 (Nov. 14, 1998).
* This article generated an
intense debate which led to many publications and responses |
|
1997 |
pdf
review
|
“Hermann Minkowski and the Postulate of Relativity”,
Archive for History of Exact Sciences
51: 281-314 (1997). Reprinted in: Vesselin Petkov (ed.),
Minkowski Spacetime: A Hundred Years Later, New York, Springer (2010), pp. 3-42. |
pdf
review
|
“David Hilbert and the Axiomatization of Physics (1894-1905)”,
Archive for History of Exact Sciences 51: 89-197 (1997). |
|
1985-1996 |
pdf
|
“Paradigms and Images in the History of Mathematics” in E. Ausejo and M.
Hormigon (eds). Paradigms and Mathematics, Madrid, Siglo XXI (1996):
169-192. |
pdf
|
“Axiomática Moderna y Algebra Estructural en la Obra de David Hilbert”,
Mathesis 12: 1-56 (1996). (Also available in
French translation) |
pdf
|
“La Teoría de las Proporciones de Eudoxio Vista por Dedekind”,
Mathesis10: 35-68 (1994). |
html
|
“Carpentier, Alejo”, Encyclopaedia Hebraica, Supplementary Vol.
3, p. 960 (1994)
אלחו קרפנטייר", האנציקלופדיה העברית כרך מילואים ג - תשנ"ה" |
html
|
“Vargas Llosa, Mario”, Encyclopaedia Hebraica, Supplementary Vol.
3, p. 365 (1994)
מריו וארגס יוסה", האנציקלופדיה העברית כרך מילואים ג - תשנ"ה" |
pdf
|
“Kuhnian Issues, Scientific Revolutions and the History of Mathematics”,
Studies in History and Philosophy of Science 24: 95-117 (1993) |
pdf
review
|
“Nicolas Bourbaki and the Concept of Mathematical Structure”,
Synthese 92: 315-348 (1992) |
pdf
|
“Libros de Texto e Imágenes del Algebra en el Siglo XIX”, Llull
14: 7-30 (1991). |
pdf
|
“Reflexive Thinking in Mathematics: Formal and Non-formal Aspects”, in
A. Diez et al (eds.) Proceedings of the Symposium on Structures in
Mathematical Theories, San Sebastian (1990): 383-389. |
pdf
|
“Linearity and Reflexivity in the Growth of Mathematical Knowledge”
Science in Context 3: 409-440 (1989). |
html
|
“The Splitting Data of Cohomology Classes”, Archiv der Mathematik
44: 418-423 (1985) |