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  1.  21
    The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
    An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.
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  2. The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations.Reviel Netz - 2004 - Cambridge University Press.
    The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized (...)
     
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  3.  13
    Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic.Reviel Netz - 2009 - Cambridge University Press.
    This book represents a new departure in science studies: an analysis of a scientific style of writing, situating it within the context of the contemporary style of literature. Its philosophical significance is that it provides a novel way of making sense of the notion of a scientific style. For the first time, the Hellenistic mathematical corpus - one of the most substantial extant for the period - is placed centre-stage in the discussion of Hellenistic culture as a whole. Professor Netz (...)
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  4.  29
    Aristotle’s Three Logical Figures: A Proposed Reconstruction.Reviel Netz - 2022 - Phronesis 68 (1):62-77.
    Based on the evidence of the likely near-contemporary mathematical practice of diagrams, this article proposes a possible reconstruction of Aristotle’s three figures as introduced in Prior Analytics 1.4–6.
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  5. Were There Epicurean Mathematicians.Reviel Netz - 2015 - Oxford Studies in Ancient Philosophy 49:283-319.
  6.  10
    Scale, Space, and Canon in Ancient Literary Culture.Reviel Netz - 2020 - Cambridge University Press.
    Greek culture matters because its unique pluralistic debate shaped modern discourses. This ground-breaking book explains this feature by retelling the history of ancient literary culture through the lenses of canon, space and scale. It proceeds from the invention of the performative 'author' in the archaic symposium through the 'polis of letters' enabled by Athenian democracy and into the Hellenistic era, where one's space mattered and culture became bifurcated between Athens and Alexandria. This duality was reconfigured into an eclectic variety consumed (...)
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  7.  31
    Linguistic formulae as cognitive tools.Reviel Netz - 1999 - Pragmatics and Cognition 7 (1):147-176.
    Ancient Greek mathematics developed the original feature of being deductive mathematics. This article attempts to give a explanation f or this achievement. The focus is on the use of a fixed system of linguistic formulae in Greek mathematical texts. It is shown that the structure of this system was especially adapted for the easy computation of operations of substitution on such formulae, that is, of replacing one element in a fixed formula by another, and it is further argued that such (...)
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  8.  26
    Counter Culture: Towards a History of Greek Numeracy.Reviel Netz - 2002 - History of Science 40 (3):321-352.
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  9.  8
    Archimedes Transformed: The Case of a Result Stating a Maximum for a Cubic Equation.Reviel Netz - 1999 - Archive for History of Exact Sciences 54 (1):1-47.
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  10.  50
    Proclus’ division of the mathematical proposition into parts: how and why was it formulated?1.Reviel Netz - 1999 - Classical Quarterly 49 (1):282-303.
    There are a number of ways in which Greek mathematics can be seen to be radically original. First, at the level of mathematical contents: many objects and results were first discovered by Greek mathematicians. Second, Greek mathematics was original at the level of logical form: it is arguable that no form of mathematics was ever axiomatic independently of the influence of Greek mathematics. Finally, third, Greek mathematics was original at the level of form, of presentation: Greek mathematics is written in (...)
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  11.  23
    Eudemus of Rhodes, Hippocrates of Chios and the Earliest form of a Greek Mathematical Text.Reviel Netz - 2004 - Centaurus 46 (4):243-286.
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  12.  19
    Introduction: The History of Early Mathematics – Ways of Re-Writing.Reviel Netz - 2003 - Science in Context 16 (3).
  13.  18
    Nothing to do with Apollonius?Reviel Netz - 2017 - Philologus: Zeitschrift für Antike Literatur Und Ihre Rezeption 161 (1):47-76.
    This article makes two claims. The first is that Archimedes’ On Floating Bodies included a punning reference, in its key diagrammatic figure AΠΟΛ: the precise purpose of the pun may not be recovered by us, but even so it remains a powerful example of the playful in Archimedes’ writing. The second is that Apollonius could have been Archimedes’ younger contemporary. The outcome could be that we find Archimedes addressing a playful, hidden message to Apollonius, providing us with a unique insight (...)
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  14.  14
    Ninety-Nine Variations on a Proof.Reviel Netz - 2023 - Common Knowledge 29 (1):133-134.
    Reviews in Common Knowledge generally seek to be more cool and edgy than their subjects, an impossibility in this case. Ording takes a mathematical statement and reaches it in ninety-nine different ways. This book is quite literally a page-turner: most of the arguments take the recto page, with comments on their verso. One keeps cycling back and forth between the mathematical inventiveness of the recto and the philosophical elegance of the verso. The ambition is huge—to construct a mathematical counterpart to (...)
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  15.  42
    The Goal of Archimedes' Sand Reckoner.Reviel Netz - 2003 - Apeiron 36 (4):251-290.
  16.  26
    A New History of Greek Mathematics.Reviel Netz - 2022 - Cambridge University Press.
    The ancient Greeks played a fundamental role in the history of mathematics and their ideas were reused and developed in subsequent periods all the way down to the scientific revolution and beyond. In this, the first complete history for a century. Reviel Netz offers a panoramic view of the rise and influence of Greek mathematics and its significance in world history. He explores the Near Eastern antecedents and the social and intellectual developments underlying the subject's beginnings in Greece in the (...)
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  17.  20
    Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics.Reviel Netz - 2011 - Common Knowledge 17 (3):533-533.
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  18.  4
    Die Bibliosphäre der antiken Wissenschaft (außerhalb von Alexandria): Ein erster Überblick.Reviel Netz - 2011 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 19 (3):239-269.
    ZusammenfassungDer Artikel stellt die Methodik zur Erforschung einer „Bibliosphäre“ vor, also der Gesamtheit der literarischen Dokumente einer bestimmten Kultur. In diesem Fall geht es um die Bibliosphäre der Antike, und hierbei insbesondere um deren wissenschaftlich-philosophischen Bereich. Es wird die Auffassung vertreten, dass wir die Inhalte von Werken durch ihre Position in der Bibliosphäre begreifen können. Der Gegensatz zwischen Mathematik und Literatur wird detailliert dargestellt und der Übergangscharakter der Medizin hervorgehoben.
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  19. Did Plato Have a Philosophy of Science? A Discussion of Andrew Gregory, Plato's Philosophy of Science.Reviel Netz - 2002 - In David Sedley (ed.), Oxford Studies in Ancient Philosophy Volume Xxiii: Winter 2002. Oxford University Press.
  20. Did Plato Have a Philosophy of Science? A Discussion of Andrew Gregory, Plato's Philosophy of Science.Reviel Netz - 2002 - Oxford Studies in Ancient Philosophy 23:247-263.
  21.  25
    Early Science: A Universal History of Particulars.Reviel Netz & Serafina Cuomo - 2005 - Science in Context 18 (1):1-6.
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  22.  4
    First page preview.Reviel Netz - 2005 - International Journal of Philosophical Studies 13 (1).
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  23.  14
    Insight by Oversight.Reviel Netz - 2000 - Apeiron 33 (2):171 - 179.
  24.  43
    Plato’s mathematical construction.Reviel Netz - 2003 - Classical Quarterly 53 (2):500-509.
  25.  35
    Quantum Computing since Democritus.Reviel Netz - 2014 - Common Knowledge 20 (3):490-491.
  26. Shaping, Revisited.Reviel Netz - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 3033-3045.
    In this chapter, I review the argument of “The Shaping of Deduction in Greek Mathematics,” explaining its elements that may be construed as “semiological,” comparing them with other work I did in the semiology of mathematics, and conclude by pointing out the scope, and limits, of semiological explanation in the history of mathematics.
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  27.  54
    The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed.Reviel Netz - 2010 - Common Knowledge 16 (2):287-287.
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  28.  8
    The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed by Amir D. Aczel.Reviel Netz - 2019 - Common Knowledge 25 (1-3):459-460.
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  29.  8
    The Bibliosphere of Ancient Science.Reviel Netz - 2011 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 19 (3):239-269.
    ZusammenfassungDer Artikel stellt die Methodik zur Erforschung einer „Bibliosphäre“ vor, also der Gesamtheit der literarischen Dokumente einer bestimmten Kultur. In diesem Fall geht es um die Bibliosphäre der Antike, und hierbei insbesondere um deren wissenschaftlich-philosophischen Bereich. Es wird die Auffassung vertreten, dass wir die Inhalte von Werken durch ihre Position in der Bibliosphäre begreifen können. Der Gegensatz zwischen Mathematik und Literatur wird detailliert dargestellt und der Übergangscharakter der Medizin hervorgehoben.
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  30.  26
    The Fifth Hammer: Pythagoras and the Disharmony of the World.Reviel Netz - 2013 - Common Knowledge 19 (1):138-139.
  31. The Works of Archimedes: Volume 1, the Two Books on the Sphere and the Cylinder: Translation and Commentary.Reviel Netz (ed.) - 2006 - Cambridge University Press.
    Archimedes was the greatest scientist of antiquity and one of the greatest of all time. This book is Volume I of the first authoritative translation of his works into English. It is also the first publication of a major ancient Greek mathematician to include a critical edition of the diagrams and the first translation into English of Eutocius' ancient commentary on Archimedes. Furthermore, it is the first work to offer recent evidence based on the Archimedes Palimpsest, the major source for (...)
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  32.  6
    HISTORY AND PROBABILITY - (M.) Lavan, (D.) Jew, (B.) Danon (edd.) The Uncertain Past. Probability in Ancient History. Pp. xiv + 307, figs, maps. Cambridge: Cambridge University Press, 2023. Cased, £90, US$120. ISBN: 978-1-009-10065-6. [REVIEW]Reviel Netz - 2024 - The Classical Review 74 (1):129-131.
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  33.  12
    Euclid’s Data[REVIEW]Reviel Netz - 2004 - The Classical Review 54 (2):337-338.
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  34.  30
    Euclid’s data. [REVIEW]Reviel Netz - 2004 - The Classical Review 54 (02):337-.
  35.  18
    Leonid Zhmud. Pythagoras and the Early Pythagoreans. Translated by Kevin Windle and Rosh Ireland. xxiv + 491 pp., index, bibl., indexes. Oxford: Oxford University Press, 2012. $185. [REVIEW]Reviel Netz - 2013 - Isis 104 (3):606-607.
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  36.  14
    Pythagoras and the Early Pythagoreans. [REVIEW]Reviel Netz - 2013 - Isis 104 (3):606-607.
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  37.  28
    Synthesizing Aristotelian Science Z. Bechler: Aristotle's Theory of Actuality (SUNY Series in Ancient Greek Philosophy). Pp. 270. New York: State University Press, 1995. ISBN: 0-7914-2240-2. D. Bolotin: An Approach to Aristotle's Physics. With Particular Attention to the Role of his Manner of Writing (SUNY Series in Ancient Greek Philosophy). Pp. 156. New York: State University Press, 1998. Paper, £14.95. ISBN: 0-7914-3552-0. P. H. Byrne: Analysis and Science in Aristotle (SUNY Series in Ancient Greek Philosophy). Pp. xxii + 303. New York: State University Press, 1997. ISBN: 0-7914-3322-. [REVIEW]Reviel Netz - 1999 - The Classical Review 49 (01):117-.
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  38.  11
    Synthesizing Aristotelian Science. [REVIEW]Reviel Netz - 1999 - The Classical Review 49 (1):117-120.
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  39.  5
    THE TLG_ AND THE _CANON- (M.C.) Pantelia Thesaurus Linguae Graecae. A Bibliographic Guide to the Canon of Greek Authors and Works. Pp. l + 854. Oakland, CA: University of California Press, 2022. Cased, £154, US$200. ISBN: 978-0-520-38819-2. [REVIEW]Reviel Netz - 2024 - The Classical Review 74 (1):37-39.
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