•  41
    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…Read more
  •  38
    Plato’s mathematical construction
    Classical Quarterly 53 (2): 500-509. 2003.
  •  33
    Quantum Computing since Democritus
    Common Knowledge 20 (3): 490-491. 2014.
  •  28
    Linguistic formulae as cognitive tools
    Pragmatics and Cognition 7 (1): 147-176. 1999.
    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 operatio…Read more
  •  28
    Euclid’s data (review)
    The Classical Review 54 (02): 337-. 2004.
  •  25
    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.
  •  25
  •  22
    A New History of Greek Mathematics
    Cambridge University Press. 2022.
    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 Greec…Read more
  •  21
    Counter Culture: Towards a History of Greek Numeracy
    History of Science 40 (3): 321-352. 2002.
  •  18
    Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics
    Common Knowledge 17 (3): 533-533. 2011.
  •  14
    Nothing to do with Apollonius?
    Philologus: Zeitschrift für Antike Literatur Und Ihre Rezeption 161 (1): 47-76. 2017.
    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 i…Read more
  •  14
    An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.
  •  13
    Early Science: A Universal History of Particulars
    with Serafina Cuomo
    Science in Context 18 (1): 1-6. 2005.
  •  12
    Pythagoras and the Early Pythagoreans (review)
    Isis 104 (3): 606-607. 2013.
  •  10
    Synthesizing Aristotelian Science (review)
    The Classical Review 49 (1): 117-120. 1999.
  •  10
    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 argues …Read more
  •  10
    Euclid’s Data (review)
    The Classical Review 54 (2): 337-338. 2004.
  •  6
    The Bibliosphere of Ancient Science
    NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 19 (3): 239-269. 2011.
    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 de…Read more
  •  6
    Archimedes Transformed: The Case of a Result Stating a Maximum for a Cubic Equation
    Archive for History of Exact Sciences 54 (1): 1-47. 1999.
  •  6
    Ninety-Nine Variations on a Proof
    Common Knowledge 29 (1): 133-134. 2023.
    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 …Read more
  •  5
    Scale, Space, and Canon in Ancient Literary Culture
    Cambridge University Press. 2020.
    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. Thi…Read more
  •  3
    First page preview
    International Journal of Philosophical Studies 13 (1). 2005.