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  1. Euclid’s Fourth Postulate: Its authenticity and significance for the foundations of Greek mathematics.Vincenzo De Risi - 2022 - Science in Context 35 (1):49-80.
    ArgumentThe Fourth Postulate of Euclid’s Elements states that all right angles are equal. This principle has always been considered problematic in the deductive economy of the treatise, and even the ancient interpreters were confused about its mathematical role and its epistemological status. The present essay reconsiders the ancient testimonies on the Fourth Postulate, showing that there is no certain evidence for its authenticity, nor for its spuriousness. The paper also considers modern mathematical interpretations of this postulate, pointing out various anachronisms. (...)
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  • Ancient atomism.Sylvia Berryman - 2008 - Stanford Encyclopedia of Philosophy.
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  • A Functionalist Account of Epicurus' Minima.Chiara Martini - 2024 - Méthexis 36 (1):73-94.
    Epicurus’ original version of atomism takes atoms to be physically indivisible but not completely unanalysable: each atom contains a finite number of minima. This paper explores the nature of the minima by focusing on a specific question: in which sense are the minima minimal? I do so by investigating the notions of parthood and divisibility into parts that are at play in paragraphs 56–59 of the Letter to Herodotus, where the theory of minima is introduced. By focusing on the analogy (...)
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  • Diagrams for Method 12 in the Archimedes Palimpsest.Xiaoxiao Chen - 2023 - Ancient Philosophy Today 5 (2):199-213.
    This paper discusses four diagrams in the Archimedes Palimpsest, a manuscript that provides among other texts the only extant witness to Archimedes’ Method. My study of the two diagrams for Method 12 aims to open up discussions about the following two questions. First, I want to question the assumed relationship between diagram and geometric configuration. Rather than a representation-represented relation, I argue that the two diagrams for Method 12 have a stronger independence from the geometric configuration they are related to. (...)
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  • Boethus the Epicurean.Francesco Verde - 2015 - Philosophie Antique 15:205-224.
    Cet article se concentre principalement sur Boéthos, philosophe épicurien qui a été souvent négligé : aucune source ancienne, excepté Plutarque, ne le mentionne. L’étude tente d’examiner la perspective philosophique de Boéthos et, plus particulièrement, son attitude envers la géométrie.
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  • Vestiges of the emergence of overspecification and indifference to visual accuracy in the mathematical diagrams of medieval manuscripts.Christián C. Carman - 2020 - Centaurus 62 (1):141-157.
    Diagrams in medieval manuscripts of Greek mathematical and astronomical works can seem peculiar for a modern reader, given their persistent and widespread tendency to represent more geometric regularity than the argument requires and their usual visual inaccuracy in depicting the mathematical objects discussed in the text. Although most scholars believe that these tendencies go back to the original Greek authors, in a recent paper I argued that these odd features should not be attributed to Greek authors, but to transmission. My (...)
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