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  1. A Trivial Source of Wonder : Some Mathematical Examples in Plato’s Dialogues.Laura Marongiu - 2024 - Archiv für Geschichte der Philosophie 106 (3):379-410.
    The purpose of this paper is to reassess some mathematical examples in Plato’s dialogues which at a first glance may appear to be nothing more than trivial puzzles. In order to provide the necessary background for this analysis, I shall begin by sketching a brief overview of Plato’s mathematical passages and discuss the criteria for aptly selecting them. Second, I shall explain what I mean by ‘mathematical examples,’ and reflect on their function in light of the discussion on παραδείγματα outlined (...)
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  • Analytical Reasoning and Problem-Solving in Diophantus’s Arithmetica : Two Different Styles of Reasoning in Greek Mathematics.Jean Christianidis - 2021 - Philosophia Scientiae 25:103-130.
    Over the past few decades, the question regarding the proper understanding of Diophantus’s method has attracted much scholarly attention. “Modern algebra”, “algebraic geometry”, “arithmetic”, “analysis and synthesis”, have been suggested by historians as suitable contexts for describing Diophantus’s resolutory procedures, while the category of “premodern algebra” has recently been proposed by other historians to this end. The aim of this paper is to provide arguments against the idea of contextualizing Diophantus’s modus operandi within the conceptual framework of the ancient analysis (...)
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