Switch to: References

Add citations

You must login to add citations.
  1. Geometrical Objects as Properties of Sensibles: Aristotle’s Philosophy of Geometry.Emily Katz - 2019 - Phronesis 64 (4):465-513.
    There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings qua quantitative and (...)
    Download  
     
    Export citation  
     
    Bookmark   9 citations  
  • «The Matter Present in Sensibles but not qua Sensibles». Aristotle’s Account of Intelligible Matter as the Matter of Mathematical Objects.Beatrice Michetti - 2022 - Méthexis 34 (1):42-70.
    Aristotle explicitly speaks of intelligible matter in three passages only, all from the Metaphysics, in the context of the analysis of definition as the formula that expresses the essence: Metaph. Z10, 1036 a8-11; Metaph.Z11, 1037 a5; Metaph.H6, 1045 a34-36 and 45 b1. In the case of the occurrences of Z10 and Z11, there is almost unanimous consensus that Aristotle uses the expression in a technical way, to indicate the matter of that particular type of objects that are intelligible compounds, of (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Idealisation in Greek Geometry.Justin Humphreys - 2023 - Ancient Philosophy Today 5 (2):178-198.
    Some philosophers hold that mathematics depends on idealising assumptions. While these thinkers typically emphasise the role of idealisation in set theory, Edmund Husserl argues that idealisation is constitutive of the early Greek geometry that is codified by Euclid. This paper takes up Husserl's idea by investigating three major developments of Greek geometry: Thalean analogical idealisation, Hippocratean dynamic idealisation, and Archimedean mechanical idealisation. I argue that these idealisations are not, as Husserl held, primarily a matter of ‘smoothing out’ sensory reality to (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Aristotle’s Syllogistic as a Form of Geometry.Vangelis Triantafyllou - 2023 - History of Philosophy & Logical Analysis 27 (1):30-78.
    This article is primarily concerned with Aristotle’s theory of the syllogistic, and the investigation of the hypothesis that logical symbolism and methodology were in these early stages of a geometrical nature; with the gradual algebraization that occurred historically being one of the main reasons that some of the earlier passages on logic may often appear enigmatic. The article begins with a brief introduction that underlines the importance of geometric thought in ancient Greek science, and continues with a short exposition of (...)
    Download  
     
    Export citation  
     
    Bookmark