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Aristotle's Theory of Abstraction

Cham, Switzerland: Springer (2014)

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  1. The Little Word “As.” On Making Contexts and Aspects Explicit.Konrad Werner - 2020 - Axiomathes 30 (1):69-90.
    The word “as” enables one to make contexts and aspects of things explicit while attributing properties or descriptions to them. For example “John is rational as a mathematician”; “John is irrational as a driver.” This paper examines the idea according to which all propositions containing “as” should be targeted as potential inferences about the subject; as for the examples given—about John. If the inference is valid—the conception in question holds—one can get rid of “as.” I argue against that view by (...)
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  • 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 (...)
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  • Aristotle’s Philosophy of Mathematics and Mathematical Abstraction.Murat Kelikli - forthcoming - Beytulhikme An International Journal of Philosophy.
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  • Aristoteles’in Matematik Felsefesi ve Matematik Soyut­lama.Murat Kelikli - 2017 - Beytulhikme An International Journal of Philosophy 7 (2):33-49.
    Although there are many questions to be asked about philosophy of mathematics, the fundamental questions to be asked will be questions about what the mathematical object is in view of being and what the mathematical reasoning is in view of knowledge. It is clear that other problems will develop in parallel within the framework of the answers to these questions. For this rea­ son, when we approach Aristotle's philosophy of mathematics over these two basic problems, we come up with the (...)
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  • Aristotle as a Nonclassical Trope Theorist.Samuel Kampa & Shane Wilkins - 2018 - History of Philosophy Quarterly 35 (2):117-136.
    A trope is an abstract particular. Trope theorists maintain that tropes exist and argue that they can solve important philosophical problems, such as explaining the nature of properties. While many contemporary interpreters of Aristotle read him as a trope theorist, few commentators distinguish different versions of trope theory. Which, of any, of these versions did Aristotle hold? Classical trope theorists say that individuals just are bundles of tropes. This essay offers a reading of Categories 2-5 and Metaphysics VII-VIII that aligns (...)
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  • Measuring Multiple Text Integration: A Review.Liron Primor & Tami Katzir - 2018 - Frontiers in Psychology 9.
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  • From Practical to Pure Geometry and Back.Mario Bacelar Valente - 2020 - Revista Brasileira de História da Matemática 20 (39):13-33.
    The purpose of this work is to address the relation existing between ancient Greek practical geometry and ancient Greek pure geometry. In the first part of the work, we will consider practical and pure geometry and how pure geometry can be seen, in some respects, as arising from an idealization of practical geometry. From an analysis of relevant extant texts, we will make explicit the idealizations at play in pure geometry in relation to practical geometry, some of which are basically (...)
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