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  1. Aristotle's Theory of Abstraction.Allan Bäck - 2014 - Cham, Switzerland: Springer.
    This book investigates Aristotle’s views on abstraction and explores how he uses it. In this work, the author follows Aristotle in focusing on the scientific detail first and then approaches the metaphysical claims, and so creates a reconstructed theory that explains many puzzles of Aristotle’s thought. Understanding the details of his theory of relations and abstraction further illuminates his theory of universals. Some of the features of Aristotle’s theory of abstraction developed in this book include: abstraction is a relation; perception (...)
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  • The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
    An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.
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  • Aristotle’s Metaphysics: Books M and N.Julia Annas - 1976 - Philosophical Review 87 (3):479-485.
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  • An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...)
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  • Geometrical Method and Aristotle's Account of First Principles.H. D. P. Lee - 1935 - Classical Quarterly 29 (02):113-.
    The object of this paper is to show the predominance of the influence of geometrical ideas in Aristotle's account of first principles in the Posterior Analytics— to show that his analysis of first principles is in its essentials an analysis of the first principles of geometry as he conceived them. My proof of this falls into two parts. I. A consideration of the parallel between Aristotle's and Euclid's account of first principles. II. A comparison between the general movement of thought (...)
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  • (1 other version)Anfänge der griechischen Mathematik.Arpad Szabo - 1973 - Revue Philosophique de la France Et de l'Etranger 163 (3):375-378.
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  • Aristotle’s Philosophy of Mathematics.Jonathan Lear - 1982 - Philosophical Review 91 (2):161-192.
    Whether aristotle wrote a work on mathematics as he did on physics is not known, and sources differ. this book attempts to present the main features of aristotle's philosophy of mathematics. methodologically, the presentation is based on aristotle's "posterior analytics", which discusses the nature of scientific knowledge and procedure. concerning aristotle's views on mathematics in particular, they are presented with the support of numerous references to his extant works. his criticism of his predecessors is added at the end.
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  • (1 other version)Aristotle's Prior and Posterior Analytics.W. D. Ross - 1949 - Philosophy 25 (95):380-382.
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  • Aristotle on Geometrical Objects.Ian Mueller - 1970 - Archiv für Geschichte der Philosophie 52 (2):156-171.
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  • The Body Problem in Aristotle.Paul Studtmann - 2002 - Apeiron 35 (3):211 - 234.
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  • An Essay Concerning Human Understanding. To Which Are Now Added, I. Analysis of Mr. Locke's Doctrine of Ideas [&C.].John Locke - 1818
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  • (1 other version)Aristotle's Prior and Posterior Analytics.W. D. Ross - 1953 - British Journal for the Philosophy of Science 3 (12):374-375.
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  • Construction as Existence Proof in Ancient Geometry.Wilbur R. Knorr - 1983 - Ancient Philosophy 3 (2):125-148.
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  • On Certain Mathematical Terms in Aristotle's Logic: Part I.Benedict Einarson - 1936 - American Journal of Philology 57 (1):33.
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  • The Shaping of Deduction in Greek Mathematics: A Study in Coginitive History. [REVIEW]Jenz Høyrup - 2005 - Studia Logica 80 (1):143-147.
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