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- catalog abstract ""This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--Jacket.".
- catalog contributor b12464369.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description ""This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity.".
- catalog description "Includes bibliographical references (p. [261]-282) and index.".
- catalog description "Matter -- The notion of matter -- On the notion of matter in Aristotle -- Plotinus on matter -- Matter and extension in Descartes -- Substance: ontology vs. henology -- The One and the multitude in Plotinus -- Distinction between the One and matter -- Substance and attribute in Descartes -- Infinity -- Infinity in Aristotle and Plotinus -- Infinity as perfection: Infini and indefini -- Paradox and infinity -- Indefinite divisibility of physical and mathematical entities in Descartes -- Substance and essence -- Otherness in substance -- Essence and existence: Descartes' essentialism -- Intelligible Matter and Geometry -- Geometry, arithmetic and physics in antiquity -- Foundations of arithmetic in Plotinus -- Constitution and the structure of number in Plotinus -- Number and magnitude in ancient mathematics: The point -- The in(de) finite in mathematical reasoning -- Geometry, metaphysics and method in Descartes -- Geometry in its relation to physics according to Descartes -- Number and magnitude in Descartes -- Intermediary -- Geometrical objects as intermediary: Proclus vs. Descartes -- The notion of intelligible matter -- Intelligible matter in Plotinus -- Intelligible matter in Proclus -- Reason, Imagination and Construction -- Reason and the structure of cognitive faculties -- Intellect-noys in Plotinus -- Discursive thinking-dianoia -- Life -- Mind and its ideas: Descartes -- Imagination in ancient philosophy -- Aristotle and Plato on imagination -- Imagination in Plotinus.".
- catalog description "The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--Jacket.".
- catalog extent "xvi, 300 p. ;".
- catalog hasFormat "Matter, imagination, and geometry.".
- catalog identifier "075461574X".
- catalog isFormatOf "Matter, imagination, and geometry.".
- catalog isPartOf "Ashgate new critical thinking in philosophy".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Aldershot, Hants ; Burlington, VT : Ashgate,".
- catalog relation "Matter, imagination, and geometry.".
- catalog subject "509 21".
- catalog subject "Descartes, René, 1596-1650.".
- catalog subject "Mathematical physics Philosophy.".
- catalog subject "Plotinus.".
- catalog subject "Proclus, approximately 410-485.".
- catalog subject "QC20.6 .N54 2002".
- catalog subject "Science, Ancient.".
- catalog tableOfContents "Matter -- The notion of matter -- On the notion of matter in Aristotle -- Plotinus on matter -- Matter and extension in Descartes -- Substance: ontology vs. henology -- The One and the multitude in Plotinus -- Distinction between the One and matter -- Substance and attribute in Descartes -- Infinity -- Infinity in Aristotle and Plotinus -- Infinity as perfection: Infini and indefini -- Paradox and infinity -- Indefinite divisibility of physical and mathematical entities in Descartes -- Substance and essence -- Otherness in substance -- Essence and existence: Descartes' essentialism -- Intelligible Matter and Geometry -- Geometry, arithmetic and physics in antiquity -- Foundations of arithmetic in Plotinus -- Constitution and the structure of number in Plotinus -- Number and magnitude in ancient mathematics: The point -- The in(de) finite in mathematical reasoning -- Geometry, metaphysics and method in Descartes -- Geometry in its relation to physics according to Descartes -- Number and magnitude in Descartes -- Intermediary -- Geometrical objects as intermediary: Proclus vs. Descartes -- The notion of intelligible matter -- Intelligible matter in Plotinus -- Intelligible matter in Proclus -- Reason, Imagination and Construction -- Reason and the structure of cognitive faculties -- Intellect-noys in Plotinus -- Discursive thinking-dianoia -- Life -- Mind and its ideas: Descartes -- Imagination in ancient philosophy -- Aristotle and Plato on imagination -- Imagination in Plotinus.".
- catalog title "Matter, imagination, and geometry : ontology, natural philosophy, and mathematics in Plotinus, Proclus, and Descartes / Dmitri Nikulin.".
- catalog type "text".