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Matter, imagination, and geometry : ontology, natural philosophy, and mathematics in Plotinus, Proclus, and Descartes

Author: D V Nikulin
Publisher: Aldershot, Hants ; Burlington, VT : Ashgate, ©2002.
Series: Ashgate new critical thinking in philosophy.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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
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Additional Physical Format: Online version:
Nikulin, D.V. (Dmitriĭ Vladimirovich).
Matter, imagination, and geometry.
Aldershot, Hants ; Burlington, VT : Ashgate, ©2002
(OCoLC)606778718
Named Person: Plotinus.; Proclus; René Descartes; René Descartes; Plotinus.; Proclus; Plotinus.; René Descartes; Plotinus.; René Descartes
Document Type: Book
All Authors / Contributors: D V Nikulin
ISBN: 075461574X 9780754615743
OCLC Number: 46671056
Description: xvi, 300 pages ; 23 cm.
Contents: 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.
Series Title: Ashgate new critical thinking in philosophy.
Responsibility: Dmitri Nikulin.

Abstract:

This text considers the applicability of mathematics to the study of natural phenomena. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key  Read more...

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