- A last year's title. However it escaped my attention until today so I
thought I might not be the only one.
Dmitri Nikulin (New School for Social Research, New York)
"Matter, Imagination and Geometry. Ontology, Natural Philosophy and
Mathematics in Plotinus, Proclus and Descartes."
Series: Ashgate New Critical Thinking in Philosophy,ISBN: 0 7546 1574 X,
02/2002, pp. 316, Hardback only, $79.95/£45.00
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
Matter, Imagination and Geometry presents one of the first studies to
compare the relation of mathematics
to physics in ancient (especially Neoplatonic) and early modern science
Introduction; Matter: The notion of matter; Substance: ontology vs.
henology; Infinity; Substance and
essence; Intelligible matter and geometry: Geometry, arithmetic and
physics in antiquity; Geometry,
metaphysics and method in Descartes; The notion of intelligible matter;
Reason, imagination and
construction: Reason and the structure of cognitive faculties;
Imagination in ancient philosophy;
Imagination in Descartes; Imagination and kinematic construction in
geometry; Conclusion; Bibliography;
[Can be purchased online from the 'Ashgate' website: www.ashgate.com]
With every best wish, yours
Cosmin I. Andron BA, MA (Cluj), PhD cand.
Department of Classics
Royal Holloway College
University of London
Surrey TW20 OEX
Phone: 0044 (0) 7759 188 337
Web page: www.cosmin-andron.com
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