Matter, imagination and geometry : ontology, natural philosophy and mathematics in Plotinus, Proclus and Descartes
著者
書誌事項
Matter, imagination and geometry : ontology, natural philosophy and mathematics in Plotinus, Proclus and Descartes
（Ashgate new critical thinking in philosophy）
Ashgate, c2002
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This text considers the 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 and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are 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.
目次
- Part 1 Matter: the notion of matter
- substance - ontology vs. henology
- infinity
- substance and essence. Part 2 Intelligible matter and geometry: geometry, arithmetic and physics in antiquity
- geometry, metaphysics and method in Descartes
- the notion of intelligible matter. Part 3 Reason, imagination and construction: reason and the structure of cognitive faculties
- imagination in ancient philosophy
- imagination in Descartes
- imagination and kinematic construction in geometry.
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