Imagine a place: Geometrical and Physical Space in Proclus

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Abstract

Proclus conceived of complex kinematic constructions in geometry as involving motions of points and lines that produced figures like conic sections within the phantasia (imagination) of the reasoner. He contended that in such constructions, the geometer projects various figures in three-dimensional space and not on a two-dimensional screen, as many commentators believe. Hence Proclus believes in what one might call the three-dimensionality of imagination. He also presents the remarkable argument that space should be understood as a kind of intelligible matter, where the latter is understood to be three-dimensional (not merely two-dimensional). Finally, the chapter discusses the extent to which Proclus foresees various early modern conceptions of space.
Original languageEnglish
Title of host publicationSpace
Subtitle of host publicationa history
EditorsA. Janiak
PublisherOxford University press
Chapter2
Pages63-97
Number of pages35
ISBN (Electronic)9780190090562, 9780190090579, 9780199914111
ISBN (Print)9780199914104, 9780199914128
DOIs
Publication statusPublished - Jul 2020

Publication series

NameOxford philosophical concepts

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