Chapter

Space and Geometry

Ian Hinckfuss

in The Existence of Space and Time

Published in print March 1975 | ISBN: 9780198245193
Published online October 2011 | e-ISBN: 9780191680854 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198245193.003.0004
Space and Geometry

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This chapter first reports the geometrical properties of space. One of the assumptions of Newtonian dynamics is that space is Euclidean; that is, space satisfies the axioms, and hence the theorems, of three-dimensional Euclidean geometry. Within Einstein's General Theory of Relativity, on the other hand, it becomes allowable that at various places space is curved; that is, space is non-Euclidean. The chapter then explores a couple of properties closely related to the geometrical properties. It starts by presenting the topological properties of space and also reviews the dimensionality of space. The space as physically possible types of events is discussed. It is suggested that certain statements about space might be reducible to statements about ways in which it is physically possible for bodies to move or position themselves. Furthermore, the amounts of space are explained. The nocturnal expansion problem is finally shown.

Keywords: space; Euclidean geometry; Newtonian dynamics; Einstein; nocturnal expansion; Relativity; topological properties

Chapter.  13803 words.  Illustrated.

Subjects: Metaphysics

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