Absolutism with respect to space is subject to much the same lines of criticism as is absolutism with respect to time, and while with space we also have Kant's arguments concerning left and right hands to consider, the case for absolutism continues to be weak. Nor is it supported by considerations concerning motion and rest. The relation between ‘space’ and ‘nothing’ is of interest, both because of questions of the reality of space and of issues of cosmology. The latter involves the notion of the curvature of space, a notion which may also figure in the debate between the absolutists and the relationists. This is pursued in conjunction with a discussion of Euclidean and non-Euclidean geometry.
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