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- S. Alexander (1920). Space, Time, and Deity. Macmillan.
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Isaac Newton founded classical mechanics on the view that space is something distinct from body and that time is something that passes uniformly without regard to whatever happens in the world. For this reason he spoke of absolute space and absolute time, so as to distinguish these entities from the various ways by which we measure them (which he called relative spaces and relative times). From antiquity into the eighteenth century, contrary views which denied that space and time are real entities maintained that the world is necessarily a material plenum. Concerning space, they held that the idea of empty space is a conceptual impossibility. Space is nothing but an abstraction we use to compare different arrangements of the bodies constituting the plenum. Concerning time, they insisted, there can be no lapse of time without change occurring somewhere. Time is merely a measure of the cycles of change within the world.
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Unsurpassed among books on space and time in terms of its insights and clarity, this volume by a world-famous mathematician can be appreciated by lay readers as ...
We have, however, as the title of the book would suggest, dealt mainly with space and time, introducing mechanical and electromagnetic considerations only when ...
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In this book Noel Curran suggests that considerations in the philosophy of mathematics—in particular, the proper interpretation of quaternions—leads to a “new” philosophy of space and time. According to Curran: space is Euclidean; time is absolute, flows and has a beginning; and God created the universe at the beginning of time.
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No one denies that time and space are different; and it is easy to catalog differences between them. I can point my finger toward the west, but I can’t point my finger toward the future. If I choose, I can now move to the left, but I cannot now choose to move toward the past. And (as D. C. Williams points out) for many of us, our attitudes toward time differ from our attitudes toward space. We want to maximize our temporal extent and minimize our spatial extent: we want to live as long as possible but we want to be thin.1 But these differences are not very deep, and don’t get at the essence of the difference between time and space. That’s what I want to understand: I want to know what makes time different from space. I want to know which difference is the fundamental difference between them.
Modern cosmology treats space and time, or rather space-time, as concrete particulars. The General Theory of Relativity combines the distribution of matter and energy with the curvature of space-time. Here space-time appears as a concrete entity which affects matter and energy and is affected by the things in it. I question the idea that space-time is a concrete existing entity which both substantivalism and reductive relationism maintain. Instead I propose an alternative view, which may be called non-reductive relationism, by arguing that space and time are abstract entities based on extension and changes.
Beginning with Berkeley and Leibniz, philosophers have been puzzled by the close yet ambivalent association in Newton's ontology between God and absolute space and time. The 1962 publication of Newton's highly philosophical manuscript De Gravitatione has enriched our understanding of his subtle, sometimes cryptic, remarks on the divine underpinnings of space and time in better-known published works. But it has certainly not produced a scholarly consensus about Newton's exact position. In fact, three distinct lines of interpretation have emerged: (1) Independence : space and time are not essentially related to God. (2) Causation : space and time are caused by God. (3) Assimilation : space and time are attributes of God. This paper defends the third interpretation against the first two by drawing out the under-appreciated influence of Descartes' metaphysics on Newton's ‘physico-theology’.
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