North Texas Objectivist Society (NTOS) Message Board › Metaphysics: What's the matter with space and time?
"... to grasp "motion" you have to grasp a change. A change of what? Of [spatial] relationships among entities. If you see some stationary objects and one object that is moving, you grasp the fact that it is moving by seeing the changed relationship between it and the other objects, and that gives you the concept of "time." At a given moment, let's say it is to the right of the first stationary object, a few minutes later it is to the left, then it passes the next stationary object. It is the progression of the motion that gives you the concept of "time."—Ayn Rand, Introduction to Objectivist Epistemology, Appendix—Axiomatic Concepts (original emphasis)
Prepositions are concepts of relationships, predominantly of spatial or temporal relationships, among existents; they are formed by specifying the relationship and omitting the measurements of the existents and of the space or time involved—e.g., "on", "in", "above, "after," etc.—Ayn Rand, Introduction to Objectivist Epistemology, Concept-Formation (original emphasis).
Prof. B: I would be completely satisfied on this if you could clarify one more thing for me, which is: why call the universe an entity, rather than simply a collection, since it doesn't act as a whole?—Ayn Rand, Introduction to Objectivist Epistemology, Appendix—Entities and Their Makeup
"Space" and "time" only have meaning in regard to the relationships of entities to each other. The universe of entities has no relationship to anything—to any entity that exists—outside or "beyond" the universe of entities. There is no "before" or "after" the existence of the universe. There is no "space" outside or "beyond" the existence of the universe. Existence is the primary axiomatic concept. "Existence exists" is the primary axiom, the axiom on which everything else depends, including the concepts of "space" and "time." Entities are the matter with space and time.
Edited by Old Toad on Sep 30, 2008 4:46 PM