The concepts of a spatially continuous substance, of spatial dimension and of spatial boundary are here "analyzed out" of the concepts of individual thing, of constituent and of coincidence. The analysis is based upon the theory of spatial coincidence that was developed by Brentano. Its presuppositions are essentially these: (1) if there are spatial objects of any kind, then there are continuous spatial substances. (2) such substances are possibly such that they are not constituents of any individual thing; and (3) (...) they contain constituents (namely, boundaries) which are necessarily such that they are constituents of spatial substances. (shrink)

Körner has made an important distinction between dependent and independent particulars, noting that any adequate theory of categories will divide particulars into those that are independent and those that are not. In the present paper, the concept of a spatial boundary is used to illustrate the concept of a dependent particular. It is suggested that, if we follow Brentano and think of such boundaries as ontologically dependent upon the things of which they may be said to be boundaries, then we (...) will be able to throw light upon a number of philosophical questions about the spatial continuum. These questions pertain to such topics as: the distinction between parts and boundaries; the definition of dimensionality; and the nature of contact and physical continuity. (shrink)

Terence Parsons, Peter Woodruff; X*—Worldly Indeterminacy of Identity, Proceedings of the Aristotelian Society, Volume 95, Issue 1, 1 June 1995, Pages 171–192.

Occasions of Identity is an exploration of timeless philosophical issues about persistence, change, time, and sameness. Andre Gallois offers a critical survey of various rival views about the nature of identity and change, and puts forward his own original theory. He supports the idea of occasional identities, arguing that it is coherent and helpful to suppose that things can be identical at one time but distinct at another. Gallois defends this view, demonstrating how it can solve puzzles about persistence dating (...) back to the Ancient Greeks, and investigates the metaphysical consequences of rejecting the necessity and eternity of identities. (shrink)

Terence Parsons, Peter Woodruff; X*—Worldly Indeterminacy of Identity, Proceedings of the Aristotelian Society, Volume 95, Issue 1, 1 June 1995, Pages 171–192.

Absolutely no one still believes that every physical interactionconsists of material bodies bumping into each other. Those who have tried to work out a completely mechanistic physics have been unable to explain common phenomena like liquidity, gravitation and magnetism. In fact, there is great reason to doubt that such a physics could ever account for attractive forces in general.