David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Foundations of Physics 35 (2):233-269 (2005)
This paper is about the metaphysical debate whether objects persist over time by the selfsame object existing at different times (nowadays called “endurance” by metaphysicians), or by different temporal parts, or stages, existing at different times (called “perdurance”). I aim to illuminate the debate by using some elementary kinematics and real analysis: resources which metaphysicians have, surprisingly, not availed themselves of. There are two main results, which are of interest to both endurantists and perdurantists. (1) I describe a precise formal equivalence between the way that the two metaphysical positions represent the motion of the objects of classical mechanics (both point-particles and continua). (2) I make precise, and prove a result about, the idea that the persistence of objects moving in a void is to be analysed in terms of tracking the continuous curves in spacetime that connect points occupied by matter. The result is entirely elementary: it is a corollary of the Heine–Borel theorem
|Keywords||identity over time criterion of identity particles Heine – Borel theorem|
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References found in this work BETA
Theodore Sider (2001). Four Dimensionalism: An Ontology of Persistence and Time. Oxford University Press.
Phil Dowe (2000). Physical Causation. Cambridge University Press.
Katherine Hawley (2001). How Things Persist. Oxford University Press.
D. H. Mellor (1998). Real Time Ii. Routledge.
James T. Cushing (1994). Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony. University of Chicago Press.
Citations of this work BETA
Thomas A. C. Reydon (2008). Species in Three and Four Dimensions. Synthese 164 (2):161 - 184.
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