Synthese

, Volume 112, Issue 2, pp 271–279

Suppes Predicates for Space-Time

  • Newton C. A. da Costa
  • Otávio Bueno
  • Steven French
Article

DOI: 10.1023/A:1004984927979

Cite this article as:
da Costa, N.C.A., Bueno, O. & French, S. Synthese (1997) 112: 271. doi:10.1023/A:1004984927979

Abstract

We formulate Suppes predicates for various kinds of space-time: classical Euclidean, Minkowski's, and that of General Relativity. Starting with topological properties, these continua are mathematically constructed with the help of a basic algebra of events; this algebra constitutes a kind of mereology, in the sense of Lesniewski. There are several alternative, possible constructions, depending, for instance, on the use of the common field of reals or of a non-Archimedian field (with infinitesimals). Our approach was inspired by the work of Whitehead (1919), though our philosophical stance is completely different from his. The structures obtained are idealized constructs underlying extant, physical space-time.

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Newton C. A. da Costa
    • 1
  • Otávio Bueno
    • 2
  • Steven French
    • 3
  1. 1.Department of PhilosophyUniversity of São PauloBrazil
  2. 2.Department of PhilosophyUniversity of LeedsLeedsUnited Kingdom
  3. 3.Department of PhilosophyUniversity of LeedsLeeds