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Axiomatic foundations of the kinematics common to classical physics and special relativity. (English) Zbl 0538.70001
Starting from four primitive notions namely event point, particle, relation of being in the past and relation of being an event point occupied by a particle and certain suitable postulates, the authors present a system of purely kinematic axioms complying with both classical mechanics and special relativity. The main theorem proves that either the classical or the relativistic case holds. The work which makes a number of related interesting points is within the framework of modal logic as described in the first author’s book, A general interpreted modal calculus (1972; Zbl 0255.02015).
Reviewer: C.S.Sharma

MSC:
70A05 Axiomatics, foundations
03B45 Modal logic (including the logic of norms)
83A05 Special relativity
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
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References:
[1] A. Bressan , Metodo di assiomatizzazione in senso stretto della Meecanica classica. Applicazione di esso ad alcuni problemi di assiomatizzazione non ancora completamente risolti , Rend. Sem. Mat. Univ. di Padova , 32 ( 1962 ), pp. 55 - 212 . Numdam | MR 148437 | Zbl 0114.14902 · Zbl 0114.14902
[2] A. Bressan , A General Interpreted Modal Calculus , New Haven , Yale University Press ( 1972 ). MR 401432 | Zbl 0255.02015 · Zbl 0255.02015
[3] A. Bressan , On the usefulness of modal logic in axiomatizations of physics , in PSA 1972 (Boston Studies in the Philosophy of Science , Vol. 20 ), ed. by K. F. SCHAFFNER - R. S. COHEN, Dordrecht and Boston , Reidel ( 1974 ). Zbl 0322.02014 · Zbl 0322.02014
[4] A. Bressan , On Physical Possibility, in Italian studies in the philosophy of science ( 1981 ), p. 197 . MR 604959
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