Bressan, A.; Montanaro, A. Axiomatic foundations of the kinematics common to classical physics and special relativity. (English) Zbl 0538.70001 Rend. Sem. Mat. Univ. Padova 68, 163-182 (1982). 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 Cited in 2 Reviews MSC: 70A05 Axiomatics, foundations 03B45 Modal logic (including the logic of norms) 83A05 Special relativity 74Axx Generalities, axiomatics, foundations of continuum mechanics of solids Keywords:axiomatic foundations of mechanics; event point occupied by particle; primitive notions; being in the past; purely kinematic axioms; classical mechanics and special relativity; modal logic PDF BibTeX XML Cite \textit{A. Bressan} and \textit{A. Montanaro}, Rend. Semin. Mat. Univ. Padova 68, 163--182 (1982; Zbl 0538.70001) Full Text: Numdam EuDML 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 · numdam:RSMUP_1962__32__55_0 · eudml:107092 [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 [5] P.K. Feyerabend (a) Against method. Outline of an anarchistic theory of knowledge ( 1975 ). P.K. Feyerabend (b) Contro il metodo , Feltrinelli , Milano ( 1980 ). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.