On axiomatic foundations common to classical physics and special relativity (Q2504821)

Summary: {\parindent=6mm \begin{itemize}\item[i)]The class of the axiomatic foundations mentioned in the title is called Ax Found; and its structure is treated in the introduction. \item[ii)] This consists of Parts A to G followed by the References. \item[iii)] In [the author; New Haven-London: Yale University Press. XXVIII, 327 p. (1972; Zbl 0255.02015)] and \textit{A. Bressan} and \textit{A. Montanaro} [Rend. Sem. Mat. Univ. Padova 68, 163--182 (1982; Zbl 0538.70001)], Bressan's modal logic is treated in a consciously non-rigorous way. Instead here, as well as Ax Found, it has a rigorous treatment. Such a treatment had been appreciated by the mathematical physicist \textit{C. A. Truesdell} [New York etc.: Springer-Verlag. XVII, 654 p. (1984; Zbl 0599.01013)]. \item[iv)] In 1953, C. A. Truesdell had a remarkable intuition, whose correctness appeared only in 1962, from Bressan's monograph (\textit{A. Bressan} [Rend. Sem. Mat. Univ. Padova 32, 55--230 (1962; Zbl 0114.14902)]). \item[v)]As a foreign member of the Lincei Academy, Truesdell supported some logical features, absent in his school, and he gave \textit{M. Pitteri} [J. Elasticity 72, No. 1--3, 241-261 (2003; Zbl 1060.74050)] a \`\` confidental copy'' involving this fact. \item[vi)]Since thus the present rigorous treatment of Bressan's modal logic appears strongly supported by Truesdell, it was natural to dedicate the present work to his memory. \item[vii)]In the introduction one says to have proved certain results (whose proof does not appear there) concerning rational mechanics or Bressan's modal logic treated rigorously. \end{itemize}}