Agradecimentos: The author thanks professor N. Bernardes for hav- ing introduced him to such kind of problems; to professor W. A. Rodrigues Jr. and professor E. Recami for reading the manuscript, discussions and sug- gestions; to Dr. J. E. Maiorino and Dr. A. L. T. Carvalho for helpful comments, and CNPq and FINEP for financial support Ver menos

Abstract: In this paper we discuss the foundations of mechanics based on the concept of convolutive sets. We show that there exist an infinity of expressions for the action which satisfy the laws of mechanics. It follows that it is possible to formulate a general class of theories of Mechanics, of which the Classical Mechanics is only one particular example. We discuss how to formulate these theories, leaving their explicit construction for another paper. Among such theories there is one that is formally identical to Quantum Mechanics but does not involve the concept of probability
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