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An axiomatization of a ‘two-level Hamiltonian structure’ is proposed, which expresses the optico-mechanical analogy by representing optics and mechanics as different classes of models satisfying the a...
Essay on Analogy in Mathematics     Essay  Analogy  Mathematics       2008/4/8
According to the author, the answer to both of these questions is yes. In this essay I will postulate the existence of a hidden evolutionary contant in the development of mathematical ideas. Formulat...
This paper suggests a sufficiently consistent, if preliminary, sketch of the semiotic structure and the aesthetic and heuristic functions of metaphor in science, particularly in chemistry. A propositi...

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