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The Optico-mechanical analogy: an axiomatic approach
geometrical optics analytical mechanics axiomatics
2008/4/21
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...
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...
The Aesthetics and Heuristics of Analogy Model and Metaphor in Chemical Communication
metaphor aesthetics semiotics
2008/4/3
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...