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La mecánica hamiltoniana y el enfoque de Tarsky

1999; Universidad Autónoma del Estado de México; Volume: 6; Issue: 1 Linguagem: Inglês

2395-8782

Rolando Alvarado, Máximo Augusto Agüero Granados,

Advanced Algebra and Logic

In the present, article we present an approach by using certain results reached by Tarsky to show, with the limitations made explicit in the introduction, that Hamiltonian Mechanics can be considered as a way of expressing propositions about subsets in the projective space. For this purpose we propose a very simplified formalized system in which the basic propositional functions express the properties that permit the partial reconstruction of the theoretical body of Hamiltonian Mechanics. Arnold. V. I. (1989). Mathematic Methods of Classical Mechanics, Springer-Verlag: Graduate Texts in Mathematics 60, 2a ed. Bunge, M. (1967). “Physical Axiomatics”, en rev Mod. Phys. Vol. 39. Num 2, abril. Courant, R. D. (1989). Hillbert: Methods of Mathematical Physics. Vol. II. John Wiley and Sons. Enderton, H. B. (1987). Una introduccion matematica a la logica. UNAM, Mexico. Rees, E. (1986). Notes on Geometry. Tarsky, A. (1956). Logic, Semantics, Meta-mathematics. Oxford at the Clrendon Press. Van Frassen, Bas C. (1987). Semantica formal y logica. UNAM, Mexico. In the present, article we present an approach by using certain results reached by Tarsky to show, with the limitations made explicit in the introduction, that Hamiltonian Mechanics can be considered as a way of expressing propositions about subsets in the projective space. For this purpose we propose a very simplified formalized system in which the basic propositional functions express the properties that permit the partial reconstruction of the theoretical body of Hamiltonian Mechanics.