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On Comparison, Equivalence and Addition of Magnitudes
Principia: An International Journal of Epistemology 23 (2):153-173 (2019)
Abstract
A theory of magnitudes involves criteria for their comparison, equivalence and addition. We examine these aspects from an abstract viewpoint, stressing independence and definability. These considerations are triggered by the so-called De Zolt’s principle in the theory of equivalence of plane polygons.Author's Profile
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References found in this work
The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes.Philip Ehrlich - 2006 - Archive for History of Exact Sciences 60 (1):1-121.
Reals by Abstraction.Bob Hale - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:197-207.
Eudoxos and dedekind: On the ancient greek theory of ratios and its relation to modern mathematics.Howard Stein - 1990 - Synthese 84 (2):163 - 211.
De la Práctica Euclidiana a la Práctica Hilbertiana: las Teorías del Área Plana.Eduardo N. Giovannini, Abel Lassalle Casanave & Paulo A. S. Veloso - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1263-1294.
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