On Comparison, Equivalence and Addition of Magnitudes

Principia: An International Journal of Epistemology 23 (2):153-173 (2019)
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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.

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Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
Reals by Abstraction.Bob Hale - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:197-207.

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