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arXiv · 1607.05997

Non-Anomalous Semigroups and Real Numbers

Damon Binder
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Abstract

Motivated by intuitive properties of physical quantities, the notion of a non-anomalous semigroup is formulated. These are totally ordered semigroups where there are no `infinitesimally close' elements. The real numbers are then defined as the terminal object in a closely related category. From this definition a field structure on $\mathbb R$ is derived, relating multiplication to morphisms between non-anomalous semigroups.

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Damon Binder. 2016-07-19. Non-Anomalous Semigroups and Real Numbers. https://arxiv.org/abs/1607.05997

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