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arXiv · 0909.5271

Partial Komori fields and imperative Komori fields

J. A. Bergstra·C. A. Middelburg
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Abstract

This paper is concerned with the status of 1/0 and ways to deal with it. These matters are treated in the setting of Komori fields, also known as non-trivial cancellation meadows. Different viewpoints on the status of 1/0 exist in mathematics and theoretical computer science. We give a simple account of how mathematicians deal with 1/0 in which a customary convention among mathematicians plays a prominent part, and we make plausible that a convincing account, starting from the popular computer science viewpoint that 1/0 is undefined, by means of some logic of partial functions is not attainable.

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J. A. Bergstra, C. A. Middelburg. 2009-09-29. Partial Komori fields and imperative Komori fields. https://arxiv.org/abs/0909.5271

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