Abstract / Synopsis
There is a tradition of Mathematics contributing to the understanding of Music. This article sets out to contribute in the other direction. It uses musical sensibilities to feel its way through a piece of mathematics called the Urysohn Lemma, suggesting the presence of rhythmic, melodic, and harmonic elements within standard proving practices of contemporary Western mathematics. This article employs a literary-philosophical technique of viewing a text in one discipline (mathematics) through the conceptual lens of another (music). As such, this article reports on no experiments—reading the article is the experiment. Each reader performs it for themselves.
Recommended Citation
Irida Altman, "The Urysohn Lemma: Munkres Variation," Journal of Humanistic Mathematics, Volume 16 Issue 2 (July 2026), pages 334-349. . Available at: https://scholarship.claremont.edu/jhm/vol16/iss2/18
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