International Journal of Multidisciplinary Innovative Research (IJMIR)

A peer reviewed journal published by Council of Industrial Innovation and Research (CIIR)

ISSN: 2583-0228

Author Details: Stephen Kcenich
Professor, Department of Mathematics, Statistics and Data Science, TP/SS Campus, Montgomery College, Maryland, United States.
María-Elvira Luna-Escudero-Alie
Department of Humanities–TP/SS Campus, Montgomery College, Maryland, United States.
Email: Stephen.Kcenich@montgomerycollege.edu*, Proyecto_Borges@yahoo.com

Abstract

This paper examines Jorge Luis Borges’s Blue Tigers and The Mirror and the Mask as parallel inquiries into the limits of formal systems: mathematics and language. In Blue Tigers, the chaotic numerical variation of magical stones represents an “aberration of mathematics.” We propose a pedagogical intervention, applying discrete random variables and probability distributions to model the stones’ behavior, demonstrating how statistical reasoning can impose order—yet also revealing its inadequacy before Borges’s intentionally irrational phenomenon. The Mirror and the Mask depict a parallel failure: the court poet’s odes progress from imitation to a transcendent, fatal line that shatters language in pursuit of absolute Beauty. Both narratives feature a hamartia: the logician and poet overreach the capacities of their respective systems. Their crises underscore Borges’s relativistic worldview, where reality eludes full comprehension through logic or words. Ultimately, the paper argues that these stories serve as rich interdisciplinary tools, challenging readers to reflect on the boundaries of knowledge while uniting literary analysis with mathematical concepts in an educational context.

Keywords

Jorge Luis Borges, Blue Tigers, The Mirror and The Mask, Literary Mathematics, Limits of Language, Chaos and Order, Epistemology in Literature, Metaphysical Fiction, Relativism.

Citation (in IEEE Format)

S. Kcenich and M.-E. Luna-Escudero-Alie, “Examination of discrete random variable or ‘The Aberration of Mathematics’ in ‘Blue Tigers’ and the limits of language in ‘The Mirror and the Mask’ by Jorge Luis Borges,” Int. J. Multidiscip. Innov. Res., vol. 6, no. 2, pp. 65–72, Apr. 2026.

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