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

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.