Franz and Georg: Cantor\u27s Mathematics of the Infinite in the Work of Kafka

摘要

The infinite plays a significant role in many of Franz Kafka\u27s stories. In this note we show that a version of the middle-thirds Cantor set construction appears in Kafka\u27s Great Wall of China. His description of the Wall\u27s construction mirrors an iterated system of functions whose limit set is the Cantor set; we present the relevant mathematical details and a close reading of the text of the story to illustrate this metaphor.