1. Hilbert's Grand Hotel with a series twist.
- Author
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Wijeratne, Chanakya, Mamolo, Ami, and Zazkis, Rina
- Subjects
- *
PARADOX , *INFINITE series (Mathematics) , *CALCULUS problems , *FAMOUS problems in symbolic & mathematical logic , *INFINITY (Mathematics) , *LIMITS (Mathematics) , *MATHEMATICAL series - Abstract
This paper presents a new twist on a familiar paradox, linking seemingly disparate ideas under one roof. Hilbert's Grand Hotel, a paradox which addresses infinite set comparisons is adapted and extended to incorporate ideas from calculus – namely infinite series. We present and resolve several variations, and invite the reader to explore his or her own variations. [ABSTRACT FROM PUBLISHER]
- Published
- 2014
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