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Hilbert's Grand Hotel with a series twist.
- Source :
-
International Journal of Mathematical Education in Science & Technology . Aug2014, Vol. 45 Issue 6, p904-911. 8p. - Publication Year :
- 2014
-
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]
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 45
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 97048438
- Full Text :
- https://doi.org/10.1080/0020739X.2013.872307