Hilbert's Grand Hotel with a series twist

• Autores: Chanakya Wijeratne, Ami Mamolo, Rina Zazkis
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 45, Nº. 6, 2014, págs. 904-911
• Idioma: inglés
• DOI: 10.1080/0020739x.2013.872307
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• Resumen

  • 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.