Sources:
Most of this article is based on notes taken by me during a lecture by Krzysztof Ciesielski (Ph.D.) at the Jagiellonian University in Krakve. Nevertheless, below I cite some interesting webpages that can be a good start in your number theory research: https://www.ias.edu/ideas/2011/kennedy-continuum-hypothesis - Can the Continuum Hypothesis Be Solved? by Juliette Kennedy https://en.wikipedia.org/wiki/Hilbert’s_paradox_of_the_Grand_Hotel - a thorough description and analysis of the Hilbert’s Hotel problem.
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