To Infinity and Beyond
Hilbert's Grand Hotel Paradox
by Maliha Hossain, proud member of the Math Squad
Intro
Video
finite guests, shift one over
one bus
- even number
- odd numbers
infinitely many buses
- prime powers method
- interleaving method
- rational numbers method
References
- R. Kenney. MA 301. "An Introduction to Proof through Real Analysis", Lecture Notes. Faculty of the Department of Mathematics, Purdue University, Spring 2012.
- J. J. Wanko in Vol. 102, No. 7. "Mathematics Teacher" March 2009.
- Youtube
Questions and comments
If you have any questions, comments, etc. please post them below:
- Comment / question 1
