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:::↳ [[Math_Squad_infinity_review_of_set_theory_countablity_mhossain_S13|Countability]]
 
:::↳ [[Math_Squad_infinity_review_of_set_theory_countablity_mhossain_S13|Countability]]
 
:::↳ [[Math_Squad_infinity_review_of_set_theory_cardinality_mhossain_S13|Cardinality]]
 
:::↳ [[Math_Squad_infinity_review_of_set_theory_cardinality_mhossain_S13|Cardinality]]
::↳ [[Math_Squad_infinity_Hilbert_hotel_mhossain_S13&action|Hilbert's Grand Hotel]]
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::↳ [[Math_Squad_infinity_Hilbert_hotel_mhossain_S13|Hilbert's Grand Hotel]]
  
  

Revision as of 19:48, 19 May 2013

Math Squad

To Infinity and Beyond. Introduction
Review of Set Theory
Functions
Countability
Cardinality
Hilbert's Grand Hotel




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



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