Sergei Yakovenko's blog: on Math and Teaching

Sunday, November 13, 2011

Lecture 2. November 8, 2011

Infinity: first accurate steps

  1. Finite and infinite subsets of \mathbb N.
  2. Admissible infinite operations: infinite unions and intersections. Quantifiers.
  3. “Small” and “large” infinite subsets of \mathbb N.
  4. One-to-one maps as the means of comparison between various infinite sets.
  5. The first “paradox”: \mathbb N\times\mathbb N\simeq\mathbb N.

Download the pdf file for the complete exposition.

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