Day 20: Heart of Mathematics

Last time: an infinity of infinities: Cantor's mind-blowing proof.
Today:
- The geometry of infinity
  - Segments are equally sized (in terms of cardinality).
  - The real line is no bigger (in cardinality) than a small line segment.
  - Finally: A square is no bigger (in cardinality) than a small line segment. Whew!
  - Let's look at the problems:
    - I.1
    - I.4
    - I.5
    - II.5.
Next time: A visit from Ed

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Updated on 10/14/2003 02:57:16