Day 18: Heart of Mathematics

• Last time: the rationals are also countable, since they can be put into one-to-one correspondence with the natural numbers.

• Today:
  • From Saturday Night Live (The Best of Will Ferrell): "Space: the Infinite Frontier"

  • Reminder: Project Assignment 2 (due 10/4): let me know what your topic is, and some preliminary details about what your poster will cover.

  • Project idea: Knots and links (section 5.4)

  • The proof: "Dodge Ball" revisited

    "From the paradise created for us by Cantor, no one will drive us out."

    David Hilbert.

  • Let's look at the problems:
    • I.4, 6, 8, 9
    • II.1, 2, 4.

• Next time: The Power Set, and Russell's Paradox

Links:

• George Cantor, driven to distraction (or at least depression) by infinity!
• David Hilbert