- Last time: Real Numbers.
- Today:
- Reminder:
- Project Assignment 1 (due 10/5).
- Infinity - so mysterious! (Are mathematicians trying to take all
the fun out of it?! Of course not! We relish the mind-blowing
mystery....)
- William Blake (from Auguries of Innocence):
-
To see a World in a Grain of Sand
And a Heaven in a Wild Flower,
Hold Infinity in the palm of your hand
And Eternity in an hour.
- We start with the idea of number (e.g. What does "2" mean?).
- What is a one-to-one correspondence, and how is it useful?
- What is infinity?
- Let's look at some problems:
- Next time: Getting to infinity
one thing at a time (via one-to-one correspondences)
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