## AG. The Eagle

How to do infinitely many things in a few minutes!

Amazingly, there are as many rational numbers as counting numbers!

We also discuss Zeno’s paradoxes and a famous summation problem.

1. ### Shawn said,

January 21, 2012 at 7:45 pm

Could the eagle problem be solved using integrals?

2. ### strauss said,

January 24, 2012 at 5:56 pm

Mebbe, but there are some much simpler ways to go about things! The answer we discuss is probably the simplest…

3. ### Shawn said,

January 24, 2012 at 9:15 pm

I only ask the question because I brought up a similar question with my Calculus 1 with Analytic class involving an insect that flies between two approaching trains until they collide.
[spoiler] Wolfram MathWorld has an article that discusses the distance = rate * time solution as well as the infinite summation for the version of the problem they have. I think I remember the definition of area being given as an infinite limit of summation, which could also be expressed with an integral.
http://mathworld.wolfram.com/TwoTrainsPuzzle.html [/spoiler]