In this spirit, I am thankful for the second Borel-Cantelli lemma, which states that if countably many events E

_{1}, E

_{2}, E

_{3}, ... are independent and the sum of the probabilities of the E

_{n}diverges to infinity, then the probability that infinitely many of them occur is 1. Let these events be "something interesting happens at time

*n*", for a suitable quantization of time; then given infinite time, infinitely many interesting things will happen. (Of course I'm making an independence assumption here.) I like interesting things.

I am also thankful for whoever it was that took a picture of a monkey at a typewriter.

## 1 comment:

I'm thankful you only need pairwise independence.

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