Math

Metamathematical Teakettle

Problem: you want to make coffee. In front of you is a coffee maker with freshly-ground coffee, and filled with water. It is turned off. What do you do? Answer: define a mapping from coffee to tea, thus reducing the problem to a previous joke.

Math · Miscellaneous

This Article Is About Self-Reference and Complexity (but This Title Isn’t)

I’m reading Douglas Hofstadter’s I Am A Strange Loop, and there’s something that doesn’t sit well with me. In Chapter 4, he discusses his fascination with self-reference and feedback loops of all kinds. He talks about the operation of a toilet, in which water enters the tank, which raises the floater, which in turn cuts… Continue reading This Article Is About Self-Reference and Complexity (but This Title Isn’t)