Why do recreational Mathematics?
1) The line between recreational and serious mathematics is thin. Some of the problems in so-called recreational math are harder than they look.
2) Inspiring. Both Lance and I were inspired by books by Martin Gardner, Ray Smullyan, Brian Hayes, and others.
3) Pedagogical: Understanding Godel's Inc. theorem via the Liar's paradox (Ray S has popularized that approach) is a nice way to teach the theorem to the layperson (and even to non-laypeople).
4) Rec math can be the starting point for so-called serious math. The Konigsberg bridge problem was the starting point for graph theory, The fault diagnosis problem is a generalization of the Truth Tellers and Normals Problem. See here for a nice paper by Blecher on the ``recreational'' problem of given N people of which over half are truth tellers and the rest are normals, asking questions of the type ``is that guy a normal'' to determine whose who. See here for my writeup of the algorithm for a slightly more general problem. See William Hurwoods Thesis: here for a review of the Fault Diagnosis Literature which includes Blecher's paper.
I am sure there are many other examples and I invite the readers to write of them in the comments.
5) Rec math can be used to inspire HS students who don't quite have enough background to do so-called serious mathematics.
This post is a bit odd since I cannot imagine a serious counter-argument; however, if you disagree, leave an intelligent thoughtful comment with a contrary point of view.
by GASARCH (firstname.lastname@example.org) at February 20, 2017 04:25 AM UTC