Busy Beavers, and the Quest for Big Numbers

1 · Jeremy Kun · Feb. 8, 2012, 7:42 p.m.
Summary
Finding Bigger Numbers, a Measure of Human Intellectual Progress Before we get into the nitty gritty mathematics, I’d like to mirror the philosophical and historical insights that one can draw from the study of large numbers. That may seem odd at first. What does one even mean by “studying” a large number? Of course, I don’t mean we stare at the number 1,000,000,000,000, which is quite large, and wonder how mankind can benefit from its elusive properties....