Although his point about riddles and puzzles is very true I think mathematics is very much a natural science.
> I wish the author had gone a little bit further and
> spoke about how many reals there are compared to the
> rationals, continuum hypothesis, etc.
I intend to turn this into a growing series, related to this idea: http://news.ycombinator.com/item?id=672067
There I thought I'd start with fractions, basically from the ground up, but I think that's wrong. I think I want to engage people first, then "drill down" on demand. The comment about wanting more about the cardinality, the C.H. and related stuff is what I was looking for.
Perhaps I can do one a week. Or so.