Irrational Inquiries is an expository math blog for lay people. I'm endeavoring to assume as little background knowledge as I can get away with. (The ideal reader will be comfortable with the arithmetic of the rational numbers, but this may not turn out to be strictly required.) In the next however-many posts, I hope to write about

- axiomatic treatments of the natural numbers, integers, rational numbers, and real numbers;
- constructions of the same within set theory;
- counting infinite sets; and
- the notion of continuity.

Hopefully the posts (well, post currently) will be of interest to some folks here. There are a lot of people here for which everything will be very elementary, but I'm hoping those people might still be willing to offer suggestions/criticisms/mockery. I've never really tried to maintain a blog before, and so I'm pretty much making it up as I go along.