First, some helpful definitions:
intellectual - Of or relating to the intellect. (n) a person of superior intellect. Intellectual implies not only having a high degree of understanding, but also a capacity and taste for the higher forms of knowledge
intellect - The ability to learn and reason; the capacity for knowledge and understanding.
anti-intellectual - Opposed or hostile to intellectuals or intellectual views. (In other words, opposed to the ability to learn and reason, and against those with the capacity to grow in knowledge and understanding.)
Now here's a great example of anti-intellectualism from Jesus-is-Lord.com (thanks to Kelly for pointed it out): THE BASIC SCIENTIFIC ARGUMENTS FOR GEOCENTRICITY