This is just a very quick question and hopefully not poorly received.
Question: Why is it called the inverse galois problem?
The very brief statement given on wikipedia says
Is every finite group the Galois group of a Galois extension of the rational numbers?
That is, are all finite groups isomorphic to a Galois group $\operatorname{Gal}(K/\mathbb{Q})$ for some field $K$?