[davidshepherd7]

There are infinite types of infinity not just two. The result is that they found that two types of infinity that were long assumed to be different turned out to be the same.

This is more interesting than it sounds because these infinities are in between (but possibly equal to one of) the size of the natural numbers and the size of the real numbers. There are hard limits on what can be known about such infinities in the usual mathematical framework (zfc): it's impossible to prove if an infinity which is strictly between the two exists. The hypothesis that no such​ infinity exists is called "the continuum hypothesis".

Writing this on mobile, but I hope I've made sense...