> The set of all sets in a space, X, is called the power set, P(X). The power set is massive and, even if the space X is well-behaved, the corresponding power set can often contain some less mathematically savory elements. Consequently when dealing with sets we often want to consider a restriction of the power set that removes unwanted sets.

I wish people could teach math in plain English. I don't know why the math and physics world refuses to write for the reader. I took this class before, and I still don't know what the author means by "less mathematically savory elements".

Here's you explain things to humans:

> There is a set called the power set that contains all the sets in a space. This set is huge, and it contains [less mathematically savory elements]. This is why we usually use a restricted version that removes the unwanted sets.

Seriously, there's no point to this sort of fancy language. Math is already hard. No need to make it harder.