I study CS, but on the first semester I have a lot of mathematics. Of course, there is an introduction to set theory and logic. Recently, we had lectures about cardinality, different kinds of infinity, countable sets etc. I know the basics, but I don't understand many ideas as I would like to understand them.
Well, I am looking for a book/article/tutorial/etc. which is a good explanation of cardinality, countable sets, idea of different kinds of infinity and cardinality of sets of different functions. Now, I only need sources, which cover the basics, but I don't mind if You post something on higher level (but introduction stuff has greater priority).
PS: I was looking for similar questions on this site, I've found for exaple  and , but it isn't what I'm actually looking for.
I woluld appreciate You help.