What is ∞ + ∞ = ????

[Kernel Sohcahtoa]

Sets don't always contain numbers.  For example, the elements of a power set are sets. To clarify, the infinite set of all positive integers is an element in the power set of the set of all positive integers. Thus, in this instance, we have an infinite element in an infinite set.

Is a countable set more finite than an uncountable set?

What confuses me, is the uncountability of something kind of suggests infinity to me. If you have a truly infinite number of something . . . how can you count it?

I'm guessing they're just math terms. I suck at math.

I apologize for my initial response to you.  It was not very good: I got carried away with terms and ideas, rather than concisely expressing the ideas and breaking them down into simple concepts, which in all honesty, is a talent that I lack (I could never teach this stuff).

I wouldn't be too quick to say that you suck at math.  For me personally, my studies of math have more or less made me aware of how average I am at the topic, yet, nevertheless, it has been interesting and rewarding: I have gained an appreciation for the topic and for those who actually have talent and aptitude for it.  Hence, given that you have a logical mind and that you are very bright, perhaps math could be a stimulating/enjoyable topic for you, one which you may very well accel at, provided that you are interested in learning it.