What are the properties of the power set of the set of all integers?

1 Answer

Answer :

answer:Do you know what a power set is? If not, see the definition. Basically, you are dealing with sets instead of numbers. Each element of the domain and codomain is either a set of integers or the empty set. In other words, you are mapping (sets of integers and the empty set) to (sets of integers and the empty set). If you haven’t looked at the wiki page on power sets, it’s worth checking out. There’s some good information there that should help your thinking. For instance, it explains that the power set of a countably infinite set (like the integers) is uncountably infinite. If you have more specific questions, I can try to help you more. As it is, I’m not really sure if I’ve given you the kind of information you’re looking for. I also don’t know your current level of mathematics, so I’m not sure if I’ve explained too much or not explained enough in this answer. If you need me to elaborate on anything here, let me know.

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