infinity

It's a tough question, because the word "infinity" can mean different things in different contexts. In mathematics, whether or not a certain concept exists can depend on the context in which you ask the question. If you want to know more about this, you can refer to a fuller explanation of how a mathematical concept can exist in some contexts but not in others. Here are some of the contexts in which the question "is …

…any object called "infinity" that can serve as the answer to the question "how many elements are there in the infinite set {1, 2, 3, . . . }"? the answer is a qualified yes; however, we really shouldn't use the word "infinity" for this one object alone, because there are other infinite sets with different sizes. For more information, see the section describing the reasons for this. For more information on the above topics, refer to one of the sections below: