Note 3

It is difficult for us to think about infinity because our minds are finite, and we can't easily see or touch anything that is infinite. Here is one way to try to imagine it. First, think about the counting numbers. We know that there is no largest counting number -- that you can always add 1 to a counting number and get a larger one. This means that there is an infinite number of counting numbers. In this section, we will compare other infinite sets to the set of counting numbers.

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