A singleton point is a closed set. The natural numbers can be written as a countable union of points. Thus, they form a Borel set.
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Well, honey, the intersection of the set of whole numbers and the set of natural numbers is the set of all positive integers. In other words, it's the numbers that are both whole and natural, which means it starts from 1 and goes on forever. So, there you have it, the sassy math lesson of the day!
false, the set of natural numbers does not include 0, which can be considered a whole number.
Traditionally, the set of integers that represents the natural numbers is {1,2,3,...}, which are the positive integers. Some people include the non-negative integers as the set of natural numbers, which is {0,1,2,3,...}, and includes 0.
natural
0,1,2,3...