The set of counting numbers is denoted by N.
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The symbols used for counting in math are called numbers, or numerals. They can be whole numbers, or fractions of parts of a number.
Counting numbers are the positive integers: 1, 2, 3, and so on. Natural numbers are the counting numbers along with the number 0.
counting numbers
There is some disagreement. Some people include zero in the set of natural numbers (like whole numbers), some people don't (like counting numbers).
positive integers