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This is not the first time I have found differences between math taught in both countries. Checking various textbooks, British books tend to count 0 as a natural number while American books don't. This question came up today with one of the students I tutor. According to this convention, zero is not a natural number. I call the positive integers "the positive integers" As I said, just state whether you assume zero is included or not. ? UpdateĪs you can see below in the comments, this topic has created quite a bit of discussion. So the set theorists and the computer scientists should just conform. Anyway, it matters if students lose marks in assessments because there is disagreement about the definition. So who cares? This situation is strange because mathematics is normally a very precise science and there is normally broad agreement about such definitions. "The Natural Numbers (taken as 1,2,3,4.) are blah blah blah." The safest thing is to state whether you are including 0 or not when talking about Natural Numbers. The former definition is generally used in number theory, while the latter is preferred in set theory and computer science.
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) or a non-negative integer (0, 1, 2, 3, 4. In mathematics, a natural number is either a positive integer (1, 2, 3, 4. I used to get my students to remember the difference between Natural Numbers and Whole Numbers by saying the natural numbers can be counted using your fingers and the first finger looks like a 1, while the word "whOle" has a zero in the middle, thus the Whole Numbers include 0.
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Normally I have always taken the Natural Numbers to start at 1 and not to include zero. Subash, a user of my math site ( Interactive Mathematics) asked recently whether 0 is a Natural Number or not.
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