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Natural numbers begin from 0 or 1?... now according to modern maths do we consider set of positive integers as natural numbers {0,1,2...}?

""Some definitions, including the standard ISO 80000-2,[1] begin the natural numbers with 0, corresponding to the non-negative integers0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 123, ….[2][3][4][5] Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).""(SOURCE:WIKIPEDIA)

in Set Theory & Algebra by Active (3.5k points)
edited by | 47 views

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natural numbers={1, 2, 3,.....}

positive integers={1, 2, 3, ....}

non-negative integers={0,1,2,3,....}

whole numbers={0, 1, 2, ......}

even numbers ={.....,-2, 0, 2, 4, ......}

odd numbers ={............, -3, -1, 1, 3, 5,...........}
by Junior (941 points)
Thanks .. but this i know ..please see my query again....

And what should we prefer in gate?
We should take natural numbers from 1 and onwards unless otherwise explicitly mentioned.

If they would expect us to use the set containing zero, why wouldn't they prefer mentioning whole numbers or non-negative numbers. This is what I have thought, not sure though.
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