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I think you mean: is the number zero a member of the set of natural numbers?

ie does 0 ∈ ℕ

The answer is: yes and no - depending upon which definition you use!

The natural numbers are the counting numbers which can be used to count things. eg you can have 1 apple, 2 apples, etc. However, you can also have no apples (0 apples): you had 5 apples and gave them all to your friends and they now have the 5 apples and you have 0 apples.

You can't really count zero apples - it is an absence of apples.

Hence some definitions include zero, others do not.

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Q: Is the number zero a set of natural element?
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Related questions

Why zero is not a natural number?

Zero is not a natural number because the definition of a natural number is the set of positive integers that does not contain zero.


What is the element of the intersection of the set of whole number and the set of natural numbers?

It is the set of natural numbers.


Does natural number 1 have a predecessor?

Yes, the number zero. Currently, the natural numbers are normally taken to start with zero, not with one (this was not always so). The number zero has no predecessor in the set of natural numbers. In the set of integers, however, every number has a predecessor and a successor.


0 is not in the set of?

You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).


Is empty set the same as set of zero?

No. Zero is a number, so the "set of zero" contains one element. The empty set, also known as the null set, contains no elements.


Is the set of zero an element of another set of zero?

No, it is not.


The number 0 is not an element of the set of natural numbers?

true


The number 1 is an example of an element in the set of natural numbers?

True


Do 0 and the null set have the same number of elements?

You can't really compare that, since zero is not a set. The null set (empty set), which can be written as {}, is a set with zero elements. A set that only contains the number zero, in symbols {0}, contains one element. It is not the same as the empty set.


Is zero a element of a set of whole numbers?

Zero (0) is in the set of whole number. The only difference between the set of whole numbers and counting numbers is that the whole numbers contain zero. {0,1,2,3...}


When you combine zero with the set of natural number you the set of whole numbers?

Get a proper subset of whole numbers.


Is a whole number a natural number?

There is some disagreement as to whether zero, a whole number, belongs to the set of natural numbers.