Q: How do you designate the set of natural numbers?

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{0,1,2,3,....}

All of the natural numbers.

0 and negative integers are all whole numbers but they are not natural numbers.

The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.

The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:Zero is a natural number.Every natural number has a successor in the natural numbers.Zero is not the successor of any natural number.If the successor of two natural numbers is the same, then the two original numbers are the same.If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.

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{0,1,2,3,....}

All of the natural numbers.

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It is the set of natural numbers.

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.

It is the set of natural numbers.

Another name for a set of natural numbers is counting numbers.

If you mean larger by "the set of whole numbers strictly contains the set of natural numbers", then yes, but if you mean "the set of whole numbers has a larger cardinality (size) than the set of natural numbers", then no, they have the same size.

The set of numbers that include the natural numbers, their opposites and 0 is called the set of integers.

Whole numbers are the set of natural or counting numbers inclding zero

false, the set of natural numbers does not include 0, which can be considered a whole number.

0 and negative integers are all whole numbers but they are not natural numbers.