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True or false depending on who you ask. It is a matter of convention. Long ago before people accepted the concept of 0, it wasn't included. Then when people began making formal constructions of the natural numbers in the 19th century they saw that it made a lot of sense (read: it was convenient) to include 0. People are still pretty well split on it today with allegiances sometimes depending on the exact field of the person in question.

If you were to ask me personally: yes yes yes yes yes. But there are people out there who would say no. It comes down to preference of convention. However, as noted already, when you actually try to axiomatically or set theoretically construct the natural numbers, it is almost downright foolish to not include 0 (though of course that is an opinion too, but most people who have studied such constructions would likely agree).

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Q: Zero is an element of the set of natural numbers?
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Related questions

What is a set of numbers including zero and all the counting numbers?

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


Is Zero an element of the set of natural numbers?

Mathematicians are not agreed on this point. Some use N and N+ to distinguish between the set of Natural numbers including 0, and not including 0.


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

True. Zero is in the set of whole numbers, integers, rational numbers and real numbers but not natural numbers. Natural numbers are often referred to as the "counting numbers" or how you learned to count. When we are teaching little children numbers, we never start with zero or negative numbers - just 1, 2, 3...


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.


What is a set of natural numbers and zero?

The set of natural numbers plus zero is the set of all non-negative integers. Please note that the definition for the set of natural numbers is ambiguous. Some definitions include zero, while others exclude it.


Zero is not an element of the set of whole numbers?

False.


Zero is an element of the set of whole numbers?

Yes.


What is the Set of natural numbers and zero?

0,1,2,3...


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...}


What is a set of numbers conttaining all natural numbers and natural negative numbers including zero?

The set of integers, Z.


A member of the set that includes natural numbers and zero?

The extended set of natural numbers, or the non-negative integers.


Why is the set of natural numbers better known as the set of counting numbers?

-The set of natural numbers= is also known as the set of counting numbers because its lowest element is one and it has no longest or highest element,Counting is an endless process. The set of natural numbers is represented by the capital letter N such that N=( 1,2,3 ) -THE SET OF WHOLE NUMBERS- IS COMPOSED OF ELEMTNS OF THE SET OF NATURAL NUMBERS plus the number zero the set of whole number is represented by the capital letter W. W= ( 0,1,2,3 ............................ ) COPY TUT SO U WILL GO PERFECT FOR YOUR ASSIGNMENT. :)) GOODLUCK GUYS.LOVEYOU.HAVE FUN. :)