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Because the description which is given is sufficient to decide whether or not any given number is in the set.

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Q: Why is the set of even counting numbers well defined?
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Related questions

Is set of even counting numbers well defined?

Yes, except for one thing: mathematicians are not agreed whether 0 belongs to it.


Does set of even counting numbers is well defined?

Yes, except for one thing: mathematicians are not agreed whether 0 belongs to it.


Is the set of even numbers greater than 100 a well defined set?

Yes. Even numbers greater than 100 is a well defined set. (Although it is a set with an infinite number of members)


Is the set of prime numbers is well defined or not and why?

The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.


Is the set of even counting numbers a well defined or not and why?

Yes it is. Given any number you can decide whether or not it belongs to the set.


Is the set of prime numbers well defined?

The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.


Is whole numbers well defined?

Yes, they ARE.


Is the set of prime numbers well defined or not?

Well, there is a clear definition, and at least in theory you can always determine whether a number is a primer number or not, so I would say, yes.


Is the set of prime numbers are well-defined or not why?

Prime numbers have only 2 factors and their set is not well defined because they do not follow an orderly mathematical pattern.


What set has a specific set of numbers?

Any well-defined set of numbers.


Is the set of prime numbers are well-defined?

yes


How many whole numbers are less than 1000?

Not including -integers or counting 1000, it would be 999. Counting 1000 it would be, well... 1000