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Q: Why is a set of even numbers is well defined?
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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 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.


What set has a specific set of numbers?

Any well-defined set of numbers.


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.


Why is the set of even counting numbers well defined?

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


Is the set of prime numbers are well-defined?

yes


Which is not well defined set?

If there exists even one single item for which you cannot say whether it is in the set or not, the set is not well defined.


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 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.


What are not well defined elements of a set?

Elements that have to be defined by personal judgement. Such as the set ofgreat songs is not well-defined. But the set of the English alphabet is well-defined.