Yes. Even numbers greater than 100 is a well defined set. (Although it is a set with an infinite number of members)
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.
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.
Prime numbers have only 2 factors and their set is not well defined because they do not follow an orderly mathematical pattern.
yes
Yes. Even numbers greater than 100 is a well defined set. (Although it is a set with an infinite number of members)
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.
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.
Any well-defined set of numbers.
Prime numbers have only 2 factors and their set is not well defined because they do not follow an orderly mathematical pattern.
Because the description which is given is sufficient to decide whether or not any given number is in the set.
yes
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.
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.
Yes, except for one thing: mathematicians are not agreed whether 0 belongs to it.
Yes, except for one thing: mathematicians are not agreed whether 0 belongs to it.
A well-defined set is a collection of distinct objects or elements that can be clearly identified and have a specific membership criterion. This means that for any given object, it can be definitively determined whether it belongs to the set or not. Examples of well-defined sets include: The set of all even numbers. The set of prime numbers less than 20. The set of planets in our solar system. The set of all U.S. states. The set of all vowels in the English alphabet.