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Is the set of happy people not well defined?
Yes, the set of happy people is not well defined.
What is proper set in math?
It is a set that is well defined.
How do you describe what is set?
A set is a well defined collection of elements
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)
What is the well defined set?
A well defined set is one that you know exactly what is meant when you read it. For example, the set of all people 6' 1" tall is well defined. Whenever you meet someone, if they're 6'1" tall, they're in the set. Otherwise, they're not. You know exactly what I mean. So that set is well defined. The set of all cute shoes is not well defined. Jane just adores buckles, so any shoe with a buckle is cute to her. But Martha likes plain shoes. Buckles are big, ugly things that detract from the shoe. So a shoe with a buckle is not cute to Martha. So the set of all cute shoes is not well defined, because you can't just look at it and determine if it belongs in the set. So the set of all buckled shoes would be well defined, but the set of all cute shoes is not.
