Q: Is the set of big people not well defined?

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Big people is a subjective term. This term may mean one thing to someone and another thing to other person. So this set is not well defined.

Yes, the set of happy people is not well defined.

No, the set of big people is not well defined. For example, small children tend to call all adults "big people", even Jerry's Mom, who is only 4'10" tall and weighs 98 lbs. But when Jerry's Mom goes to church, she is the smallest adult there, so she is not considered a big person. Also, when you say big person, does that refer to height or could it also refer to girth? Is a 5'2" person weighing 250 lbs. a big person?

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.

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.

Related questions

No, it is not well defined. "Big" means different things to different people. For example, to a toddler, a teenager is big, to an adult a teenager is not.

Big people is a subjective term. This term may mean one thing to someone and another thing to other person. So this set is not well defined.

Yes, the set of happy people is not well defined.

its not well defined because not all the students/people like the teachers,so it is not well defined

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.

its not well defined because not all the students/people like the teachers,so it is not well defined

No, the set of big people is not well defined. For example, small children tend to call all adults "big people", even Jerry's Mom, who is only 4'10" tall and weighs 98 lbs. But when Jerry's Mom goes to church, she is the smallest adult there, so she is not considered a big person. Also, when you say big person, does that refer to height or could it also refer to girth? Is a 5'2" person weighing 250 lbs. a big person?

No, the set of big people is not well defined. For example, small children tend to call all adults "big people", even Jerry's Mom, who is only 4'10" tall and weighs 98 lbs. But when Jerry's Mom goes to church, she is the smallest adult there, so she is not considered a big person. Also, when you say big person, does that refer to height or could it also refer to girth? Is a 5'2" person weighing 250 lbs. a big person?

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.

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.