A well-founded set is a set with a partial order such that it contains no infinite descending chains. If the order is a total order then the set is called a well-ordered set. |
A well-founded set is a set with a partial order such that it contains no infinite descending chains. If the order is a total order then the set is called a well-ordered set. |
On reason that well-founded sets are interesting is because mathematical induction can be used on them. |
One reason that well-founded sets are interesting is because transfinite induction can be used on them. |
One reason that well-founded sets are interesting is because transfinite induction can be used on them.