Which of the following orders are well-founded? Select all that apply.
(Hint: Recall that a partially ordered set is said to be well-ordered if every descending chain of elements is finite. In this case, the partial order is called a well-founded order.)

Question

Which of the following orders are well-founded? Select all that apply. 
 (Hint: Recall that a partially ordered set is said to be well-ordered if every descending chain of elements is finite. In this case, the partial order is called a well-founded order.)

Accepted Answer

The set  ℕ  of natural numbers, where x  ≺  y means x < y.

Accepted Answer

The set {…, -3, -2, -1} of negative integers, where x  ≺  y means x > y.

Answer

The set  ℕ  of natural numbers, where x  ≺  y means x > y.

Answer

The set {…, -3, -2, -1} of negative integers, where x  ≺  y means x < y.

Crowdly

Which of the following orders are well-founded? Select all that apply. (Hint: ...

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