Intermediate Discrete Mathematics & Math
Q52 / 100

What is the Principle of Mathematical Induction and Well-Ordering?

Correct! Well done.

Incorrect.

The correct answer is B) Both are equivalent: induction is based on the well-ordering principle (every non-empty subset of ℕ has a minimum element), and each implies the other over ℕ

B

Correct Answer

Both are equivalent: induction is based on the well-ordering principle (every non-empty subset of ℕ has a minimum element), and each implies the other over ℕ

Explanation

Well-ordering principle: every non-empty set of natural numbers has a least element. This is equivalent to (strong) mathematical induction. Both are axioms of ℕ, each derivable from the other.

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