Mathematics · Set Theory
Which of the following is NOT one of Peano's postulates for natural numbers?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If a set contains 1 (or 0) and the successor of every element in the set, then that set contains all natural numbers.
- 2There is a natural number 1 (or 0) that is not the successor of any natural number.
- 3Associated with each natural number n, there is a unique natural number n' called its successor.
- 4The set of natural numbers is empty.✓
Correct answer
The set of natural numbers is empty.
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