Well-Ordering Principle

The Well-Ordering Principle states that every non-empty set of natural numbers (positive whole numbers) has a smallest element. In other words, if you pick any collection of positive numbers, there is always one that is less than all the others. This idea helps us understand the foundation of counting and number sequences. It ensures that there is a starting point or minimal element in any set of positive numbers, which is essential for defining and working with numbers systematically and logically.