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Well-Ordering Principle Explained by Văn Thành Trương is a document available to read on EtoBox.

What is Well-Ordering Principle Explained about?

The document proves that the well-ordering principle is equivalent to mathematical induction. It uses strong mathematical induction to show that any non-empty subset of the natural numbers has a least element. The proof considers two cases: either the element being considered is the least, or there is a smaller element for which the principle already holds by the inductive hypothesis. This establishes the well-ordering principle.

Author

Văn Thành Trương

Language

EN