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Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2009
The main purpose of this note is to present and justify proof via iteration as an intuitive, creative and empowering method that is often available and preferable as an alternative to proofs via either mathematical induction or the well-ordering principle. The method of iteration depends only on the fact that any strictly decreasing sequence of…
Descriptors: Logical Thinking, Mathematical Logic, Calculus, Matrices