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The principle of induction referred to in the textbook is actually the first principle of mathematical induction. State this principle. Why does an inductive proof

  1. The principle of induction referred to in the textbook is actually the first principle of mathematical induction. State this principle.
  2. Why does an inductive proof need a base case?
  3. Why does an inductive proof need an inductive hypothisis?
  4. The template for an inductive proof has what parts?
  5. What is the major difference between the inductive hypothesis of the first principle of mathematical induction compared to that of the second principle of mathematical induction?
  6. What is meant by structural induction?
  7. Self-reference occurs in what step of an inductive proof?

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