Mathematical Induction

Mathematical Induction

   With the introduction of simple mathematical induction comes an interesting view as opposed to that which is taught in MAT137. We were presented with the idea of using boolean values to express mathematical inductions such as if P(0) is equal to true, then mathematical induction would dictate that all values of P(x) would also be true. That assuming the function holds for all values of x. Otherwise we would get false values ridden within function results. And not so that we could pick the start point somewhere later. More so how we were taught mathematical induction in MAT137 was demonstrated really well by another student Christian in his slog entry. He took a more mathematical approach testing the base case 1, assuming the case of n and showing that the case of n + 1 holds for various functions. Overall I can see the practicality of mathematical induction for proofs and am interested in the various over mathematical induction methods.