Proof method: Strong Induction. As I promised in the Proof by induction post, I would follow up to elaborate on the proof by induction topic. Here is part of the follow up, known as the proof by strong induction. This is useful. I just started a discrete math course and strong induction is Mathematics Learning Centre, University of Sydney 1 1 Mathematical Induction Mathematical Induction is a powerful and elegant technique for proving certain types of mathematical statements: general propositions which assert that something is true for all positive integers or for all positive integers from some point on. The principle of mathematical induction states that if for some property P(n), we have thatP(0) is true and For any natural number n, P(n) > P(n + 1) Then For any natural number n, P(n) is true. Mathematical Induction. The process to establish the validity of an ordinary result involving natural numbers is the principle of mathematical induction. There are several different methods for proving things in math. One type you've probably already seen is the "two column" proofs you did in Geometry. In the Algebra world, mathematical induction is the first one you usually learn because it's just a set list of steps you work through. Discrete mathematics is the branch of mathematics dealing with objects that can consider only distinct, separated values. This tutorial includes the fundamental concepts of Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction, and Recurrence Relations, Graph Theory, Trees and Covers strong induction as a tool for proofs. Introduction to invariants with different games, including the n-block game and grid puzzles. Courses » Electrical Engineering and Computer Science And there's some very famous examples in the math literature from Mathematical Induction in Algebra 1. Prove that any positive integer n > 1 is either a prime or can be represented as product of