mathematical induction Method of proving that a mathematical statement is true for any positive integer n by proving: (1) that it is true for a base value, for example 1; and (2) that if it is true for a value k then it is also true for k + 1. If (1) and (2) hold, then it follows in a finite number of steps that the statement is true for any positive integer n.
More From encyclopedia.com
Induction (logic) , In mathematics, induction is a technique for proving certain types of mathematical statements. The induction principle can be illustrated by arrangin… Encyclopedia.com. , true / troō/ • adj. (tru·er , tru·est ) 1. in accordance with fact or reality: a true story of course it's true that is not true of the people I am t… Proof (mathematics) , Proof A proof is a logical argument demonstrating that a specific statement, proposition, or mathematical formula is true. It consists of a set of as… Number , Number Numbers are central to science. They underlie what Galileo Galilei and Isaac Newton called the primary properties of things, the properties th… Theorem , Theorem A theorem (the term is derived from the Greek theoreo, which means I look at ), denotes either a proposition yet to be proven or a propositio… Consistency , Mathematics contains a number of different systems, but each mathematical system, no matter how different it may be from another, has consistency as…
About this article
Updated About encyclopedia.com content Print Article
You Might Also Like
Mathematical Induction Provides a Tool for Proving Large Problems by Proceeding through the Solution of Smaller Increments