Induction
In mathematics, induction is a technique for proving certain types of mathematical statements. The induction principle can be illustrated by arranging a series of dominoes in a line. Suppose...
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Mathematical Induction Provides a Tool for Proving Large Problems by Proceeding Through the Solution of Smaller Increments
Overview
The development of mathematical induction was one of the great forwa...
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Codification and Employment of the Principle of Mathematical Induction
Overview
Over the course of the nineteenth century, mathematicians and philosophers were forced to change their view of the subje...
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Induction
In mathematics as well as logic, the word induction means "generalization." In logic, it is a process of reasoning from particular situations or conditions to general ones in order to arrive...
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Proof by Induction
Inductive reasoning is sometimes compared to thinking that something will always be a certain way just because it always has been that way: When you predict that the sun will rise i...
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Induction
Mathematical Induction Provides a Tool for Proving Large Problems by Proceeding Through the Solution of Smaller Increments
Induction