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April 18, 2014

April 18, 2014

Posted by **Kathryn** on Friday, December 10, 2010 at 9:49am.

2. Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deductive reasoning and describe how each can help you develop and prove theorems.

- repost -
**MathMate**, Friday, December 10, 2010 at 10:40amSee:

http://www.jiskha.com/display.cgi?id=1291952124

For the second part:

Basically deductive reasoning is used in rigorous mathematical proofs, and the conclusion based on sufficient facts should be necessarily true. Inductive reasoning is a form of generalization based on limited facts or observations, so the validity is not necessarily guaranteed. Do not confuse inductive reasoning with "mathematical induction" which is a rigorous mathematical proof.

read up on:

http://en.wikipedia.org/wiki/Inductive_reasoning

and

http://en.wikipedia.org/wiki/Deductive_reasoning

We will be glad to critique your write-up on the subject.

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