Inductive and Deductive Reasoning

• Sep 18th 2008, 05:16 PM
magentarita
Inductive and Deductive Reasoning
What is the basic difference between inductive and deductive reasoning?

How is deductive reasoning used to solve geometric proofs?

Do we use inductive reasoning in terms of geometric proofs?

If so, in what way?
• Sep 18th 2008, 09:05 PM
icemanfan
Inductive reasoning begins with a final conclusion and then describes a thinking process of how to reach the conclusion, whereas deductive reasoning begins with a statement or series of statements from which we can draw conclusions, and then we continue to draw conclusions based upon the previous results to end with the final conclusion.

I think you can use both approaches to solve geometric problems, although it seems to me that the method of proof which is advocated in most high schools today is very deductive in nature.
• Sep 18th 2008, 09:15 PM
magentarita
ok
Quote:

Originally Posted by icemanfan
Inductive reasoning begins with a final conclusion and then describes a thinking process of how to reach the conclusion, whereas deductive reasoning begins with a statement or series of statements from which we can draw conclusions, and then we continue to draw conclusions based upon the previous results to end with the final conclusion.

I think you can use both approaches to solve geometric problems, although it seems to me that the method of proof which is advocated in most high schools today is very deductive in nature.

So, deductive reasoning is the way to go.