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Monday, April 4, 2011

Inductive vs. Deductive Reasoning

Inductive and deductive reasoning are two methods of logic used to arrive at a conclusion based on information assumed to be true. Both are used in research to establish hypotheses.

Deductive reasoning arrives at a specific conclusion based on generalizations. Inductive reasoning takes events and makes generalizations

Deductive reasoning is reasoning that involves a hierarchy of statements or truths. Starting with a limited number of simple statements or assumptions, more complex statements can be built up from the more basic ones. For example, you have probably studied deductive geometry in mathematics; in it you start with a few principles and prove various propositions using those principles. To prove more complicated propositions, you may use propositions that you have already proved plus the original principles. In more formal logic terms deductive reasoning is reasoning from stated premises to conclusions formally or necessarily implied by such premises.

Inductive and deductive reasoning are two methods of logic used to arrive at a conclusion based on information assumed to be true. Both are used in research to establish hypotheses.

Inductive reasoning is essentially the opposite of deductive reasoning. It involves trying to create general principles by starting with many specific instances. For example, in inductive geometry you might measure the interior angles of a group of randomly drawn triangles. When you discover that the sum of the three angles is 180° regardless of the triangle, you would be tempted to make a generalization about the sum of the interior angles of a triangle. Bringing forward all these separate facts provides evidence in order to help support your general statement about the interior angles.

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