Objective
To use the Law of Detachment and the Law of Syllogism
In the Solve It, you drew a conclusion based on several facts. You used deductive reasoning. Deductive reasoning (sometimes called logical reasoning) is the process of reasoning logically from given statements or facts to a conclusion.
Essential Understanding Given true statements, you can use deductive reasoning to make a valid or true conclusion.
Law
If the hypothesis of a true conditional is true, then the conclusion is true.
Symbols
If |
|
is true |
and | p | is true, |
then | q | is true. |
To use the Law of Detachment, identify the hypothesis of the given true conditional. If the second given statement matches the hypothesis of the conditional, then you can make a valid conclusion.