For Review Exercises 21 to 26, assume that statements 1 and 2 are true. Draw a conclusion where possible.
1) If Mara goes to an Italian restaurant for dinner, she will order the chicken broccoli alfredo.
2) Mara goes to Red Lobster seafood restaurant for dinner.
C) ?
To find:
The conclusion of given statement using deduction.
Approach:
Deduction:
Deduction is a type of reasoning in which the knowledge and acceptance of selected assumptions guarantee the truth of a particular conclusion.
Law of Detachment:
This form of deductive reasoning is frequently used in the development of geometry. In this form, at least two statements are treated as facts; these assumptions are called premises of the argument. On the basis of premises, a particular conclusion must follow.
Let P and Q represent simple statements, and assume that statement 1 and 2 are true. Then a valid argument having conclusion C has the form
1. If P, then Q | |
2. P | premises |
C. |
conclusion |
The symbol
An invalid argument having conclusion C has the form
1 |
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