Use the method of writing each premise in symbols in order to write a conclusion that yields a valid argument.
-Smiling people are happy. Alert people are not happy. Careful drivers are alert. Careless drivers have accidents.
A)Careful drivers are happy.
B)People who smile are alert.
C)People who smile have accidents.
D)Careful drivers have accidents.

Question

Quizplus · Accepted Answer

The premises can be symbolized as follows:  1. S → H (Smiling people are happy)  2. A → ¬H (Alert people are not happy)  3. C → A (Careful drivers are alert)  4. D → A (Careless drivers have accidents)  From these, we can deduce:  - If someone is smiling (S), they are happy (H).  - If someone is alert (A), they are not happy (¬H).  - Therefore, smiling people cannot be alert.  - Careless drivers have accidents, which implies they are alert.  - Therefore, people who smile (S) have accidents (D) because they cannot be alert (A) and happy (H) at the same time.

Use the Method of Writing Each Premise in Symbols in Order