Test the validity of the argument. Tell and show why the argument is valid or invalid.Either I went to the doctor or I went to the dentist. If I went to the dentist, I had a tooth removed. I did not have a tooth removed. Therefore, I went to the doctor.
What will be an ideal response?
| Let | p = "I went to the doctor" |
r = "I had a tooth removed"
| 1. | p ? q | Hypothesis |
| 2. | q ? r | Hypothesis |
| 3. | ~r | Hypothesis |
| 4. | ~q | Modus Tollens (2, 3) |
| 5. | p | Disjunctive Syllogism (1, 4) |
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