Attached is the lecture attached are 2 questions that require answered.
When is this argument invalid?
| Premise 1 | Premise 2 | Conclusion |
| ~P → Q | P | Q |
When P is true and Q is true.
When P is true and Q is false.
When P is false and Q is true.
When P is false and Q is false.
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Fill in the final column and determine validity.
| Variable | Variable | Premise 1 | Premise 2 | Conclusion |
| P | Q | P & ~Q | ~P | Q |
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T, T, F, F; invalid
T, F, T, F; valid
T, F, T, F; invalid
T, T, F, F; valid
Fill in the final column and determine validity.
| Variable | Variable | Premise 1 | Premise 2 | Conclusion |
| P | Q | ~Q | P → Q | P |
T, T, F, F; invalid
T, F, T, F; valid
T, F, T, F; invalid
T, T, F, F; valid
Which of the following is correct about this argument?
| Variable | Variable | Premise 1 | Premise 2 | Conclusion |
| P | Q | ~P → Q | P | Q |
The argument is invalid because Q is false in the final row.
The argument is valid because Q is true in the first row.
The argument is invalid because Q is false in the second row.
The argument is valid because Q is true in the third row.
