SOLUTION: Is this argument valid or invalid? Can you help me construct a truth table? Thank you!
P↔W, -(P&W) ├ -(P v W)
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Question 980258: Is this argument valid or invalid? Can you help me construct a truth table? Thank you!
P↔W, -(P&W) ├ -(P v W)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
|
|
|
|
Premise |
Premise |
Conclusion |
| P |
W |
P & W |
P v W |
P <--> W |
~(P & W) |
~(P v W) |
| T |
T |
T |
T |
T |
F |
F |
| T |
F |
F |
T |
F |
T |
F |
| F |
T |
F |
T |
F |
T |
F |
| F |
F |
F |
F |
T |
T |
T |
There is no row that has all true premises with a false conclusion. So this argument is valid. An invalid argument only happens when all premises are true leading to a false conclusion.
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