SOLUTION: S = (N v H) / S v ~N // S ⊃ H
This argument is:
a. Invalid; fails in 1st line.
b. Invalid; fails in 2nd line.
c. Invalid; fails in 5th line.
d. Invali
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Question 873855: S = (N v H) / S v ~N // S ⊃ H
This argument is:
a. Invalid; fails in 1st line.
b. Invalid; fails in 2nd line.
c. Invalid; fails in 5th line.
d. Invalid; fails in 4th line.
e. Valid
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
An argument is only invalid when you have all true premises and a false conclusion.
Make a truth table to get
S
|
N |
H |
~N |
N v H |
S = (N v H) |
S v ~N |
S -> H |
| T |
T |
T |
F |
T |
T |
T |
T |
| T |
T |
F |
F |
T |
T |
T |
F |
| T |
F |
T |
T |
T |
T |
T |
T |
| T |
F |
F |
T |
F |
F |
T |
F |
| F |
T |
T |
F |
T |
F |
F |
T |
| F |
T |
F |
F |
T |
F |
F |
T |
| F |
F |
T |
T |
T |
F |
T |
T |
| F |
F |
F |
T |
F |
T |
T |
T |
and in line 2, there are all true premises, but a false conclusion.
This means we have an invalid argument and it looks like the argument fails on line 2 (of the truth table).
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