Affirming the Consequent, Denying the Antecedent.
Even if both premises are true, the syllogism may still be invalid.
Antecedent |
Consequent |
Affirming the Antecedent (correct) |
|
If A If I work at Victoria's Secret |
Then B I must be sixteen or older. |
A I work at Victoria's Secret |
Then B Therefore I am over sixteen. |
|
|
Denying the Consequent (correct) |
|
If A If I work at Victoria's Secret |
Then B I must be sixteen or older. |
Not B I am not yet sixteen |
Then Not A I do not work at Victoria's Secret |
|
|
Affirming the Consequent (incorrect) |
|
If A If I work at Victoria's Secret |
Then B I must be sixteen or older. |
B I am over sixteen |
Then A I work at Victoria's Secret |
|
|
Denying the Antecedent |
|
If A If I work at Victoria's Secret |
Then B I must be sixteen or older. |
Not A I do not work at Victoria's Secret |
Then Not B Therefore I am not yet sixteen |
If I am a student at Wake Forest, then I am in college.
If I am eating shrimp, I am eating seafood.
If I am driving a Lexus, I am driving an automotive vehicle.
If I am at the Louvre, I am in Paris.
If McCain wins in South Carolina, he will win the nomination.
If I work at Victoria's Secret, then I am sixteen or older.
If I have eaten spaghetti, I must like Italian.
If my birthday is July 16, my sign is Cancer.
If play in the ACC, then I am a division I athlete.