Arranged logically and antecedent and consequent indicated:
If a man is properly educated (antecedent), he will not despise manual labor (consequent);
You despise manual labor (dislike to work with your hands),
∴ You have not been properly educated.
The minor premise denies the consequent, hence the argument is valid according to the rule, “The minor premise must affirm the antecedent or deny the consequent.” The student should note that the consequent is negative and therefore its denial must be an affirmative proposition.
Reduced to the categorical:
E A G
properly educated man will not M
despise manual labor;
A S
You despise M
manual labor,
E ∴ S
You have not been G
properly educated.
Regarded categorically this is valid. Why?