Hi, Ahhe,
Good question. Thank you for sharing your analysis. Let's diagram this question:
- AA = Arousal of Anger
LA = Legitimate Artistic Aim
CB = Concerned with Beauty
CI = Concrete Intervention
- AA LA
- AA CI
- LA CB
- Conclusion: ~(LA CB), "Concern for beauty is not a necessary condition for legitimate art."
The conclusion could also be diagrammed thus:
- LA CB
To establish with certainty that there exists Legitimate Art that is not concerned with beauty using the premises, we must also find information about something else that is Legitimate Art. What do we know is Legitimate Art? We know
some Arousal of Anger works are Legitimate Art. To prove that our conclusion is valid we would need to ensure that there is overlap between Legitimate Art that Arouses to Anger and works that are not Concerned with Beauty.
Let's start by noting what
would not work. The following statement is insufficient: Some work that Arouses to Anger is not Concerned with Beauty (AA
CB). This statement does not work because we cannot make connections through these "some" statements. AA
CB LA does
not imply *AA
LA*.
We need a stronger statement to guarantee overlap. What would work? If we knew
every Arousal of Anger work is not Concerned with Beauty, then we would have sufficient information to prove the conclusion.
- AA CB
Now we can make our connection:
"The Legitimate Art that Arouses to Anger is not Concerned with Beauty."
Now we have a valid conclusion.
I hope this helps!