Given the following syllogism:
No satyrs are goats.
All satyrs are animals.

Some animals are not goats.
This syllogism:
A) Is invalid from only the Boolean standpoint.
B) Is invalid from only the Aristotelian standpoint.
C) Is invalid from both standpoints.
D) Is valid from both standpoints.
E) Commits the existential fallacy from only the Boolean standpoint.

Question

Given the following syllogism: 
No satyrs are goats.
All satyrs are animals.

Some animals are not goats.
This syllogism:
A) Is invalid from only the Boolean standpoint. 
B) Is invalid from only the Aristotelian standpoint. 
C) Is invalid from both standpoints. 
D) Is valid from both standpoints. 
E) Commits the existential fallacy from only the Boolean standpoint.

Quizplus · Accepted Answer

The first premise is negative, the second premise is affirmative, and the conclusion is negative, violating the second rule of the Aristotelian syllogism. Additionally, from a Boolean standpoint, if no satyrs are goats and all satyrs are animals, then it is possible that some animals are not goats, but it is also possible that all animals are not goats, making the conclusion invalid.

Given the Following Syllogism