Syllogistic Form 3F
Given the following syllogistic form:
Some M are not P.

-For Syllogistic Form 3F, after filling in the Venn diagram,
A) There is an X on the line between areas 1 and 4 and between areas 2 and 3.
B) There is an X in area 1 and an X in area 2.
C) There is an X on the line between areas 1 and 2 and between areas 2 and 3.
D) Areas 1, 2, and 3 are shaded.
E) There is an X on the line between areas 1 and 2 and between areas 3 and 4.

Question

Syllogistic Form 3F
Given the following syllogistic form:
Some M are not P.

-For Syllogistic Form 3F, after filling in the Venn diagram, 
A) There is an X on the line between areas 1 and 4 and between areas 2 and 3. 
B) There is an X in area 1 and an X in area 2. 
C) There is an X on the line between areas 1 and 2 and between areas 2 and 3. 
D) Areas 1, 2, and 3 are shaded. 
E) There is an X on the line between areas 1 and 2 and between areas 3 and 4.

Quizplus · Accepted Answer

The statement "Some M are not P" means that there is at least one M that is not a P. This can be represented in the Venn diagram by shading some portion of the M circle and leaving some portion unshaded. We do not know anything about the S circle, so we leave it unshaded.

Option A is incorrect because there is no reason to think that the unshaded portion of the M circle would extend into areas 3 and 4.

Option B is incorrect because it assumes that all M are in area 1, but the statement only tells us that some M are not P.

Option D is incorrect because we do not know anything about the S circle.

Option E is incorrect because it assumes that the unshaded portion of the M circle would extend into areas 3 and 4.

Option C is correct because it shows an unshaded portion of the M circle between areas 1 and 2 (indicating that there is at least one M that is not a P) and an unshaded portion of the M circle between areas 2 and 3 (which is necessary to maintain logical consistency).

Syllogistic Form 3F Given the Following Syllogistic Form