Correct option is D
In the context of an EAO syllogism in the third figure, the Existential fallacy is committed when a categorical syllogism makes an invalid inference about the existence of an entity based on the premises. The fallacy occurs when the premises contain universal statements (e.g., "All" statements) but the conclusion asserts a particular (e.g., "Some") claim, which may imply the existence of something that was not supported by the premises. This is typical in EAO syllogisms when the conclusion erroneously suggests the existence of a subject or predicate that was not explicitly mentioned in the premises.
Information Booster:
Existential fallacy occurs when a conclusion implies the existence of something that was not confirmed by the premises.
In the third figure syllogism, the middle term is distributed in the major premise, leading to a potentially invalid conclusion about existence.
EAO syllogism involves a universal major premise, a particular minor premise, and a particular conclusion, which can lead to the fallacy of assuming existence where it is not justified.
The Existential fallacy is specifically concerned with the problematic assumption of existence in particular conclusions, even when not explicitly stated in the premises.