Two inclusions into the same superclass: given ‘‘All water is divine’’ and ‘‘All temples are divine’’ decide whether all water is temple or all temples are water necessarily follows.

Question

Solve this multiple-choice question and choose the correct option.

Curioustab · Accepted Answer

Both subjects are included in the set Divine but no cross relation is given. Premise 1: Water ⊆ Divine. Premise 2: Temples ⊆ Divine. Conclusions: I. All water is temple. II. All temples are water. Concept/ApproachTwo different subclasses of a common superset may be disjoint, equal, or partially overlapping. Without extra information neither direction of inclusion between them is forced.Testing the conclusionsI would require Water ⊆ Temples, not given. II would require Temples ⊆ Water, also not given. Hence neither conclusion follows.Verification/AlternativeModel: Divine = {a, b}, Water = {a}, Temples = {b}. Both premises hold while both conclusions fail.Common pitfallsAssuming that sharing a superclass implies one subclass contains the other.Final AnswerNeither I nor II follows.