Difficulty: Easy
Correct Answer: Both I and II follow
Explanation:
Introduction / Context:
We propagate a particular subset of Animals (those who are humans) through the universal inclusion Animals ⊆ Birds.
Given Data / Assumptions:
Concept / Approach:
If all Animals are Birds, then the specific Animals that are Humans are necessarily Birds as well. Hence there exists at least one creature that is both Human and Bird. Both statements (I) and (II) express the same fact from different directions.
Step-by-Step:
1) From Animal ⊆ Bird, map members of Animal ∩ Human into Bird.2) Therefore, ∃ Human ∩ Bird (I).3) Symmetrically, ∃ Bird ∩ Human (II) holds by the same individuals.
Verification:
A Venn diagram confirms both conclusions are equivalent existential claims.
Final Answer:
Both I and II follow.
Discussion & Comments