More Questions from Syllogism

Syllogism — Animals, birds, and human beings: Statements: • All animals are birds. • Some animals are human beings. Conclusions: I. Some human beings are birds. II. Some birds are human beings.

Verbal Reasoning Syllogism Difficulty: Easy
Choose an option
  • A
    I follows
  • B
    II follows
  • C
    Both I and II follow
  • D
    Neither I nor II follows
  • E
    None of these

Answer

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:

  • Animal ⊆ Bird.
  • Some Animals are Human (∃ Animal ∩ Human).

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.

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