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Zorluk: KolaySyllogism and Categorical Propositions

Given two premises:
• All autonomous drones are unmanned aerial vehicles.
• All unmanned aerial vehicles are aviation assets.

Which of the following conclusions logically follows from these premises?

  1. All autonomous drones are aviation assets.Cevap
  2. B
    Some autonomous drones are aviation assets.
  3. C
    No autonomous drones are aviation assets.
  4. D
    Some aviation assets are not unmanned aerial vehicles.

Cevap

All autonomous drones are aviation assets.
The conclusion stating 'All autonomous drones are aviation assets' is correct because if every autonomous drone belongs to the class of unmanned aerial vehicles, and all unmanned aerial vehicles belong to the class of aviation assets, then by transitive containment, all autonomous drones must belong to the class of aviation assets.

Adım Adım Çözüm

1
Identify the logical form of Premise 1 and Premise 2.
Premise 1 is 'All A are B' (Universal Affirmative). Premise 2 is 'All B are C' (Universal Affirmative).
Categorical propositions must be classified into standard A, E, I, or O types.
2
Apply the transitive rule of categorical inclusion (Chain Rule).
Since every element of set A is contained in set B, and every element of set B is contained in set C, set A is entirely contained in set C ('All A are C').
Linking universal affirmative statements sharing a middle term yields a universal affirmative conclusion.

Anahtar Kavram

Universal Categorical Syllogism (AAA-1 Figure)
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Konular

Syllogism and Categorical Propositions

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