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Difficulty: EasySyllogism and Categorical Propositions

In standard categorical logic, a Universal Affirmative proposition (A-type: 'All S are P') can be validly converted via simple conversion into another Universal Affirmative proposition ('All P are S').

Answer: Answer

Answer

The statement is False. Universal Affirmative (A-type) propositions cannot undergo simple conversion.
The statement is false because interchanging the subject and predicate of a universal affirmative proposition without changing its quantity creates an invalid deduction.

Step-by-Step Solution

1
Identify the logical operation and proposition type
The operation described is 'simple conversion' applied to an A-type categorical proposition ('All S are P').
Simple conversion interchanges the subject and predicate terms while keeping the quality and quantity unchanged.
2
Apply term distribution rules
In 'All S are P', the subject S is distributed, but the predicate P is undistributed. Converting to 'All P are S' distributes P, committing an illegal distribution fallacy.
A term cannot be distributed in the conclusion if it is not distributed in the premise.

Key Concept

Rules of Conversion for Categorical Propositions
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Topics

Syllogism and Categorical Propositions

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