LessonsSimple Conversion: Definition, Categorical Rules and ReductioQuiz

Simple conversion, also called direct conversion, exchanges the two parts of a proposition while preserving truth and quality.

The four rules:
Universal affirmative → particular affirmative.
Universal negative → universal negative.
Particular affirmative → particular affirmative.
Particular negative → no guaranteed converse.

The universal negative is supported by reductio. Particular affirmation rests on shared membership. Universal affirmation requires reduced quantity, while particular negation lacks a generally valid converse.

The next topic is ʿaks al-naqīḍ (conversion by contraposition), another operation involving terms and negation.

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Summary and transition

Simple Conversion: Definition, Categorical Rules and Reductio

Simple conversion, also called direct conversion, exchanges the two parts of a proposition while preserving truth and quality.

The four rules:
Universal affirmative → particular affirmative.
Universal negative → universal negative.
Particular affirmative → particular affirmative.
Particular negative → no guaranteed converse.

The universal negative is supported by reductio. Particular affirmation rests on shared membership. Universal affirmation requires reduced quantity, while particular negation lacks a generally valid converse.

The next topic is ʿaks al-naqīḍ (conversion by contraposition), another operation involving terms and negation.