«والسالبة الجزئية لا تنعكس لزوماً»
A particular negative does not have a necessarily valid converse.
Textbook example:
«بعض الحيوان ليس بإنسان»
Some animals are not humans.
Simply reversing the terms gives “Some humans are not animals,” which is false because every human is an animal. The original was true, but the reversed statement failed.
One valid counterexample is sufficient to defeat the claim that every particular negative converts.
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Simple Conversion: Definition, Categorical Rules and Reductio
«والسالبة الجزئية لا تنعكس لزوماً»
A particular negative does not have a necessarily valid converse.
Textbook example:
«بعض الحيوان ليس بإنسان»
Some animals are not humans.
Simply reversing the terms gives “Some humans are not animals,” which is false because every human is an animal. The original was true, but the reversed statement failed.
One valid counterexample is sufficient to defeat the claim that every particular negative converts.