A particular negative and its term-reversal may both happen to be true. For example, a population might contain both non-poet students and poets who are not students.
“Some students are not poets.”
“Some poets are not students.”
Yet the first statement alone does not entail the second. Thus “the particular negative does not convert” means there is no universally reliable conversion rule, not that a reversed claim can never be true.
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Simple Conversion: Definition, Categorical Rules and Reductio
A particular negative and its term-reversal may both happen to be true. For example, a population might contain both non-poet students and poets who are not students.
“Some students are not poets.”
“Some poets are not students.”
Yet the first statement alone does not entail the second. Thus “the particular negative does not convert” means there is no universally reliable conversion rule, not that a reversed claim can never be true.