A valid converse is guaranteed to be true whenever the original proposition is true, under the textbook’s assumptions.
Every rose is a flower → Some flowers are roses.
But “Every flower is a rose” does not follow. Distinguish establishing that a premise is factually true from establishing that a conclusion follows from it logically.
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Truth versus valid consequence
Simple Conversion of Propositions: Definition, Method and Rules
A valid converse is guaranteed to be true whenever the original proposition is true, under the textbook’s assumptions.
Every rose is a flower → Some flowers are roses.
But “Every flower is a rose” does not follow. Distinguish establishing that a premise is factually true from establishing that a conclusion follows from it logically.