It says that you should not postulate unnecessary entities.
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Could you please specify which postulate you are referring to?
When a postulate has been proven it becomes a theorem.
There is nothing true about the AAA theorem and the SSS postulate because the AAA postulate is not true!
Its the Side, Angle, Side of a congruent postulate.
A statement which appears to be true but has not been proven to be so, is a postulate.