The intension-extension tradeoff only holds under necessary-and-sufficient definitions.

Evidence

If one increases the number of secondary-level attributes in the intension and if -this is the big if that Sartori does not mention-one uses the necessary and sufficient condition structure then there is an inverse relationship between intension and extension: The law of inverse variation must, therefore, be stated as follows: If a series of terms is arranged in order of increasing intension, the denotation of the terms [extension] will either remain the same or diminish. — Gary Goertz, Social Science Concepts, 487

Categorization

• XREF: Directly targets Sartori’s classic formulation, which students of conceptual analysis treat as settled.