Only necessary-condition concepts force added dimensions to shrink empirical coverage.

Evidence

This is a mathematical fact linked to the use of necessary conditions. Once one moves to other methods of aggregation it no longer applies. Adding new secondary-level dimensions may result empirically in more or fewer cases. — Gary Goertz, Social Science Concepts and Measurement, 1366

Categorization

• XREF: Connects to Sartori-style concept-stretching debates and the classical intension-extension ladder in political methodology.
• SEED: Essay angle: the ‘law’ that more dimensions means fewer cases holds only under AND aggregation — every textbook treats it as universal.