Narrowing the object from class to family simultaneously generalized the study beyond one class.

Evidence

Assume that the cases follow the binomial theorem, e.g., one can toss four or six coins to decide if the country has a welfare state or not. According to the binomial formula the percentage of welfare states increases from 31 percent of the total with four dimensions to 34 percent with six. — Gary Goertz, Social Science Concepts, 498 (#expands, via linked claim)

The fly in the ointment is that this all depends on the necessary and sufficient condition structure. As we shall shortly see, if one uses the family resemblance structure one can get the opposite relationship: extension increases with intension. — Gary Goertz, Social Science Concepts, 491 (#expands, via linked claim)

Categorization

• XREF: connects to: Adding family resemblance dimensions can increase, not shrink, the extension of a concept. — Gary Goertz, Social Science Concepts: A User’s Guide, 498; Family resemblance concepts can gain extension by adding attributes rather than losing them. — Gary Goertz, Social Science Concepts: A User’s Guide, 491

Broader Connections

• Adding family resemblance dimensions can increase, not shrink, the extension of a concept. #expands (0.75) — Gary Goertz, Social Science Concepts, 498
• Family resemblance concepts can gain extension by adding attributes rather than losing them. #expands (0.75) — Gary Goertz, Social Science Concepts, 491