Polyamorous and non-monogamous relationships are widespread
Any definition that excludes the possibility of polygamy within a family unit falls short.
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Context
Any sociological definition of a family must be able to accommodate the ubiquity of non-monogamous relationships across cultures.
The Argument
In his work, George Peter Murdock found that 195 societies in his sample were non-monogamous, while only 43 were comprised of monogamous couples. Therefore, his sociological construct of the family needed to reflect the prominence of polyamory.
In defining the family unit as a shared residence, economic cooperation, and reproduction, he was able to accommodate non-monogamous relationships where multiple sexual partners lived under the same roof and took part in domestic responsibilities.
Counter arguments
Premises
[P1] Many families across the world are not monogamous.
[P2] Therefore, any definition must allow for monogamous relationships.
[P3] Even polygamous relationship share a home, have a degree of economic cooperation, and reproduce.
[P4] Therefore, Murdock's classic definition of a family is the most accurate.