Claiming decomposability while rejecting separability requires showing how to partition inequality measurements that genuinely embed non-additive relational terms—both theories lack this rigor.

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Decomposability(the main concept being analyzed): The quality of being able to break something down into smaller, separate parts that can be understood independently.
Inequality measurements(as used in economics and social philosophy): Methods for measuring and comparing differences or gaps between things—like measuring how unequal wealth is distributed in a society.
Non-additive(describing how race, class, and gender interact): When things don't simply add up together; instead, they combine in unexpected ways where the result is different from what you'd get by just stacking them on top of each other.
Relational terms(in philosophy of language and metaphysics): Words or phrases that describe how two or more things connect or relate to each other, like 'is bigger than,' 'loves,' or 'is next to.'

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