Non-wellfounded mereology

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In philosophy, specifically metaphysics, mereology is the study of parthood relationships. In mathematics and formal logic, wellfoundedness prohibits \cdots<x<\cdots<x<\cdots for any x.

Thus non-wellfounded mereology treats topologically circular, cyclical, repetitive, or other eventual self-containment.

More formally, non-wellfounded partial orders may exhibit \cdots<x<\cdots<x<\cdots for some x whereas well-founded orders prohibit that.

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