Non-wellfounded mereology

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.

See also

External links

http://plato.stanford.edu/entries/nonwellfounded-set-theory/

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