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mutualism (n.)

1845, in reference to the doctrine of French anarchist/socialist Pierre-Joseph Proudhon (1809-1865) that individual and collective well-being is attainable only by mutual dependence, from French mutuellisme. In biology, "a symbiosis in which two organisms living together mutually and permanently help and support one another," from 1876, from mutual + -ism.

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Definitions of mutualism from WordNet

mutualism (n.)
the relation between two different species of organisms that are interdependent; each gains benefits from the other;
Synonyms: symbiosis
From wordnet.princeton.edu