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probabilism (n.)

1719, in Catholic theology, the doctrine that when there are two probable opinions, each apparently resting on reason, it is lawful to follow the probable opinion which favors one's inclination; from French, from Latin probabilis (see probable) + -ism.

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Definitions of probabilism from WordNet

probabilism (n.)
a Roman Catholic system of casuistry that when expert opinions differ an actor can follow any solidly probable opinion that he wishes even though some different opinion might be more probable;
probabilism (n.)
(philosophy) the doctrine that (since certainty is unattainable) probability is a sufficient basis for belief and action;
From wordnet.princeton.edu