Etymology
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incompatibility (n.)

1610s, from incompatible + -ity, or from French incompatibilité (15c.).

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Definitions of incompatibility

incompatibility (n.)
the relation between propositions that cannot both be true at the same time;
Synonyms: mutual exclusiveness / inconsistency / repugnance
incompatibility (n.)
(immunology) the degree to which the body's immune system will try to reject foreign material (as transfused blood or transplanted tissue);
incompatibility (n.)
the quality of being unable to exist or work in congenial combination;
From wordnet.princeton.edu