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rationality (n.)

1620s, "quality of having reason;" 1650s, "fact of being agreeable to reason," from French rationalité, from Late Latin rationalitas "reasonableness, rationality" (also source of Spanish racionalidad, Italian razionalita), from Latin rationalis (see rational).

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Definitions of rationality from WordNet

rationality (n.)
the state of having good sense and sound judgment;
his rationality may have been impaired
Synonyms: reason / reasonableness
rationality (n.)
the quality of being consistent with or based on logic;
Synonyms: rationalness
From wordnet.princeton.edu