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The Collaborative International Dictionary
Dianoialogy

Dianoialogy \Di`a*noi*al"o*gy\, n. [Gr. ? thought + -logy.] The science of the dianoetic faculties, and their operations.
--Sir W. Hamilton.

Wiktionary
dianoialogy

n. (context archaic English) The science of the dianoetic, or intellectual, faculty.