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The Collaborative International Dictionary
Noetical

Noetic \No*et"ic\, Noetical \No*et"ic*al\, a. [Gr. ?, fr. ? to perceive, ? mind, intellect.] Of or pertaining to the intellect; intellectual.

I would employ the word noetic to express all those cognitions which originate in the mind itself.
--Sir W. Hamilton.

Wiktionary
noetical

a. (alternative form of noetic English)