Dianoia

In Platonism, (Greek: διάνοια) is the human cognitive faculty associated with the BC portion of the analogy of the divided line and related to discursive thinking about mathematical and technical subjects. It stands in contrast to the immediate, cognitive process of intuitive apprehension or noesis.

In Aristotle, dianoia is subdivided into theoretical knowledge (technē) and practical knowledge (phronēsis).

Tabular summary of the divided line

Segment	Correlation	Affection of the psyche	Type of object	Method of the psyche or eye	Relative truth and reality
DE	Noesis (νόησις)	Knowledge (Understanding): understanding of only the Intelligible (νοητόν)	Only Ideas, which are all given existence and truth by the Good itself (τὸ αὐτὸ ἀγαθόν)	The Psyche examines all hypotheses by the Dialectic making no use of likenesses, always moving towards a First Principle	Highest
CD	Dianoia (διάνοια)	Knowledge (Thought): thought that recognizes but is not only of the Intelligible	Some Ideas, specifically those of Geometry and Number	The Psyche assumes hypotheses while making use of likenesses, always moving towards final conclusions	High
BC	Pistis (πίστις)	Opinion (Belief): belief concerning visible things	Visible things (ὁρατά)	The eye makes probable predictions upon observing visible things	Low
AB	Eikasia (εἰκασία)	Opinion (Imagination): conjectures concerning likenesses	Likenesses of visible things (εἰκόνες)	The eye makes guesses upon observing likenesses of visible things	Lowest