listen to the pronunciation of intellection
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The mental content of an act of grasping by means of the intellect, as a thought, idea, or conception

When Banerjee talks about the artist's thinking about the music, she is not referring to an intellection about the mechanics of technique.

The mental activity or process of grasping with the intellect; apprehension by the mind; understanding

The purpose of philosophy is to unite oneself with the objects of the intellect, and even at last with the One that is above all intellection.

A particular act of grasping by means of the intellect

Our senses, our instincts, our intellections are all instruments of adaptation.

A mental act or process; The act of understanding; simple apprehension of ideas; intuition
A creation of the mind itself