Both Uses

intuition
in
The History of Love
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Unlike her husband, Rosa Litvinoff wasn't a writer, and yet the introduction is guided along by a natural intelligence, and shadowed throughout, almost intuitively, with pauses, suggestions, ellipses, whose total effect is of a kind of half-light in which the reader can project his or her own imagination.†

intuitively = known instinctively rather than through reasoning
He learned to decipher the meaning of certain silences, which is like solving a tough case without any clues, with only intuition.
*

intuition = the ability to known instinctively rather than through reasoning

Definitions:

(1) (intuition)
something known based on feeling or instinct rather than conscious reasoning; or the ability to know things in such a manner
(2) (meaning too rare to warrant focus)