Both Uses of

acknowledge

in

Jacob Have I Loved

But instead of simply acknowledging the fact, I would fly into a wounded rage.†
Chpt 6 *

acknowledging = recognizing

Even having to acknowledge that debt could not diminish my delight in our hour of music.†
Chpt 12

acknowledge = recognize

Definitions:

(1) (acknowledge as in: acknowledge her or the truth)
express recognition or appreciation of someone or something; or admit something
(2) (meaning too rare to warrant focus)
Specialized senses include sending an "acknowledgement" (letter or other message) to indicate that something was received and the "acknowledgements" section at the beginning of a book where an author recognizes and thanks other people who helped in creating the book or ideas contained in it.