acknowledgment
The act of openly recognizing or admitting something is true.
Acknowledgment is the act of recognizing something or someone openly. When you give an acknowledgment, you're saying “yes, I see this” or “yes, this happened” or “yes, you did that.”
Sometimes acknowledgment means admitting something is true, even if it's uncomfortable. A student might make an acknowledgment that they didn't study enough for a test. A scientist might acknowledge that her experiment didn't work as expected. This kind of acknowledgment takes courage because it means facing reality honestly.
Other times, acknowledgment means giving credit or showing appreciation. Authors often include an acknowledgments section in their books, thanking everyone who helped them. When a teacher acknowledges your hard work on a project, she's recognizing your effort out loud. A simple nod can be an acknowledgment that you heard what someone said.
The word can also mean confirming you received something. When you send a letter, you might wait for an acknowledgment that it arrived. In computer networks, devices send acknowledgments to confirm they received the data.
Notice that acknowledgment isn't the same as agreement. You can acknowledge someone's opinion without accepting it as correct. You're simply recognizing that they said it and that you heard them.