This is the 855th most frequent Chinese word.
承认
"承认" means "to admit" or "to acknowledge."
In this sentence, 承认 is used to express acknowledgment or admission of one's own error.
我承认自己犯了错误。
I admit that I made a mistake.
Here, 承认 conveys the act of accepting the truth or fact.
他终于承认了事实。
He finally admitted the truth.
In this context, 承认 is used in a general sense to discuss the virtue of recognizing one's flaws.