acknowledge the truth of it=acknowledge it as true=acknowledge it to be true=acknowledge that it is true 承认那是真实的
Do you acknowledge this signature? 你承认这是你的亲笔签字吗?
He acknowledged the child as his. 他承认这孩子是他生的.
acknowledge one's fault 承认自己的过失.

I beg to acknowledge (receipt of) your letter. 来函敬悉[顷奉来示,敬悉一切]。
Acknowledge the gift at once.对赠礼立即表示感谢.