His theories have won/gained/found general/widespread 'acceptance'. [=many people regard his theories as correct]
He delivered an 'acceptance speech' after he was chosen as the party's presidential nominee.
The university has sent me a letter of 'acceptance'.
(..) about the impact of this imminent neurological breakthrough. When the orgasm has been finally eradicated, the last remaining obstacle to the psychological acceptance of the principles of Ingsoc as applied to Artsem will be overcome. In other words, the unorthodox tendencies towards ownlife, (..)1984 1984