I came across this sentence when reading a book:
They acknowledge as much directly to the students reading one of their textbooks when they write, "...".
Is this correct?
Does this mean that "They admit to the students that..."?
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Admit would suggest that whatever they were admitting constituted some sort of fault. That is not inherent to the verb to admit, but is quite heavily implied in a case such as this.
Here acknowledge is ditransitive, where 'they' is the subject, 'as much' is what is being acknowledged, and 'the students' are who it is being acknowledged to. 'Directly' is an adverb. They are telling the students that whatever the 'as much' refers to is correct.