The phrase "admit further" is correct and usable in written English.
It can be used when acknowledging additional information or details in a discussion or argument.
Example: "I must admit further that my initial assessment was incomplete and did not consider all relevant factors."
Alternatives: "acknowledge additionally" or "concede further."
(I'll admit further — I gave a little lecture somewhere, when I was nineteen or twenty, about "Bringing Up Baby" without having the slightest notion that the artistry of Cary Grant and Katharine Hepburn had anything to do with its delights).
It was my experience and is probably more prevalent in contemporary American society than most would care to admit, further complicating the arrangements and choices that need to be made at the end of life in this era when life can be easily, but not always wisely, extended far beyond its meaningful limit.
On the first view the axioms do not admit further justification since they are self-evident.
On the second view the axioms do not admit further justification since they are definitive of the subject matter.
I admit further that my cluttered, keepsake ways became for a while part of the "more difficult present" that Susan Pearce cited.
2005: Husband's sentence is increased to 10 years after he admits further abuse.
Many of those patients have conditions that have gone untreated for months and need to be admitted, further straining hospital resources.
For this reason, we have reckoned it more useful to apply the DCC-MGARCH rather than the BEKK-MGARCH which admits further parameters than does the DCC version.
"I used to dress up my assistant as me, and get him to drive off with like five cars following him around for hours," he admits, further telling Esquire UK, "I think it goes through periods where you're assigned 'this is the guy to follow.' But whenever I see a bunch of paparazzi hanging out, I always think, 'Oh God, what have they found out!' Oh, THAT love child!
The domains scoring poorly (communication, feeding, telephone use and cognitive impairment) were explained by having poor spread of data, with the authors admitting further testing was required.
Categories themselves admit a further generalization to 2-categories as algebras over two-dimensional graphs, with associative composition of 1-cells generalized to the 2-associative pasting of 2-cells.
