The phrase "argument asserts" is correct and usable in written English.
It can be used when discussing the claims or positions made within a particular argument or debate.
Example: "In her essay, the author argues that climate change is primarily caused by human activity, and her argument asserts that immediate action is necessary to mitigate its effects."
Alternatives: "claim posits" or "assertion maintains".
One Bush administration argument asserts that only military officials — not federal judges — have the power to decide how to conclude wartime detentions.
This argument asserts that the administration may have powers even broader than those acknowledged by the courts in wartime cases throughout American history.
Then a topological argument asserts that cat ( N ˜ ε ) ≥ 2 cat.
The essentialist is pointing out that the anti-essentialist's argument asserts that the latter intuition undermines the former, but does not say why.
The 'external' position, or 'constructivist' argument, asserts that immunology's models of identity are derived not just with the assembly of epistemic facts, but include the entire cognitive and organizing principles of a widely held conception of personhood as the scaffold for their interpretation.
That argument asserts that the case should be tossed on First Amendment grounds.
But today, Mr. Nader shrugged off that argument, asserting that some Democratic nominees to the court have compiled conservative voting records.
Napster sought to make a similar argument, asserting that it was not responsible for the content that members exchanged and stored on their own hard drives.
Earlier yesterday, a defense lawyer, Reid Weingarten, completed a day-and-a-half closing argument, asserting that Mr. Belnick could not have stolen $17 million from Tyco.
Economic sociology has also made crucial contributions to the study of global economic integration and particularly to the debate over an argument asserting that global economic integration will force institutional convergence in many areas of life.
The greens dispute this argument, asserting that "as cattle eat grass most of the year, this small premium would represent a tiny price differential for the customer (eg 2c on a Sunday roast)".
