The phrase "any argument that" is correct and usable in written English.
It can be used when introducing a statement or claim that is being made about a particular argument or point of view.
Example: "Any argument that suggests otherwise must be thoroughly examined for validity."
Alternatives: "any claim that" or "any assertion that".
The three criteria of a cogent argument, individually necessary and jointly sufficient, lead to a conception of fallacy as "any argument that violates one of the criteria of good argument … and is committed frequently in argumentative discourse" (1993, 317 18).
"I think I've attacked straight on any argument that has been advanced on the subject.
Personally, I'm not unskeptical of any argument that uses the "not-un" construction.
But a year after the campaign started, is there any argument that could convince him?
William Hague says Miliband's comments were "ill-judged" and that "[m]inisters must be very careful before advancing any argument that seems to legitimise terrorism".
Women have good reason to be suspicious of any argument that comes within a million miles of "reducing me to a womb".
David Norman, the World Wildlife Fund's campaigns director, said: "Any argument that climate change should be moved down the political agenda until the current economic crisis is addressed is incredibly shortsighted.
In that context, any argument that starts from the premise that things should stay the same is never going to stack up, no matter how much we might wish it could.
It'd be hard to find any argument that can justify the conditions in which animals are routinely raised for slaughter today in the concentrated, industrial-style form of husbandry that is required to provide cheap meat to growing and increasingly prosperous populations.
Any argument that includes its conclusion as a premise will be valid.
For many, the ideal is more compelling than any argument that might be offered to support it.
