The phrase "an alternative argument" is correct and usable in written English.
It can be used when presenting a different perspective or reasoning in a discussion or debate.
Example: "In addition to the main point, I would like to present an alternative argument that challenges the prevailing view."
Alternatives: "a different perspective" or "another viewpoint".
Maybe, but there is an alternative argument that Gus had a point.
As an alternative argument, International contends that § 271 is inapplicable for another reason.
I have an alternative argument to make so we can change the country for the better.
Why don't you present an alternative argument from Christian Scientists in your reporting on cancer therapies, for example?
There is an alternative argument that too much emphasis has been placed on journey times and that greater focus should be placed on the quality of the journey.
Mena has advanced in this Court, as she did before the Court of Appeals, an alternative argument for affirming the judgment below.
Change They Can't Believe In offers an alternative argument--that the Tea Party is driven by the reemergence of a reactionary movement in American politics that is fueled by a fear that America has changed for the worse.
But as he embarks on his second screeching U-turn in a few months, if he is to survive, he is going to have to find an alternative line of argument.
L. A. Shapiro and E. Sober (2007) have developed an alternative line of argument that they hold to apply just as well to functional properties and properties that resist functional analysis.
Start an alternative funny argument: Get in a stupid argument (knowing you're wrong) with someone very argumentative.
Because bovine has 29 autosomal chromosomes, we used an alternative program argument; the "-lastchr 29" in the "-detect" argument to be specific CNV regions (CNVRs) were aggregated from identified CNVs by considering each other's overlapping regions.
