'arguments of this' is correct and usable in written English.
You can use this phrase when you want to refer to the arguments that support or justify a certain opinion or position. For example: "The arguments of this position demonstrate a convincing case for the necessity of this policy."
Arguments of this kind can quickly degenerate into a chicken-or-egg type of controversy.
Arguments of this sort often have a troubling vagueness to them.
Not the arguments of this book, however; they hit the mark every time.
The field of formal statistics explores myriad refinements of arguments of this sort.
The arguments of this book seem to be directed at more rarefied targets - writing, writers, the publishing industry.
Indispensability arguments of this kind were advanced by the American philosopher Hilary Putnam and (relinquishing his earlier nominalism) by Quine.
I conclude that the independence and self-sufficiency of Computational Linguistics are better supported by the arguments of this paper.
What does anything Henry Ford does matter to me?" The argument was taking the course that arguments of this sort are bound to take.
Since the modification had been made so close to that trial, consideration of the voter ID provision was held until last Monday, when opening arguments of this trial took place.
(Arguments of this sort are sometimes called "Leibniz-law arguments," after a metaphysical principle formulated by the German philosopher Gottfried Wilhelm Leibniz [1646 1716]: if x = y, then whatever is true of x must also be true of y).
Commercial speech, which refers to "speech done on behalf of a company or individual for the intent of making a profit" (Wikipedia), is central to the arguments of this case.
