The phrase "it would be arbitrary to" is correct and usable in written English.
This phrase is often used to indicate that something is being done in a random or biased way. For example, "It would be arbitrary to give everyone the same grade on this project without taking into account their individual efforts."
Accordingly, it would be arbitrary to suppose that Woodrow but not Woodrow-minus is a desk.
It would be arbitrary to regard the new set of consumer orientation in China as imported or diffused from the West.
First, because Invert's color vision is as useful as Nonvert's for discriminating and identifying objects, surely it would be arbitrary to suppose that Invert's color vision, but not Nonvert's, is the source of pervasive illusions.
Against the first, one might dispute the claim that it would be arbitrary to convict only Invert of error after all, for all that's been said, Nonvert and Invert might differ functionally, which is presumably a relevant difference.
It would be arbitrary to classify antecedent interventions based upon whether they increase or decrease behavior.
It would be arbitrary to insist on a separate spheres approach that picks out some subset of the benefits of these activities as their proper benefits when comparing them with other activities and programs to which scarce resources might be devoted.
By noting the differences between animal perception and human perception, Berkeley suggests that it would be arbitrary anthropocentrism to claim that humans have special access to the true qualities of objects.
It would be arbitrary simply to assume the consistency of the theories in question, given that if such theories turn out to be in fact inconsistent, given classical logic, everything could be proved in them.
The rule is clear that the ball cannot bounce during the service motion, but it would be arbitrary, and difficult to enforce, to suggest that the point of contact must be above the shoulder.
"It would be arbitrary and contrary to the purpose of entitlement to paid annual leave to grant workers the right to paid leave only if they are already unfit for work when the period of paid annual leave commences," the court ruled.
Given that prior work has shown that this course, which includes concept maps among other elements that collectively function as an intervention, is associated with positive learning outcomes (Reynolds and Thompson, 2011), it would be arbitrary (and possibly counterproductive) to test individual components of the course without a hypothesis or explicit reason for testing an alternative method.
