The phrase "arguments that support" is correct and usable in written English.
You can use it when discussing reasons or evidence that back up a particular claim or position.
Example: "The article presents several arguments that support the theory of climate change."
Alternatives: "reasons that back" or "evidence that reinforces".
The idea is, we begin by absorbing the values of our tribes what is and isn't important, what is and isn't a risk and use whatever numeracy and scientific literacy we possess to seek out facts and arguments that support those views.
There are arguments for Academic Skepticism which have some plausibility, and some plausible objections to those arguments that support the Epistemist's view.
Transgender people represent an imminent threat to many of the patriarchal power structures and arguments that support them.
"You find the arguments that support your data," he said, "and it's my fact versus your fact".
When the time comes I will help marshal all the moral and policy arguments that support significant differentiation.
The scholars have started to comb through Islamic texts to muster all the religious arguments that support greater rights for women, believing their strongest argument, perhaps, to be that women often petitioned the Prophet Muhammad directly during his lifetime.
Even when instructed to be even-handed, participants were more likely to read arguments that supported their existing attitudes than arguments that did not.
The conventional right-of-center argument that supports this form of capitalism is that social spending, taxes, fringe benefits and unions create market inefficiencies.
Then there was the inquiry's own report, which presented a well-written record of the evidence reviewed and a rigorous argument that supported the conclusion.
If the former is true, the latter rules out believing the premises of the argument that supports both claims.
This is an argument that supports your thesis, I'm afraid.
