The phrase "argument hinges on" is correct and usable in written English.
It can be used when discussing the central point or key factor that supports a particular argument or claim.
Example: "The success of the proposal hinges on the availability of funding."
Alternatives: "argument relies on" or "argument depends on".
Quantum Vows The firewall argument hinges on one of the weirder aspects of quantum physics, the action called entanglement.
Walton's anti-formalist argument hinges on two main theses, one psychological and one philosophical.
This argument hinges on the idea that adaptation to one environment reduces fitness in others, resulting in genetic trade-offs between environments (genotype × environment interactions, G × E) and concomitant patterns of local adaptation (Kawecki and Ebert 2004).
This argument hinges on three questions: How vulnerable is the economy?
The whole GW argument hinges on which temperature source you quote.
"This raises the question whether there's any value in NextWave because their entire argument hinges on spectrum values".
But much of the argument hinged on scientific questions.
The arcane legal argument hinged on questions related to the relationship between corporate names and trade names.
His argument hinged on the difference between collecting communications data and actually examining it, and he used his experience as a reporter to explain the distinction.
The town's argument hinged on the state's definition of a charity, which must serve the "indefinite public" as opposed to a limited pool of people, like members of a church.
It led to a 21-day Senate trial, during which Clinton's carefully worded argument hinged on the meaning of the word 'is' when determining the truthfulness of the statement: "There is not a sexual relationship, an improper sexual relationship or any other kind of improper relationship".
