The phrase "the current discourse" is correct and usable in written English.
It refers to the ongoing discussion or conversation about a particular topic or issue. Example: The current discourse surrounding climate change is focused on finding solutions to curb greenhouse gas emissions.
Exact(54)
Williams's imagery can liberate even Osama bin Laden from the banality of the current discourse.
In the current discourse on the economy, the government's deficit and debt still dominates all other considerations.
Much of the current discourse around Rabin's death is about the danger of extremism in Israeli society.
So players like Palmer who can influence the political culture, can poke some holes in the entrenched actors and received wisdom of the current discourse, are important.
You wouldn't know any of this from the current discourse around austerity, poverty and Brexit Britain: women of colour are consistently written out of the picture.
Thus, I propose to the UN climate summit in New York action that will seek to change the current discourse in "sustainable development".
Similar(6)
The article follows the attempt and logic of reconstructing (by this designing) key elements of the current discourses on innovation and knowledge.
In the current discourses on sustainable development, one can discern two main intellectual cultures: an analytic one focusing on measuring problems and prioritizing measures, (Life Cycle Analysis (LCA), Mass Flow Analysis (MFA), etc).
The article follows the attempt and logic of reconstructing (by this designing) key elements of the current discourses on innovation, but also to provide assessment for (happy) application opportunities.
Besides several themes related to burning issues on the surface of the current discourses in South Korea, this special issue of the AJGES pays attention to the fundamental problems, which are essential to understand the unique character of South Korean society as a divided nation.
It further requires research ethicists to allow decision studies discourses into the current discussion on the risk-benefit tasks of RECs.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com