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The phrase "a radical proposition" is correct and usable in written English.
It can be used when discussing an idea or suggestion that is significantly different from the norm or traditional views.
Example: "The committee presented a radical proposition to overhaul the entire education system, aiming for a more inclusive approach."
Alternatives: "a revolutionary idea" or "an extreme suggestion".
Exact(17)
It is a radical proposition, sure.
That is hardly a radical proposition.
Doran's Shrew is based on a radical proposition: that Petruchio is far madder than Kate.
Magee sticks up for the music -- not such a radical proposition.
But here's a radical proposition: summer has actually been over now for a fortnight – or even longer.
Undermining such trading, says Deutsche, is a "radical" proposition that is not only wrong but counter-productive.
Similar(41)
This is a fairly radical proposition in the universe of subsidized housing.
Still, her victory upended the traditional notion that men like elusive women, suggesting a more radical proposition: that men like women who like them.
But last month he challenged both Washington and conventional wisdom with a fairly radical proposition: Perhaps MySpace and the Internet aren't so scary for kids, after all.
And also that it remains a very radical proposition.
Instead, Christianity offers a far more radical proposition: we are not defined by the things we want or own.
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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