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In any case there is nothing in the notion of a self-evident proposition that rules out justification or argument for that proposition.
The notion of a self-evident proposition is a term of art in intuitionist thought, and needs to be distinguished from certain common sense understandings with which it may easily be conflated.
This is not a self-evident statement.
This is not a self-evident proposition.
It's a self-evident contradiction.
I know it's kind of a self-evident truth.
"It is a self-evident choice," he added.
One should distinguish knowing a self-evident proposition from knowing that that proposition is self-evident.
One might even know a self-evident proposition whilst endorsing a theory according to which no propositions are self-evident.
Her departure is now considered a self-evident truth.
It sounds like a fairly self-evident statement, but as the Wikipedia page points out the notion has its detractors.
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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