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Direct reference theorists (e.g., Soames 2002, pp. 240, 243), also called "Millians" after J. S. Mill, insist that 'Hesperus = Phosphorus' and 'Hesperus = Hesperus' express the same proposition or share the same content.
As I have observed (§2.1), direct reference theorists insist that 'Hesperus = Phosphorus' and 'Hesperus = Hesperus' express the same proposition or share the same content even though these statements have the appearance of saying different things.
In the US there is a 50% to 18% majority behind the same proposition.
They pretty much all offer the same proposition: the best price for your used electronics.
express the same proposition on this view.
But if propositions were generally spatially unqualified, they would believe the same proposition.
So they must not believe the same proposition.
Hence these two sentences express the same proposition.
But then (5) and (6) express the same proposition.
Sentences in different languages can express the same proposition.
On at least some ways of understanding propositions, this need not entail attaching two different judgments to the same proposition.
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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