Exact(60)
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.
Juanes is the same proposition a generation later, more from a rock world, but with deep lyrics and great craftsmanship.
The same proposition, offered by an ordinary economist, would end up buried in an economics journal, peppered with challenges from peers.
It follows that one cannot have knowledge and faith at the same time in relation to the same proposition; faith can only arise in the absence of knowledge.
Hodgson has had success in the Scandinavian leagues but managing average players is not the same proposition as getting 11 Premier League superstars with egos the size of planets to play the unglamorous roles when required for country.
"The same attitude" can mean the same relation to possibly different propositions She has the same belief in his goodness as she does in his sincerity or the same proposition in possibly different relations She believed what he doubted.
express the same proposition on this view.
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.
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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