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Thus, if a proposition is the set of worlds in which it is true (as in Stalnaker 1976), then P=Q iff P and Q have the same worlds as members iff P and Q are true in the same worlds.
Consequently, propositions that are true in the same possible worlds are identical, and we seem to predict wrongly that a person who believes a proposition p should also believe any proposition that is true in the same worlds as p (see the entry propositional attitude reports).
Similar(58)
It's as if they didn't belong to the same world as we do.
Hopkinson is also a fabric designer, and her patterns conjure the same world as her writing.
Count Zero (1986) was set in the same world as Neuromancer but seven years later.
"We are certainly not even in the same world as a 1C world.
Are those people living in the same world as we are?
"It's the same world as before, except now we understand it better".
But he added: "We live in the same world as other retailers".
Though she is now a Canadian citizen, Ms. Hayeri said she was raised "in the same world" as her subjects.
They seem very self-contained among themselves, not completely of the same world as the rest of us.
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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