Exact(16)
(That is what the Israelis say about the Palestinians, too, each believing the other is killing with particular viciousness).
His relationship with Peel was "a bit like a master and his dog - each believing the other to be the dog".
Plato's "cave" metaphor compares our knowledge of the truth to that of slaves watching shadows thrown on a stone wall, each believing their perceptions to be real.
Their relationship, to borrow a familiar image, was analogous to that of an organ-grinder and his monkey, with each believing the other to be the monkey.
The well-known engraving Two Men Meet, Each Believing the Other to be of Higher Rank depicts two emperors, Franz Joseph of Austria-Hungary Austria-Hungary and Wilhelmnaked, bowIIg lof.
Most do not express themselves in an ideological fashion: each believing in the importance of the tradition and institutions of their country, they are naturally different from each other.
Similar(44)
But we each believe we worked for the best.
But each believes that their chances remain intact.
Each believes she is his one and only.
But because they worked together, each believed privately that a relationship would be inappropriate.
Each believes that God has made himself known to his prophets through acts of revelation.
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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