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Exact(10)
By contrast, the sentence with hai will produce the same proposition as well as another entailment that "Laowang is asleep at times that are earlier than 8 o'clock".
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.
In such a case (φ →1 ¬2 ψ) would represent the same proposition as (φ →2 ¬1 ψ).
SYN was a word collocating with a word that was in the same proposition as the choice words.
Joachim had a daughter' expresses the same proposition as 'the father of Mary had a daughter': "The word 'proposition' is treacherous," he cautions (p. 48).
However, note that B1N*(A) is not necessarily the same proposition as K*N(A), that is, even if A is common 1-belief, A can fail to be common knowledge.
Similar(50)
By the same proposition, can be written as, where.
In [6, Proposition 3.2], the proposition has been given for, the same proposition is defined for as follows, and its proof is similar.
One and the same proposition or idea can, as Bolzano says, appear in the minds of different thinking beings or also at different times in the mind of one and the same thinking being, without thereby being multiplied (WL I, 217, WL III, 13, 112).
Those very same powerful clerics and statesmen, who lauded Ahmadinejad's superstitious political culture as the international revival of Shi'i Islam, now brand his very same propositions as satanic and unIslamic.
It doesn't mean the M4/3 style is bad, just that it's new and doesn't offer the same value proposition as the established technologies.
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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