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The phrase "agree on the proposition" is correct and usable in written English
It can be used when discussing a consensus or mutual understanding regarding a specific idea or statement. Example: "After much debate, we were finally able to agree on the proposition that climate change requires immediate action."
Exact(2)
Conservatives like Mr. Nickles and liberal Democrats like Senator Edward M. Kennedy of Massachusetts found they could agree on the proposition that medical decisions should be made by doctors.
Intentionalists agree on the proposition that self-deception is intentional, but divide over whether it requires the holding of contradictory beliefs, and thus over the specific content of the alleged intention involved in self-deception.
Similar(57)
Lawmakers in both parties agree on this proposition and have coalesced around appropriate reform measures.
It allows that philosophers if ideally rational will be able to agree on the ontological commitments of propositions.
For if \(P\) and \(Q\) are probability functions on an infinite domain that agree on the ordering of all propositions in their domain, then \(P\) and \(Q\) are the same probability function (Villegas 1964).
"It was in the interests of the CEO, the chair and the board to err on the upside on those [price] assumptions because they wanted the farmers to agree to the proposition of raising money on the market and they sort of encouraged them to agree by convincing them that they were going to get this high price," Fitzgibbon said.
Both sides agreed on that proposition, but not on much else.
That the two agreed to the proposition?
Let us also agree on two other propositions: that the rising costs of college threaten to place higher education beyond the reach of too many of our citizens; and that the full value of higher education can be realized only if students graduate into an economy that is ready to offer opportunity to the young.
"The one thing that is very clear is that you cannot expect to get legislation through the Senate on a take-it-or-leave-it basis unless people agree with the proposition".
Lobbyist: O.K.... but do you agree with the 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