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Researchers already had reason to believe that the pigeonhole principle can’t be proved from the axioms of PV1 alone, so Li, Chen and Oliveira’s results imply that their other equivalent theorems are also likely unprovable in PV1.—Ben Brubaker, Quanta Magazine, 1 Dec. 2025 Given that many of Epstein’s correspondents are redacted and that threads start and stop randomly, many of the emails are perfect building blocks for constructing plausible but ultimately unprovable narratives.—Charlie Warzel, The Atlantic, 14 Nov. 2025 Instead, there will always be statements about natural numbers that are either true or false but that are unprovable within the system in question.—Ian Randall, MSNBC Newsweek, 3 Nov. 2025 Oswego County locals say the sheriff’s patrol is stopping Latino drivers for minor or unprovable violations, then handing them over to Border Patrol.—Mina Aguilar, New York Daily News, 29 July 2025 See All Example Sentences for unprovable
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