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unprovable

British pronunciation/ʌnpɹˈuːvəbə‍l/
American pronunciation/ʌnpɹˈuːvəbəl/
unprovable
[ADJECTIVE]
1

(of a thing) very hard or impossible to demonstrate its truth or validity

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Examples
1Unprovable dogma made up stories.
2It's an unprovable.
3[snickers] It's unprovable.
4And today, some mathematicians dedicate their careers to identifying provably unprovable statements.
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