undecidable
adjective
un·de·cid·able
ˌən-di-ˈsī-də-bəl
: not capable of being decided : not decidable
… a huge popular audience, most of whom must have been baffled and exasperated by its elaborate and undecidable mystifications.—David Lodge
… deconstruction, which teaches that literature is essentially "undecidable," beyond interpretation …—James Atlas
To be complete such a system must be able to prove that any formula expressible in its language (a mathematical equation, for example, or a statement in symbolic logic) is either true or false; nothing can be undecidable.—George Johnson
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Merriam-Webster unabridged
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