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Conjecture

/kəˈndʒɛktʃər/
C1
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(noun) A statement or an idea which is unproven, but is thought to be true; a guess.

In any case, you are wrong in your conjecture.
The entire public and political debate is based on conjecture, not on fact.
CEFR Practice Quiz
Since there is no hard evidence yet, any theory regarding the suspect's motive is pure ____.

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