Unanswerable a. : Not answerable; irrefutable; conclusive; decisive; as, he have an unanswerable argument.

Example:
What are the most insolvable or Unanswerable question in philosophy?

Taxonomy
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Defination from the web:
unanswerable in the Online Dictionary. Meaning of unanswerable. Pronunciation of unanswerable. Translations of unanswerable. ... Armed with these arguments, which appeared to her unanswerable, she drove to her daughter's early one morning so as to find her alone. ...