Controversial vs. Incontrovertible

Controversial and Incontrovertible Definitions
Controversial
Of, producing, or marked by controversy
A controversial movie.
A controversial stand on human rights.
Incontrovertible
Impossible to dispute; unquestionable
Incontrovertible proof of the defendant's innocence.
Controversial
Fond of controversy; disputatious.
Incontrovertible
Not capable of being denied, challenged, or disputed; closed to questioning.
Her statement that Hitler was evil is incontrovertible.
Incontrovertible evidence
Controversial
Arousing controversy—a debate or discussion of opposing opinions.
Incontrovertible
Not controvertible; too clear or certain to admit of dispute; indisputable.
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Controversial
Relating to, or consisting of, controversy; disputatious; polemical; as, controversial divinity.
Whole libraries of controversial books.
Incontrovertible
Impossible to deny or disprove;
Incontrovertible proof of the defendant's innocence
Proof positive
An irrefutable argument
Controversial
Marked by or capable of arousing controversy;
The issue of the death penalty is highly controversial
Rushdie's controversial book
A controversial decision on affirmative action
Incontrovertible
Necessarily or demonstrably true;
Demonstrable truths