inconvincible
adjective
Roget 487: incredulous, skeptical, unbelieving, inconvincible†; hard of belief, shy of belief, disposed to doubt, indisposed to believe; suspicious, scrupulous, distrustful, cynical;
Moby thesaurus: cautious, disinclined to believe, disposed to doubt, guarded, hard of belief, impervious to persuasion, incredulous, leery, shy of belief, skeptical, suspecting, suspicious, unconvincible, uncredulous, unpersuadable, unpersuasible, unwilling to accept, wary.
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