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These nouns refer to the quality of being in accord with fact or reality. Truth is a comprehensive term that in all of its nuances implies accuracy and honesty: "We seek the truth, and will endure the consequences" (Charles Seymour).
Veracity is adherence to the truth: "Veracity is the heart of morality" (Thomas H. Huxley).
Verity often applies to an enduring or repeatedly demonstrated truth: "beliefs that were accepted as eternal verities" (James Harvey Robinson).
Verisimilitude is the quality of having the appearance of truth or reality: "merely corroborative detail, intended to give artistic verisimilitude to an otherwise bald and unconvincing narrative" (W.S. Gilbert).
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No limits in my imagination