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Definition of nonexistence : 1. A thing that has no existence.
2. Absence of existence; the negation of being; nonentity.

Synonyms:

nobody, oblivion, nothing, negation, cypher

lack, vacancy, absence, want, truancy, emptiness, abstraction, void, omission, vacuity

impalpable, phantasmal, chimerical, unreal, unsubstantial, spectral, immaterial, null, vacuous, empty, inessential, tenuous, vacant, illusory, unconcrete, weightless, ethereal, apparitional, intangible

cipher, spectre, insignificance, tenuousness, zero, apparition, ethereality, nothingness, phantom, unreality, nihility, intangibility, nullity, immateriality, impalpability, mirage

naught, nil, meaninglessness, barrenness, non-subsistence, vacuousness, nonentity

Usage examples:

• Their nonexistence is positively unthinkable. - "Praying for Money", Russell H. Conwell.
• The railroads were thus permitted to adduce evidence to show that the discrimination was justified, but the act expressly stated that the existence of competition at some points and its nonexistence at others should not be deemed a sufficient justification of discrimination. - "The Agrarian Crusade A Chronicle of the Farmer in Politics", Solon J. Buck.
• It was in vain that repeated voyages and investigations proved its nonexistence; the public, after trying all kinds of sophistry, took refuge in the supernatural, to defend their favorite chimera. - "The Life and Voyages of Christopher Columbus (Vol. II)", Washington Irving.