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Wordnet 3.0

NOUN (1)

1. (logic) a statement that contradicts itself;
- Example: "`I always lie' is a paradox because if it is true it must be false"

The Collaborative International Dictionary of English v.0.48:

paradox \par"a*dox\ (p[a^]r"[.a]*d[o^]ks), n.; pl. paradoxes (p[a^]r"[.a]*d[o^]ks*[e^]z). [F. paradoxe, L. paradoxum, fr. Gr. para`doxon; para` beside, beyond, contrary to + dokei^n to think, suppose, imagine. See Para-, and Dogma.] A tenet or proposition contrary to received opinion; an assertion or sentiment seemingly contradictory, or opposed to common sense; that which in appearance or terms is absurd, but yet may be true in fact. [1913 Webster] A gloss there is to color that paradox, and make it appear in show not to be altogether unreasonable. --Hooker. [1913 Webster] This was sometime a paradox, but now the time gives it proof. --Shak. [1913 Webster] Hydrostatic paradox. See under Hydrostatic. [1913 Webster]
WordNet (r) 3.0 (2006):

paradox n 1: (logic) a statement that contradicts itself; "`I always lie' is a paradox because if it is true it must be false"
Moby Thesaurus II by Grady Ward, 1.0:

57 Moby Thesaurus words for "paradox": Gordian knot, absurdity, ambiguity, ambivalence, antinomy, asymmetry, contradiction, crux, dilemma, disproportion, disproportionateness, enigma, equivocality, equivocation, heresy, heterodoxy, heterogeneity, hopelessness, impossibility, impossible, impossibleness, incoherence, incommensurability, incompatibility, inconceivability, incongruity, inconsistency, inconsonance, irony, irreconcilability, knot, knotty point, mystery, no chance, node, nodus, nonconformability, nonconformity, nonplus, oxymoron, perplexity, pons asinorum, poser, problem, puzzle, quandary, self-contradiction, teaser, the impossible, unconformability, unconformity, unimaginability, unorthodoxy, unthinkability, vexed question, what cannot be, what cannot happen
The Free On-line Dictionary of Computing (18 March 2015):

Paradox A relational database for Microsoft Windows, originally from Borland. Paradox 5 ran on Microsoft Windows [version?] and provided a graphical environment, a debugger, a data modelling tool, and many "ObjectPAL" commands. Paradox 7 ran under Windows 95 and Windows NT. Latest version: Paradox 9, as of 2000-02-10 (a Corel product). ( [Update?] (1996-05-27)
The Free On-line Dictionary of Computing (18 March 2015):

paradox An apparently sound argument leading to a contradiction. Some famous examples are Russell's paradox and the liar paradox. Most paradoxes stem from some kind of self-reference. Smarandache Linguistic Paradox ( (1999-11-05)