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Definition of cogency : The quality of being cogent; power of compelling conviction; conclusiveness; force.

Synonyms:

readiness, robustness, ability, severeness, lustiness, rigor, grimness, energy, capability, hardness, rigorousness, hardiness, harshness, inclemency, talent, stiffness, hardship, dexterity, validity, rigour, expertness, aptitude, validness, asperity, cleverness, capacity, susceptibility, qualification, skill, efficiency, efficacy, rigourousness, competency, severity

mightiness, prepotency, charge, seniority, steam, sovereignty, domination, superiority, force, stature, influence, potency, authority, privilege, control, mandate, might, empowerment, prerogative, commission, powerfulness, clout, credential, birthright, faculty, office, command, primacy, puissance, sway, precedence, right, license, entitlement, punch, power, enfranchisement, rank, strength, prestige, purview, title, kingship

erudition, astuteness, judgment, intellect, mastery, knowledge, sophistication, perspicuity, comprehension, genius, profundity, wisdom, acumen, intelligence, sagaciousness

Usage examples:

• The squire's power of vituperation was notorious: he could be more than a match for roadside navvies and predatory tramps in cogency of epithet. - "The Adventures of Harry Richmond, Complete", George Meredith Last Updated: March 7, 2009.
• Dorothy asked, with feminine cogency. - "Hidden Gold", Wilder Anthony.
• In concluding this portion of my discussion of the problem of Mars, I wish to call attention to the fact that my argument, founded upon a comparison of the physical conditions of the earth and moon with those of Mars, is dependent upon a small number of generally admitted scientific facts; while the conclusions drawn from those facts are simple and direct, requiring no mathematical knowledge to follow them, or to appreciate their weight and cogency. - "Is Mars Habitable?", Alfred Russel Wallace.