IRREDUCIBLE • DICCIONARIO INGLES.COM • Definition of Irreducible

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adjective

Irreducible adj.

Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.

(Math.) Incapable of being reduced to a simpler form of expression; as, an irreducible formula.

Irreducible case (Alg.), a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application.

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Etymology of 'Irreducible'

Collaborative International Dictionary of English 0.48

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"Irreducible" Quotes from Famous Books

... Conference of Lambeth, 1888, formulated the famous "Quadrilateral" whereby the Scriptures as Rule of Faith, the Apostles' and Nicene Creeds, the two sacraments of Baptism and of Eucharist, and the Episcopacy or apostolic succession, are "as the irreducible minimum on which they would open ...

— Catholic Problems in Western Canada • George Thomas Daly

... conversion can very well exist and at the same time escape your attention; and it is not certain that your intelligence in this respect has risen to the level of your experience. But, admitting the negative argument of M. Liebig, what follows? That, with about fifty-six exceptions, irreducible as yet, all matter is in a condition of perpetual metamorphosis. Now, it is a law of our reason to suppose in Nature unity of substance as well as unity of force and system; moreover, the series of chemical compounds ...

— The Philosophy of Misery • Joseph-Pierre Proudhon