irreducible

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irreducible

Maths
a. (of a polynomial) unable to be factorized into polynomials of lower degree, as (x2 + 1) FORMULA
b. (of a radical) incapable of being reduced to a rational expression, as &#221A(x + 1)
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
References in periodicals archive ?
The problem, again, is that since the time of Descartes, science has for methodological purposes essentially defined matter in such a way that meanings, purposes, and irreducibly qualitative features are excluded from it.
Lash explores the classically modern notion of experience in Kantian critique and argues that it is irreducibly dependent upon Kant's posited self-identical subject.
A play is an irreducibly unique stratagem that people and organizations employ to advance their point of view, from the preferred win-win to the zero-sum game.
A defender of Streumer's particular way of understanding the error theory could argue that moral reasons are irreducibly normative but epistemic reasons are not irreducibly normative.
He focuses on democratic culture rather than the democratic state, and operates from the liberal view that collective life is irreducibly plural.
IN A timely way, itwas announcedthisweekthat Secretariatdidinfactsetatrack recordwhenhewonthe Preaknessin1973,thatprevious timingswereincorrect.Theonly truthful responsetothatis'sowhat?' WatchthatPreaknesson YouTube, andthe thing that sticks irreducibly in thememoryisthemoveSecretariat made on the clubhouse turn, Arazi-esque 18 years early, a breathtakingexpositionofpowerand majestyandclass.Hisfinaltimeisno morethanafootnote;inanycase, Farma Wayholdsthe recordnowand no-onesings s ongsabout Farma Way.
The individuation of intentional states of mind is irreducibly normative (the intentional is normative).
Bill, Heller began his literary career as an imitator, aping the terse, dialogue-based, and decidedly goyish rhythms of Hemingway, William Saroyan, and John O'Hara, whose collective convictions a mature Heller would later describe as "hard-nosed, sexist attitudes embodying implicit assessments of materialism, wealth, Babbitry, and ideals of masculinity and male decency that I accepted as irreducibly pure." The New Yorker rejected his early stories, telling him to write from his own experience.
He sees, as British political philosopher John Gray puts it, a "value-pluralism, that ultimate human values are objective, but irreducibly diverse, that they are conflicting and often uncombinable, and when they do come into conflict with one another they are incommensurable; that is, they are not comparable by any rational measure:' Further, Gray theorizes: "The idea of a perfect society in which all genuine ideals and goods are achieved is not merely utopian; it is incoherent.
This is a perfect example of literary work being irreducibly complex.
An irreducibly personal space for reflection, opinion and dissent is thus framed, enabling the possibility of challenging a certain order of things, of knowledge; perhaps even of questioning a distribution of power.' That's Jacques Ranciere defining a painting.
His thesis is that all experience of reality structurally presupposes some 'sense' of it which--since grounded in embodiment--is irreducibly multiple.