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)
References in periodicals archive ?
Further, we cannot get on with the project of determining what we have reason to do without committing ourselves (possibly merely implicitly) to the existence of irreducibly normative facts.
As a result, there is growing recognition that, despite one trajectory in Kant's thought that would reduce religion to morality without remainder, there is another trajectory in which religion--or at least elements central to Christian claims about God, the human person, and human destiny--functions as an irreducibly distinct and necessary feature in Kant's account of the critical engagement of finite human reason with the realms of its proper activity: nature and freedom.
When these two moments are superimposed, the fictional temporal element at the center becomes irreducibly ambiguous.
The paper then develops an alternative similar to Lange's proposal and argues that on this alternative conception, there might well be irreducibly biological laws that are indeed part of the mind-independent structure of the universe.
The instant is originary time, and it is irreducibly different from the present, because it is precisely that which cannot be brought into the transparency of conceptual presence.
He argues forcefully in each chapter that moral cognition is irreducibly imaginative in character.
Yet you yourself have moved in predominantly white worlds without ceasing to be irreducibly black, as it were.
If we argue that the natural sciences are irreducibly culture-bound, how can we hope to make epistemic progress of any kind?
While it may be tempting to see his poetry in relation to a new generation of artists who work with language but are not "conceptual"--artists as different as Kenneth Goldsmith and Sean Landers--its approximation to the condition of visual art is actually contingent on a project that is irreducibly poetic, though (like the contemporaneous work of John Cage or Jackson MacLow) transgressive of the conventions of poetry.
It seems, then, that Descartes was committed to there being two irreducibly distinct kinds of substances and three irreducibly distinct kinds of properties--substance dualism combined with property trialism.
So religious discourse is irreducibly "poetic" in carrying multiple levels of meaning, and proposing a world of possibilities for overcoming estrangement from transcendence (pp.