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 (ĭr′ĭ-do͞o′sə-bəl, -dyo͞o′-)
Impossible to reduce to a desired, simpler, or smaller form or amount: irreducible burdens.

ir′re·duc′i·bil′i·ty, ir′re·duc′i·ble·ness n.
ir′re·duc′i·bly adv.
References in periodicals archive ?
Contrary to Lefort, Daly argues that asymmetry "guarantee[s] the irreducibility of the Other," because selves and objects just do exhibit "contingency and opacity" (145, emphasis mine), and "are constantly changing" (144).
By contrast, Stengers reads thermodynamics as a way of thinking about the irreducibility of physical systems to these principles.
In cases of persisting or recurring clubfoot, adaptive changes occur at the bony level resulting in irreducibility with manipulations.
In sections on the phenomenon of religion, faith and reason, and Pauline resonances, they consider such topics as whether ontology is the last form of idolatry: a dialogue between Heidegger and Marion, the status of truth and the irreducibility of faith in the work of Nietzsche, Heidegger's destructed concept of faith as the origin of questioning in philosophy, and the experience of contingency and the attitude to life: Nietzsche and Heidegger on Paul.
In many realms he argues that local production might increase and emerging global governance could be limited by established spheres of global responsibility guided by three principles: subsidiarity (decisions should be made at the most local level possible), irreducibility (only what must be handled globally is handled globally) and heterogeneity (diversity of governance styles and forms within democratically governed regions and subregions).
Apart from exploring their dimensions, smoothness, and irreducibility properties, we have in mind to determine their Hilbert polynomials (which among other things encode their degrees, the latter being important enumerative invariants).
Incarcerated hernia is characterised by a painful episode, with a momentary irreducibility of the hernia that yields spontaneously.
Condition (A1) indicates that the weak irreducibility of [?
We would expect Warren's description of this experience to unfold, in a Levinasian reading, from his encounters with either the music-as-other, his bandmates-as-others, or the audience-as-other, and emphasize the slippages and irreducibility of this encounter, the music's strangeness, whence arrives its lesson: I am not knowable, thus you must respond ethically, with the hospitality and yet distance afforded the stranger.
Others have reported instances where the irreducibility of a patella dislocation was associated with fracture.
Mereological irreducibility is thus distinct from causal irreducibility.
Pynchon highlights the material irreducibility of the colonial body subjected to European imperialism and the obdurate object world of midcentury industry and technology.