irreducibility
- noun
- /ˌɪrɪˌdjuːsəˈbɪləti/
- Specialized
- In mathematics, the concept of irreducibility implies that a certain polynomial cannot be factored into simpler polynomials.
Examples
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Precisely because the goal is a hypergood and not simply one good among others, it always involves an element of irreducibility implicating its adherents in endless procedures that never attain absolute presence.
Academic text (1997) -
Perhaps this irreducibility has something to do with the way that souvenirs are mnemonic signposts for emotional connections.
Academic text (2013) -
What we call freedom is the irreducibility of the cultural order to the natural order.
Academic text (1997) -
What Levinas poses as an alternative is the irreducibility or underivability of our concern for the other.
Academic text (1994) -
Proponents of levels point to the 'irreducibility' of descriptions of and laws governing higher-level items.
Blog text (3) -
The novel highlights the irreducibility of the characters' existential demand for meaning to the available social and medial forms of communication (religion, literature, art, advice).
Academic text (2016) -
In contrast, Foucault insists on the irreducibility of the image to thought or discourse, on the "density" of the image as image (35).
Academic text (1995) -
The law of computational irreducibility (which would definitely be one of the Seven Laws of Computational Hermetics, if any such list existed) states that for any system surpassing a certain minimum level of complexity, the only way to learn the outcome is to run the system.
Blog text (20) -
They claim irreducibility of three univariate polynomials with integer coefficients and if that is true, then Euler's concept of a perfect box can't exist.
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Although Kant's philosophy recognizes "the irreducibility of the two aspects of this dualism, it implies that this dualism itself is the hen kai pan one and all and that it contains the total solution.
Academic text (1993)
Synonyms
Data that no computer program can make shorter
Antonyms
How Reducible
- Specialized
Surface Forms
Morphology
irreducibility = irreducible (transparent) = ir + reduce + ible + ity
Formed by adding the productive noun-forming suffix '-ity' to the adjective 'irreducible', preserving the adjective's meaning.
Etymology
The word irreducibility comes from the parts ir- meaning 'not' and reduce meaning 'make smaller' or 'simplify', so it names something that 'cannot be made simpler'.