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What does irreducibility mean?

Looking for the meaning or definition of the word irreducibility? Here's what it means.

Noun
  1. (uncountable) The quality or degree of being irreducible.
  2. (countable) Something that is irreducible.
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Examples
The lyric can be a place in which to insist on the irreducibility of desire.
In fact, the poet depends on the irreducibility of such cognitively significant meanings in order for him to be creative.
His images, like Celan's, are concentrated to the point of irreducibility.
In addition, she rightly admits the inherent irreducibility of all media.
The fact that mind evades complete objectification is not a signal of its irreducibility to mechanics.
It is the characters' many-sidedness, their irreducibility to a formula, that he believes accounts for readers' continuing delight in Joyce's narrative.

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