Definition of "irreducibility" [ir•re•du•ci•bil•i•ty]

• The quality or degree of being irreducible. (noun)
• Something that is irreducible. (noun)

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• "Note also that Kuhlmann conflates an irreducible group representation with a cyclic representation; irreducibility is not the same thing as cyclicity."
• "All the better, so it would seem, to throw into relief Schelling's philosophical manliness, his sturdy willingness to embrace what the aesthetes and mere pretenders to philosophy would deny, namely the irreducibility of ardent affective life."
• "That is, Polanyi identified this kind of irreducibility as a naturalistic impossibility, and argued that it should be recognized as such by the scientific community, so I am simply attaching his name to the principle."