Like Adorno, Danto believes that art is irreducible to the stuff of which it is made.
There is an irreducible mystery to the process.
The intelligent design argument counters evolution by claiming some processes are irreducible and couldn't have come about piecemeal.
Football's violence, it is true, is contained within rules and conventions, and controlled by a punishment regime, but it is also irreducible .
Its possible meanings are many, complex, and like all great poetry, irreducible to simple generalizations.
The explanation of a phenomenon is irreducible to a statement of the event that happens to precede it.
Instead, evil becomes abstract and inescapable, defiant of natural law and irreducible to a single bad person or wrong action.
Similarly, collective identities are irreducible to the sum of the experiences of individuals.
Each individual is, in a certain sense, absolute, irreducible to another.
Interpersonal relations at their most irreducible level - person to person - are fraught with misunderstandings and miscommunications.