"irreducible" is a valid word in written English, and is used to describe something that cannot be made any simpler or reduced in size, number, complexity, etc.
For example: "The equation is irreducible, so there is no way to solve it."
Surprisingly, he voted to uphold whole-life sentences in England and Wales – surprising because, three years earlier, in another case at the European court, he had said: "I consider that the time has come when the court should clearly affirm that the imposition of an irreducible life sentence, even on an adult offender, is in principle inconsistent with article three of the convention".
Of the three Mr Mankiw proposes, only Steve Jobs plausibly had an irreducible, unique effect on material culture and the structure of an industry.
America might no longer be able to meet its "irreducible" defence needs, such as winding down the Iraqi and Afghan wars responsibly, deterring Iran, hedging against a rising China, protecting the sea lanes and keeping terrorists at bay.All this sounds a mite alarmist.
But he believes there is an irreducible something for which he uses the word "bottomlessness"—a sense of endless resonance inherent in the words themselves.
One point advanced in favour of intelligent design the "irreducible complexity" of some living things was purportedly scientific, but it was not well-founded, the judge ruled.
He is searching for the awkward truth, the "weight, texture and irreducible uniqueness of what he sees".
And in backing an irresponsible student demand for a referendum on educational policy, a subject irreducible to a single question, it has shown intellectual cowardice.
He had an ideological clarity and direction (or "irreducible core", as he put it) that his more tactical Tory admirers have not matched.
As a result, for Israel and its supporters around the globe, there is one conclusion to draw from the irreducible fact that Palestinians make more babies at a faster rate than Israeli Jews: The only way for Israel to remain what its founders, builders, and supporters wanted/want it to be a democratic and Jewish homeland is to get out of the West Bank.
A British historian, Herbert Butterfield, called this the "absolute predicament and irreducible dilemma".
If the Turks are to find their way to Europe, they will need to grow thicker skins.For European politicians, the queasiness of many citizens about embracing another large, impoverished country is a hard, irreducible fact.
