from The Century Dictionary.
- noun The quality or state of being irreducible.
from the GNU version of the Collaborative International Dictionary of English.
- noun The state or quality of being irreducible.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun uncountable The quality or degree of being
- noun countable Something that is irreducible.
Sorry, no etymologies found.
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.
There are interpreters of Aristotle who think that this kind of irreducibility is all that Aristotle means ” or needs to mean ” by postulating an explanatory role for substantial form.
A fundamental pheonomenon I call computational irreducibility.
But computational irreducibility makes it really hard to tell.
And this is one of my favorite things about Wallace when he's at his best: he sets up an exploration of meaning that endlessly folds in on itself, so that you come away feeling that you have experienced the irreducibility of an idea, the inability to simplify virtually any idea that is explored at enough length.
And there is a curious sense in which the discoveries of NKS about computational irreducibility are what make Wolfram | Alpha possible.
But in a sense it is the very ubiquity of computational irreducibility that forces there to be only small islands of computational reducibility — which can readily be identified even from quite vague linguistic input.
There are limits from computational irreducibility to how easy it is to work out consequences.