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What (who) is irreducible inconsistency - definition

ONE CASE WHEN SOLVING A CUBIC EQUATION

Irreducible Case; Irreducible Case (cubic); Irreducible cubic

Dynamic inconsistency

WHEN A DECISION-MAKER'S FUTURE PREFERENCES CAN CONTRADICT EARLIER PREFERENCES

Time inconsistency; Policy inconsistency; Present-biased preferences; Dynamically inconsistent; Dynamic consistency; Time-inconsistent preferences; Monetary policy inconsistency

In economic policy and economics, dynamic inconsistency or time inconsistency is a situation in which a decision-maker's preferences change over time in such a way that a preference can become inconsistent at another point in time. This can be thought of as there being many different "selves" within decision makers, with each "self" representing the decision-maker at a different point in time; the inconsistency occurs when not all preferences are aligned.

https://en.wikipedia.org/wiki/Dynamic_inconsistency

Casus irreducibilis

In algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in solving polynomials of degree 3 or higher with integer coefficients algebraically (as opposed to numerically), i.e.

https://en.wikipedia.org/wiki/Casus_irreducibilis

P2-irreducible manifold

3-MANIFOLD THAT IS IRREDUCIBLE AND CONTAINS NO 2-SIDED REAL PROJECTIVE PLANE

P-irreducible; P²-irreducible; P2-irreducible

In mathematics, a P2-irreducible manifold is a 3-manifold that is irreducible and contains no 2-sided \mathbb RP^2 (real projective plane). An orientable manifold is P2-irreducible if and only if it is irreducible..

https://en.wikipedia.org/wiki/P2-irreducible_manifold

Wikipedia

Casus irreducibilis

In algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in solving polynomials of degree 3 or higher with integer coefficients algebraically (as opposed to numerically), i.e., by obtaining roots that are expressed with radicals. It shows that many algebraic numbers are real-valued but cannot be expressed in radicals without introducing complex numbers. The most notable occurrence of casus irreducibilis is in the case of cubic polynomials that have three real roots, which was proven by Pierre Wantzel in 1843. One can see whether a given cubic polynomial is in so-called casus irreducibilis by looking at the discriminant, via Cardano's formula.

https://en.wikipedia.org/wiki/Casus irreducibilis