What does «irreducible» mean in Spanish?

That it cannot be reduced.

Examples of use in Spanish: "de tamaño irreducible".
That cannot be subdued, conquered or persuaded.

Examples of use in Spanish: "la irreducible guerrilla ofrecía gran resistencia".

"de carácter irreducible".

"el espíritu irreducible de sus gentes".

"la igualdad es un valor fundamental, un principio ético irreducible".
That there is no conciliation possible.

Examples of use in Spanish: "las dos facciones son irreducible, no se pondrán de acuerdo".
It is said of some dislocations, fractures, hernias, which can not be taken to the place of before or can not be reduced.