irresolvable

[ ir-i-zol-vuh-buh l ]

/ ˌɪr ɪˈzɒl və bəl /

not resolvable; incapable of being resolved, analyzable, or solvable.

Origin of irresolvable

First recorded in 1650–60; ir-² + resolvable

ir·re·solv·a·bil·i·ty, ir·re·solv·a·ble·ness, noun

Is it a puzzle to be solved, or is the ambiguity meant to stand, irresolvable?

Juan Do Paints a Puzzle Picture |Blake Gopnik |January 3, 2013 |DAILY BEAST
Are these truths ultimate and irresolvable facts, or are their complexities and perplexities the mere expressions of a higher law?

Man's Place in Nature and Other Essays |Thomas Henry Huxley
In sex are we always to be faced with an irresolvable tangle of disharmonies?

The Truth About Woman |C. Gasquoine Hartley
For the twentieth time, this irresolvable problem troubled him.

Against The Grain |Joris-Karl Huysmans

The nebulae of his spirit are resolved or shown to be irresolvable.

Birds and Poets |John Burroughs
It is the one quantity that is endowed with a magnitude which is both inconceivable and irresolvable.

The Mystery of Space |Robert T. Browne

irresolvable

/ (ˌɪrɪˈzɒlvəbəl) /

not able to be resolved into parts or elements

not able to be solved; insoluble

irresolvability or irresolvableness, noun irresolvably, adverb