That he should ever fall into a thoroughly unpleasant position—wear trousers shrunk with washing, eat cold mutton, have to walk for want of a horse, or to "duck under" in any sort of way—was an absurdity irreconcilable with those cheerful intuitions implanted in him by nature.
He saw even more keenly than Rosamond did the dreariness of taking her into the small house in Bride Street, where she would have scanty furniture around her and discontent within: a life of privation and life with Rosamond were two images which had become more and more irreconcilable ever since the threat of privation had disclosed itself.
There are no more uses of "irreconcilable" in the book.
Show samples from other sources
They said they are divorcing because of irreconcilable differences.
We concluded that our differences were irreconcilable, so we divorced.