English

Noun

irreconcilability ‎(uncountable)

1. The quality of being irreconcilable; irreconcilableness.
   • 185?, Charles Dickens, Little Dorrit

     There was something almost ludicrous in the complete irreconcilability of a vague conventional notion that he must be a visionary man, with the precise, sagacious travelling of his eye and thumb over the plans […]

References

• irreconcilability in The Century Dictionary, The Century Co., New York, 1911
• irreconcilability in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913