1 if differences or disagreements are irreconcilable, they are so great that it is not possible to settle them:
irreconcilable differences / conflicts
2 if an idea or opinion is irreconcilable with another, it is impossible for sb to have both of them together:
This view is irreconcilable with common sense.
3 people who are irreconcilable cannot be made to agree:
irreconcilable enemies
