2 Verbs to Use for the Word irreconcilables

Though it seems strange that an authority on Euclid and logic should have been the inventor of so diverting and irresponsible a tale, if we examine his story critically we shall see that only a logical mind could have derived so much genuine humour from a deliberate attack on reason, in which a considerable element of fun arises from efforts to reconcile the irreconcilable.

"France can rock her irreconcilables to sleep to the war lullaby of that man we have so trusted only to betray us; our irreconcilables only wait for war to side with our enemy.

2 Verbs to Use for the Word  irreconcilables