The paradox Hangman

A judge declares a death row inmate that will be hung during a morning of the following week, but the day of the execution will be a total surprise to the poor man. It will know the day of his hanging that morning or the executioner will come knocking at his door, the only certainty being that the hangings are not held on the weekend. Back in his cell, the prisoner thinks about his award: he begins by saying that the "surprise hanging" will take place on Friday, because if he survives every day of the week until Thursday evening, it remain only on Friday for execution. And in this case, it will not be a surprise. He then said that the hanging will not take place on Thursday, either, because if it is still alive Wednesday night, Friday being eliminated automatically, it will only leave on Thursday. And therefore the execution will still not be a surprise. Following this same logic, the prisoner also eliminates Wednesday, Tuesday and Monday. Reassured, he deduced that the sentence will never be executed. The following week, the executioner comes knocking at the door of the condemned on Wednesday morning, which, despite all the reflections of the latter, actually remains a complete surprise. The judge was right. This paradox, seemingly simple, has divided schools of thought. He still has no clearly established solution.