"Decoding the Enigma: The Ultimate Solution to Russell’s Barber Paradox"
Barber’s paradox is a type of famous paradox related to set theory and also called "Russell’s paradox." It can be summarized as follows: Imagine a small village where there is only one barber. This barber has one strict rule in his profession: he shaves all the men in the village who do not shave themselves, and he does not shave those who shave themselves. The paradox lies in the question: Who shaves for the barber? If the barber tries to shave himself, he is violating his rule that he does not shave those who shave themselves. If he does not shave himself, he violates his rule that he shaves for everyone who does not shave himself.
Despite the difficulty of the paradox, there are rules that were neglected in this paradox at the beginning. We all know that every human being lives in a large society (the universe), which is the largest society that includes all groups, and smaller and smaller groups branch out from this society, but no individual within these groups leaves the boundaries of time and space. Type, attribute, and criteria. In my article, I will detail the solution to the paradox and explain each of the elements
1- The first element is location:
You have a person who has a job, and every job has a place, and with the presence of the place, time is determined because every job has a specific time. If you leave the workplace and move to another place, you move from one group to another. This means that in the first place, the work rules apply to you, and in the other place, the work rules do not apply to you. Example: The barber only shaves in his workplace. Therefore, the rule becomes valid as long as he is in his workplace. If he moves from his work to his home, or to a café, or to a restaurant, does his rule apply to him? The answer is no. If he is in his workplace, his job is a barber, but in his home, he is a loyal father and husband. A café or restaurant is a customer, and thus his movement from one place to another is a transfer from one group to another If he shaves himself or does not shave as long as he is outside the boundaries of his workplace, the rule does not exist at this moment
2- The second element is time:
Every work has a specific time, that is, it has a beginning and an end, and we all know that when the work time ends, the job ends and the person turns from an employee to a citizen Example : Suppose that the barber works two shifts, the first period in the barber shop and the second period in a café. At this moment, if the barber is in the first period of work, then he is a barber, and if he moves to the second period of work, then he is a waiter. If he performs any action in the second period, whether he shaves or does not shave, then he does not. He breaks his rule because of the difference in working hours and because he is a waiter and not a barber
3- The third element type:
Gender is the most important element in this paradox. In this paradox, the barber only shaves for men, and here there is another group that was not mentioned, which is women. It is as if you are talking about two different groups, such as the group of even numbers and the group of odd numbers, which are two different groups. The paradox says that there is one hairdresser in a village, and you did not say that there are no hairdressers. The rule did not prevent this. If the barber’s wife or one of his relatives was a hairdresser and she shaved for him or not, then he did not violate his rule.
4- The fourth element is the characteristic:
Every job has a specific characteristic and what makes a person move from one job to another or from one job to another is the economic return (income). Example: The barber does his work, and after finishing, he receives a wage from the customer. Every work has a wage. If the rule applies, it applies in the presence of a wage. If there is no wage, then the rule does not apply. This element will become clear in the last part because the fourth and fifth elements are closely linked.
5- The fifth element is standards:
I will detail this element for you in all its details. We know that work has a time, and the time of work is deducted from one’s life, so every wage obtained is the result of deducting the person from his life. Example: The barber shaves people by working for a specific time, and in return he takes wages from the people, and the money comes from his work, and the work comes from deducting part of the time, and time is deducting from the person’s life. Every wage the barber receives is part of the people’s time. Every work he does is deducted from the person’s life. Every person is among those to whom his rule applies. If there is no time allocated to another group, the rule does not apply to the first group.
Conclusion : Whoever sets the rules sets a way out for them, and every rule has conditions, so no rule is devoid of the spirit of the law. If there are no solutions, it is better not to set them, and the best solution for the barber is to resign from his job.