First of all, according to our conventional thinking, since Plato's college is a teaching place, I will definitely study if I don't understand it. Obviously, this conflicts with the concept of universal compulsory education that we usually see in schools.
Secondly, what is a "person who doesn't know geometry"? What is "geometry"? The word "geometry" comes from Arabic and refers to the measurement of land, that is, geodesy. Later, Latin transliteration was "geometria". The Chinese word "geometry" was coined by Xu Guangqi when Matteo Ricci and Xu Guangqi jointly translated The Elements of Geometry in the Ming Dynasty. In our mathematics and geometry textbooks, we usually think of real things in life, such as the opposite sides of a rectangular table are equal, and the sum of the inner angles of a triangular shelf is 180 degrees. So our first impression of geometry in our mind is that we can use it to describe things around us. This is a useful subject, especially in the fields of architecture and engineering. It is the existence of utilitarianism that makes us ignore the origin of geometry. Geometry is gradually formed by accumulating a lot of fragmentary knowledge about the shape, size and position of objects due to the needs of production and life in the process of evolution. However, maybe it is too close to our life, especially the life of modern people. The house we live in, the car we take, the cabinets we use, etc. can all see geometry, so we can feel particularly familiar with it. However, interestingly, such a familiar topic is actually far away from us. Why do you say that? This is because geometry and even mathematics do not exist in the first place. Is there a straight line in this world? Does it make sense? None of them exist. All geometric concepts are completely abstract thinking modes beyond reality.
Third, what is really interesting is that this mode of thinking can evolve on its own. For example, the Mandelbrot set is just a simple geometric figure that is constantly evolving, but it can form all kinds of wonderful patterns. However, this kind of evolution usually needs a long derivation process, just like the steps in the book Elements of Geometry, so we often have no patience to learn and deduce. This also shows that most of us still rely on experience to make decisions, and few people are willing to take the time to make logical deduction to make decisions.
People who don't know geometry are not allowed in, which is a kind of praise for pure logical thinking. As the most basic model of pure logical thinking, Geometry Elements tests whether a person can have the perseverance to discover the essence of things and the patience to do thought experiments.