Although several chemical elements were not known by end of the 19th century, Mendeleev came up with an astonishing achievement, the periodic table of elements. He was not only able to predict the existence of (then) new elements, but also to provide accurate estimates of their chemical and physical properties. This is a profound example of the human intelligence. Here, we try to shed some light on the following question: Can an artificial intelligence system yield a classification of the elements that resembles, in some sense, the periodic table? To achieve our goal, we have used a self-organized map (SOM) with information available at Mendeleev's time. Our results show that similar elements tend to form individual clusters. Thus, although SOM generates clusters of halogens, alkaline metals, and transition metals that show a similarity with the periodic table of elements, the SOM did not achieve the sophistication that Mendeleev achieved. (Contains 5 tables and 3 figures.)