For example, imagine you have an infinite sequence of numbers such as the perfect squares: {1, 4, 9, 16, 25, 36, 49, 64, 81, 100, …}. The perfect squares have an arithmetic progression of length three ...

There are an infinite number of these: 0, 1, 5, 6, 25, 76, 376, and so on. As it turns out, aside from 0 and 1, all automorphic numbers end with either 5 or 6.

Perhaps among an infinite number of potential reasons for the choice, this mathematical link was one. Balthasar Grabmayr, Junior Professor of Philosophy, University of Tübingen.

But the number of the returning Captains of Thought, of the original discoverers of the infinite, constantly increases, and they come to greet and to know one another, from afar in either space or ...