From the Closed Universe to an Open World

摘要

There are different aspects and spheres of unconventional computations. In this paper, we analyze philosophical and methodological implications of algorithmic issues of unconventional computations. At first, we describe how the algorithmic universe was developed and analyze why it became closed in the conventional approach to computation. Then we explain how the new models of algorithms changed the algorithmic universe, making it open and allowing higher flexibility and superior creativity. As Godel undecidability theorems imply, the closed algorithmic universe restricts essential forms of human cognition, while the open algorithmic universe eliminates such restrictions.