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The article develops a philosophical approach on how to handle the riddle of creativity. Section I presents reflections on the concept of creativity: its value; the meaning and sense of the word; the possibility of a science of creativity; and on different types of creativity. Section II focuses on the differences and relations between psychological and philosophical conceptions of creativity, introducing a signo-interpretational approach that is developed in more details in Section III. There the discussion also deals with the conditions, structures and functions of creativity processes: the space of arbitrariness and polysemiosis; rule-following; rule violation; rule invention; and the shifting from possibilities to potentialities.