ABSTRACT

Paradoxes are products of homo ludens—they are logical legerdemain, showing how logic can be turned upside down to show its fallibility. But paradoxes, like most puzzles, are also sources of discovery. The goal of the puzzle is to fill in the remaining empty cells, one number in each, so that each column, row, and box contains all the numbers from one to nine, and so that no number is repeated in any row, column or inside a box. The puzzle art of Hubert Phillips actually exemplifies how logic and imagination form a blended system of thought. Logic and imagination clearly form a blend in reasoning, or “reckoning,” to use Ahmes’ pertinent term. The blend of mythos and logos is the neurological blueprint for the emergence of human cultures throughout the world. Many puzzles and games based on chance seem to reveal hidden logical structure in their own unique ways.