Abstract:

The concept of infinity and the Aristotelian conception is compared with the Platonic one. The discussion between Saint Bonaventure and Saint Thomas on the question of the demonstrability of the temporal finiteness of the world is reviewed. The position of Georg Cantor is critically presented, analyzing its diagonal process, as well as the Alan Turing variant, and the opposition that his ideas had at the time is commented. The paradox of the lord of the abscissa is introduced, which shows the inconsistency of actual infinity theory, and its logically disgusting character. The impact of the elimination of actual infinity in physics, mathematics and theology is indicated, in response to G. Boffi.

Key words:

Georg Cantor, Thomas Aquinas, Alan Turing, paradox