GÖDEL AND TURING ON MATHEMATICAL INTUITION: BETWEEN PLATONISM AND EMBODIMENT

This paper explores and elaborates on the views on mathematical intuition expressed in the writings of Kurt Gödel and Alan Turing as connected to the incompleteness phenomenon. While Gödel famously posited intuition as a suprasensible faculty directed toward abstract entities, Turing’s considerations go in the direction of understanding it as intimately connected to sensory perception. As we will see, Turing’s reflections, while unsystematized, offer an important point of dialogue and comparison to materialist, humancentered, and embodied approaches to mathematics and mathematics education.