Towards Foundational Pluralism...

Les Desmoiselles d'Avignon, Picasso

Hardy `asked `What's your father doing these days. How about that esthetic measure of his?' I replied that my father's book was out. He said, `Good, now he can get back to real mathematics'.
Garret Birkhoff

• failure of Hilbert's program




• a plurality of perspectives on the foundations of mathematics




• the Neo-Platonism of the working mathematician