"The point of this seminar is not only to acquaint us with the vibrant landscape of contemporary mathematics – and the field of sheaf logic and category theory, in particular – but to show us how this landscape’s powerful new concepts can be deployed in the fields of philosophy and cultural production. Its aim is nothing less than to ignite a new way of thinking about universality and synthesis in the absence of any absolute foundation or stable, pre-given totality – a problem that mathematics has spent the better part of the last fifty years thinking its way through, and which it has traversed by means remarkable series of conceptual inventions – a problem which has also animated philosophical modernity and its contemporary horizon.
"Our guide in this endeavour will be Fernando ZALAMEA, a Columbian mathematician, philosopher and novelist whose work seeks to explore the life of contemporary mathematics while redeploying its concepts and forces beyond their native domain. In an incessant, pendular motion, he weaves the warp of post-Grothendieckian mathematics through a heterogeneous weft of materials drawn from architecture and fiction, sculpture and myth, poetry and music.
"Just as analytic philosophy emerged from the shockwaves of the explosion of classical logic and set theory onto the scene in the early 20th century, the conceptual force of mathematics after Grothendieck holds the potential to spawn a new, 'synthetic' vision of mathematically-conditioned philosophy for the present age, one which Zalamea foreshadows under the rubrics of transitory ontology, epistemological sheaves, and universal pragmaticism."