English

The unification of Mathematics via Topos Theory

Category Theory 2010-06-22 v1 Algebraic Geometry Logic

Abstract

We present a set of principles and methodologies which may serve as foundations of a unifying theory of Mathematics. These principles are based on a new view of Grothendieck toposes as unifying spaces being able to act as `bridges' for transferring information, ideas and results between distinct mathematical theories.

Keywords

Cite

@article{arxiv.1006.3930,
  title  = {The unification of Mathematics via Topos Theory},
  author = {Olivia Caramello},
  journal= {arXiv preprint arXiv:1006.3930},
  year   = {2010}
}

Comments

42 pages