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.
The unification of mathematics via topos theory
Olivia Caramello
2022-01-01
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.
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