2020/12/21 by Drago, Antonino
#FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph)
paper · doi:10.48550/arxiv.2012.12030
A new mathematics, the constructive one, characterizes a singular limit as undecidable. Hence, a singular limit between two theories actually represents a difference between two different kinds of mathematics. This particular situation suggests a mathematical definition of the notion of incommensurability. As a consequence of the resulting incommensurabilities among many couples of theories the foundations of physical theories are pluralist, not only in both epistemological and ontological senses, but also in mathematical sense. Hence since longtime the history of physics is developing along a plurilinear path.