Universalidad y aplicabilidad de las matemáticas en Wittgenstein y el empirismo logicista

Abstract

This paper studies the notions of universality and applicability of mathematics in the writings of Wittgenstein’s middle period. Against a common opinion, the author argues that mathematics is not a science of the most abstract and general. By focusing on the notion of grammar in Philosophical observations and Philosophical grammar , the author holds that one can account for the use of mathematics in extra mathematical contexts without resorting to what he calls the myth of universality.