Ficcionalismo matemático y si-entoncismo russelliano ¿dos caras de la misma moneda?

Abstract

In this paper we contend, against what fictionalism advocates use to hold, that logicism, in its pre Principia Mathematica if-thenist version, is unexpectedly similar to fictionalism, at least in H. Field’s version of the latter. We support this similarity claim by examining, on the one hand, each conception held by Russell during that period and, on the other hand, by confronting both views with the applicability of mathematics issue. Finally, we show that such views can be characterized by means of a non-constructive condition upon the models, i.e. the serial condition, and that, despite its realist implications, this characterization seems to philosophically support modal if-thenism rather than fictionalism.