Consideraciones lógico-epistémicas relativas a una forma de conceptualismo ramificado

Abstract

An intuitive interpretation of constructive knowability is first developed. Then, an epistemic second order logical system (which formalizes logical aspects of the interpretation) is constructed. A proof of the relative consistency of such a system is offered. Next, a formal system of intensional arithmetic (whose logical basis is the aforementioned second order system) is stated. It is proved that such a formal system of intensional arithmetic entails a theorem, whose content would show possible limitations to constructive knowability.