What are Carnap's views on the epistemology of mathematics? Did he believe in a priori justification, and if so, what is his account of it? One might think that such questions are misguided, since in the 1930s Carnap came to reject traditional epistemology as a confused mixture of logic and psychology. But things are not that simple. Drawing on recent work by Richardson and Uebel, I will show that Carnap's mature metaphilosophy leaves room for two distinct notions of a priori (...) justification: one propositional, the other doxastic. The latter is especially interesting since it comes closest to a traditional understanding of a priority. On the other hand, Carnap has little to say about doxastic justification in his writings. This lacuna can be filled by drawing on an unpublished exchange with Irving M. Copi. In it, so I will show, Carnap endorses the view that agents can come to know all mathematical truths a priori. This fact, so I will further argue, can be used to adjudicate a dispute between Ricketts and Friedman about the nature and viability of Carnap's philosophy of mathematics—specifically his reliance on infinitary methods. (shrink)

El Positivismo Lógico a menudo ha sido presentado como una corriente filosófica monolítica obviando las profundas disensiones que hubo en su seno. El presente artículo pretende corregir esta visión. Los dos primeros apartados de este artículo describen la constitución del movimiento y los elementos supuestamente nucleares de la concepción filosófica positivista. El tercer apartado discute las discrepancias sobre el papel de la filosofía entre los autores más representativos del movimiento. Para concluir se sugiere que la vigencia del legado positivista reside (...) no tanto en alguna tesis filosófica en particular, sino más bien en su compromiso metafilosófico con valores como la precisión y la claridad. (shrink)