arXiv subjects
Publications and source records attributed to M. Muñoz Pérez.
In this paper we will try to provide a solid form of intrinsic set theoretical optimism. In other words, we will try to vindicate Gödel's views on phenomenology as a method for arriving at new axioms of ZFC in order to decide independent statements such as CH.
Putnam and Finkelstein can be read as providing an answer to Kripke's skeptical argument by appealing to the way mathematics is commonly pursued. Nowadays, the debate surrounding pluralism has questioned the postulation of a unique way of developing mathematical activity. In this paper, we wish to reformulate Kripke's argument as a challenge for the conjunction of 'ifthenism' and a reasonable form of pluralism (which we have called '$V$-pluralism') and, at the same time, propose a reading of some passages of the 'Philosophical Investigations' as a solution. Our conclusion is that, in order for pluralism to be preserved, we need to clarify both the fact that we make definite 'decisions' and the philosophical value that they, as we argue, bear. To investigate the nature of this value is one of the further tasks want to cover in this article.