@article{Silva_2016, place={Campinas, SP}, title={A PHENOMENOLOGICAL INQUIRY INTO THE CONCEPT OF SET}, volume={28}, url={https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8643809}, abstractNote={The main concern of this paper is the justification of the axioms of Zermelo-Fraenkel set theory, either as true statements about a concept of set (if we consider set theory as a conceptual theory) or, alternatively, as true statements about abstract objects (considering ZFC as an objectual theory). I want to argue here that, in either case, set theory can be seen as a body of knowledge largely built on intuitive foundations (rather than an instrumental theory conceived mainly for pragmatic purposes, the needs of mathematics in particular). I call this inquiry “phenomenological” for it approaches its subject from the perspective of the intentional acts that originate sets as doubly dependent objects (of other objects – their elements – and of a subject – taken here simply as the abstract form of a real subject – who collects these elements into a set). Such an inquiry, I believe, brings to light the essential characters of sets as objects or, alternatively, the concept of set, which the axioms of the theory (or at least most of them) express.}, number={2}, journal={Manuscrito: Revista Internacional de Filosofia}, author={Silva, Jairo José da}, year={2016}, month={mar.}, pages={291–316} }