Has experience in Philosophy, focusing on Philosophy (Source: Lattes Curriculum)
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When analyzing metaphysical debates, some objects are traditionally the subject of discussion due to their challenging nature. Two of these are fictional and mathematical objects. There is a profusion of positions on the existence of such entities, so there is no expectation of a consensus on such ontological problems. Thus, these objects have become a starting point for discussing method…
Ontology is the area of philosophy concerned with the study of what there is; what constitutes reality. But what is the best method for investigating what there is? When are we allowed to say that something exists or not? These are questions that meta-ontology will try to answer. In this way, the ontology of mathematical objects will seek to study the existence of mathematical objects, wh…
Many mathematicians work regularly on the study of mathematical objects, like sets, functions, matrix, etc. However, could we say that these entities exist? It seems a hard question even when we are dealing with the mathematics entities that might be the most fundamental, numbers. Furthermore, assuming one of the positions, that is, saying that such entities exist or not, raise new philos…
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