Mathematical Entities: mathematical entities are research objects of mathematics, which cannot be regarded as material objects. Nevertheless, there are discussions about the status of their existence. Whereas Platonism assumes its (permanent) existence as intellectual objects or universals, this permanence is denied, e.g. by intuitionism, which assumes that mathematical entities exist only at the moment of their construction._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |