|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.|
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|Stalnaker I 41
Mathematics/Benacerraf/Stalnaker: (Benacerraf, 1973): Benacerraf sees a tension between the need for a plausible representation of what mathematical statements say and a representation of the way we know that such statements are true.
Suppose we demand a causal connection to things that we claim to know. Then it is not clear how this is supposed to work in the case of numbers that are acasual.
Philosophy of Mathematics 2ed: Selected Readings Cambridge 1984
Ways a World may be Oxford New York 2003