Philosophy Lexicon of Arguments

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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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Books on Amazon:
Paul Benacerraf
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.

Bena I
P. Benacerraf
Philosophy of Mathematics 2ed: Selected Readings Cambridge 1984

Sta I
R. Stalnaker
Ways a World may be Oxford New York 2003


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Ed. Martin Schulz, access date 2017-05-22