Philosophical Review 106 (1):35-68 (1997)

Vann McGee
Massachusetts Institute of Technology
Mathematical realism is the doctrine that mathematical objects really exist, that mathematical statements are either determinately true or determinately false, and that the accepted mathematical axioms are predominantly true. A realist understanding of set theory has it that when the sentences of the language of set theory are understood in their standard meaning, each sentence has a determinate truth value, so that there is a fact of the matter whether the cardinality of the continuum is א2 or whether there are measurable cardinals, whether or not those facts are knowable by us.
Keywords Analytic Philosophy  Contemporary Philosophy  General Interest
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ISBN(s) 0031-8108
DOI phr199710611
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