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  1. Modality and ontology.Stewart Shapiro - 1993 - Mind 102 (407):455-481.
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  • Is mathematical knowledge just logical knowledge?Hartry Field - 1984 - Philosophical Review 93 (4):509-552.
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  • Nominalistic metalogic.Ken Akiba - 1998 - Journal of Philosophical Logic 27 (1):35-47.
    This paper offers a novel method for nominalizing metalogic without transcending first-order reasoning about physical tokens (inscriptions, etc.) of proofs. A kind of double-negation scheme is presented which helps construct, for any platonistic statement in metalogic, a nominalistic statement which has the same assertability condition as the former. For instance, to the platonistic statement "there is a (platonistic) proof of A in deductive system D" corresponds the nominalistic statement "there is no (metalogical) proof token in (possibly informal) set theory for (...)
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  • Metalogic and modality.Hartry Field - 1991 - Philosophical Studies 62 (1):1 - 22.
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