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The Applications of Plurals

The following is a selection of texts on possible applications of English plural forms in philosophy.

Bibliography entries relating to this topic:

• John P. Burgess, "E Pluribus Unum: Plural Logic and Set Theory", Philosophia Mathematica 12 (2004), pp. 193--221
• Roy T Cook, "Aristotelian logic, axioms, and abstraction", Philosophia Mathematica 11(3) (2003), pp. 195-202
• A. P. Hazen, "Relations in Monadic Third-Order Logic", Journal of Philosophical Logic 26 (1997), pp. 619-628
• Henry Laycock, Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity, (Oxford: Oxford University Press: 2006)
• David Lewis, Parts of Classes, (Oxford: Basil Blackwell: 1991)
• Vann McGee, "How We Learn Mathematical Language", Philosophical Review 106 (1997), pp. 35-68
• Vann McGee and Agustin Rayo, "A puzzle about de rebus belief", Analysis 60 (2000), pp. 297-299
• David Nicolas, "Mass nouns and plural logic", Linguistics and Philosophy (forthcoming) (2008), pp.
• Agustin Rayo and Gabriel Uzquiano, "Toward a theory of second-order consequence", Notre Dame Journal of Formal Logic 40 (1999), pp. 315-325
• Gabriel Uzquiano, "Plural Quantification and Classes", Philosophia Mathematica 3 (2003), pp. 67-81
• Byeong-Uk Yi, "Is Two a Property?", Journal of Philosophy 96 (1999), pp. 163-190

Bibliography entries relating to this topic in BibTeX format:

@Article{BurgessEPluribusUnum,
  author = {John P. Burgess},
  title = {E Pluribus Unum: Plural Logic and Set Theory},
  journal = {Philosophia Mathematica},
  year = {2004},
  volume = {12},
  pages = {193--221},
}

@Article{CookAristotelianLogic,
  author = {Roy T Cook},
  title = {Aristotelian logic, axioms, and abstraction},
  journal = {Philosophia Mathematica},
  year = {2003},
  volume = {11(3)},
  pages = {195--202},
}

@Article{HazenRelationsMonadicThirdOrder,
  author = {A. P. Hazen},
  title = {Relations in Monadic Third-Order Logic},
  journal = {Journal of Philosophical Logic},
  year = {1997},
  volume = {26},
  pages = {619--628},
}

@Book{LaycockWordsWithoutObjects,
  author = {Henry Laycock},
  title = {Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity},
  booktitle = {Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity},
  year = {2006},
  publisher = {Oxford University Press},
  address = {Oxford},
}

@Book{LewisPartsOfClasses,
  author = {David Lewis},
  title = {Parts of Classes},
  booktitle = {Parts of Classes},
  year = {1991},
  publisher = {Basil Blackwell},
  address = {Oxford},
}

@Article{McGeeHowWeLearn,
  author = {Vann McGee},
  title = {How We Learn Mathematical Language},
  journal = {Philosophical Review},
  year = {1997},
  volume = {106},
  pages = {35--68},
}

@Article{McGeeRayoAPuzzleAboutDeRebusBelief,
  author = {Vann McGee and Agustin Rayo},
  title = {A puzzle about de rebus belief},
  journal = {Analysis},
  year = {2000},
  volume = {60},
  number = {4},
  pages = {297--299},
}

@Article{NicolasMassNounsAndPlural,
  author = {David Nicolas},
  title = {Mass nouns and plural logic},
  journal = {Linguistics and Philosophy},
  year = {2008},
  volume = {(forthcoming)},
  COMPLAINT={This item has no Pagerange field. Edit it in TWiki and add one.},
}

@Article{RayoUzquianoSecondOrderConsequence,
  author = {Agustin Rayo and Gabriel Uzquiano},
  title = {Toward a theory of second-order consequence},
  journal = {Notre Dame Journal of Formal Logic},
  year = {1999},
  volume = {40},
  pages = {315--325},
}

@Article{UzquianoPluralQuantificationClasses,
  author = {Gabriel Uzquiano},
  title = {Plural Quantification and Classes},
  journal = {Philosophia Mathematica},
  year = {2003},
  volume = {3},
  pages = {67--81},
}

@Article{YiIsTwoProperty,
  author = {Byeong-Uk Yi},
  title = {Is Two a Property?},
  journal = {Journal of Philosophy},
  year = {1999},
  volume = {96},
  pages = {163--190},
}

Number of topics: 11

-- AgustinRayo - 18 Jun 2003

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