Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

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2019
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Speranski, Stanislav O.
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Journal of Philosophical Logic ; 48 (2019), 4. - pp. 685-707. - Springer. - ISSN 0022-3611. - eISSN 1573-0433
Abstract
Inspired by Kit Fine’s theory of arbitrary objects, we explore some ways in which the generic structure of the natural numbers can be presented. Following a suggestion of Saul Kripke’s, we discuss how basic facts and questions about this generic structure can be expressed in the framework of Carnapian quantified modal logic.
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100 Philosophy
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ISO 690HORSTEN, Leon, Stanislav O. SPERANSKI, 2019. Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective. In: Journal of Philosophical Logic. Springer. 48(4), pp. 685-707. ISSN 0022-3611. eISSN 1573-0433. Available under: doi: 10.1007/s10992-018-9490-1
BibTex
@article{Horsten2019-08Reaso-48650,
  year={2019},
  doi={10.1007/s10992-018-9490-1},
  title={Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective},
  number={4},
  volume={48},
  issn={0022-3611},
  journal={Journal of Philosophical Logic},
  pages={685--707},
  author={Horsten, Leon and Speranski, Stanislav O.}
}
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