Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

Leon Horsten; Stanislav O. Speranski

doi:10.1007/s10992-018-9490-1

Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

Leon Horsten, Stanislav O. Speranski^*

^*Corresponding author for this work

Department of Philosophy

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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.

Original language	English
Pages (from-to)	685-707
Number of pages	23
Journal	Journal of Philosophical Logic
Volume	48
Issue number	4
Early online date	25 Oct 2018
DOIs	https://doi.org/10.1007/s10992-018-9490-1
Publication status	Published - 15 Aug 2019

Keywords

Arbitrary objects
Generic structures
Individual concepts
Quantified modal logic

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10.1007/s10992-018-9490-1

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Springer Link at https://doi.org/10.1007/s10992-018-9490-1 . Please refer to any applicable terms of use of the publisher.
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abstract = "Inspired by Kit Fine{\textquoteright}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{\textquoteright}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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AU - Speranski, Stanislav O.

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N2 - 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.

AB - 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.

KW - Arbitrary objects

KW - Generic structures

KW - Individual concepts

KW - Quantified modal logic

UR - https://www.scopus.com/pages/publications/85055956089

U2 - 10.1007/s10992-018-9490-1

DO - 10.1007/s10992-018-9490-1

M3 - Article (Academic Journal)

AN - SCOPUS:85055956089

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ER -

Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

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