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Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

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,… Click to show full 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.

Keywords: reasoning arbitrary; numbers carnapian; arbitrary natural; natural numbers; carnapian perspective

Journal Title: Journal of Philosophical Logic
Year Published: 2019

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