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The Epistemic Significance of Numerals

Heylen, Jan (2014) The Epistemic Significance of Numerals. Synthese. pp. 1-27.

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Abstract

The central topic of this article is de re knowledge about natural numbers and its relation with names for numbers. It is held by several prominent philosophers that numerals are eligible for existential quantification in epistemic contexts, whereas other names for natural numbers are not. In other words, numerals are intimately linked with de re knowledge about natural numbers, whereas the other names for natural numbers are not. In this article I am looking for an explanation of this phenomenon. It is argued that the standard induction scheme plays a key role.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Heylen, Janjan.heylen@kuleuven.be0000-0002-2809-3320
Keywords: Peano numerals; De re knowledge about numbers; Epistemic arithmetic; Modal-epistemic arithmetic; Arithmetical induction; Explanation
Subjects: Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Logic
Depositing User: Dr. Jan Heylen
Date Deposited: 20 Dec 2019 17:29
Last Modified: 20 Dec 2019 17:29
Item ID: 16738
Journal or Publication Title: Synthese
DOI or Unique Handle: 10.1007/s11229-014-0542-y
Subjects: Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Logic
Date: 2014
Page Range: pp. 1-27
URI: http://philsci-archive.pitt.edu/id/eprint/16738

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