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 | ||||||
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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 |
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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 |
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Date: | 2014 | ||||||
Page Range: | pp. 1-27 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/16738 |
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