Numbers and relations

Byeong-Uk Y.I. (1998) Numbers and relations. Erkenntnis, 49 1: 93-113.

Author Byeong-Uk Y.I.
Title Numbers and relations
Journal name Erkenntnis   Check publisher's open access policy
ISSN 0165-0106
Publication date 1998-01-01
Sub-type Article (original research)
Volume 49
Issue 1
Start page 93
End page 113
Total pages 21
Subject 1211 Philosophy
2609 Logic
Abstract In this paper, I criticize John Bigelow's account of number and present my own account that results from the criticism. In doing so, I argue that proper understanding of the nature of number requires a radical departure from the standard conception of language and reality and outline the alternative conception that underlies my account of number. I argue that Bigelow's account of number rests on an incorrect analysis of the plural constructions underlying the talk of number and propound an analysis of numerical sentences, such as "Quine and Goodman are two", that conforms to the natural understanding of the plural constructions. The analysis leads to the account of number according to which natural numbers are properties, i.e., one-place relations: the number two, for example, is the property indicated by "to be two", which, I argue, is a one-place predicate that can combine with plural terms like "Quine and Goodman".
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 05 Jul 2016, 11:32:30 EST by System User