Unpicking Priest's bootstraps

Meadows, Toby (2015) Unpicking Priest's bootstraps. Thought, 4 3: 181-188. doi:10.1002/tht3.172


Author Meadows, Toby
Title Unpicking Priest's bootstraps
Journal name Thought   Check publisher's open access policy
ISSN 2161-2234
Publication date 2015-09-01
Sub-type Article (original research)
DOI 10.1002/tht3.172
Open Access Status Not Open Access
Volume 4
Issue 3
Start page 181
End page 188
Total pages 8
Place of publication Chichester, West Sussex United Kingdom
Publisher Wiley-Blackwell Publishing
Language eng
Subject 1211 Philosophy
Formatted abstract
Graham Priest has argued that the fruits of classical set theory can be obtained by naive means through a puzzling piece of reasoning often known as the bootstrapping argument (Priest 2006). I will demonstrate that the bootstrapping involved is best understood as viciously circular and thus, that these fruits remain forbidden. The argument has only one rehearsal in print and it is quite subtle. This paper provides reconstruction of the argument based on Priest (2006) and attempts some fixes and alternative construals to get around some elementary problems. Despite these efforts, the argument remains unconvincing.
Keyword Philosophy of mathematics
Philosophical logic
Set theory
Foundations of mathematics
Nonclassical logic
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Health and Rehabilitation Sciences Publications
 
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Created: Thu, 16 Jun 2016, 16:51:33 EST by Anthony Yeates on behalf of School of Health & Rehabilitation Sciences