Unpicking Priest’s Bootstraps

Thought: A Journal of Philosophy 4 (3):181-188 (2015)
  Copy   BIBTEX

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. 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 and attempts some fixes and alternative construals to get around some elementary problems. Despite these efforts, the argument remains unconvincing

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 102,074

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Remarks on naive set theory based on lp.Hitoshi Omori - 2015 - Review of Symbolic Logic 8 (2):279-295.
Rumfitt on the logic of set theory.Øystein Linnebo - 2019 - Inquiry: An Interdisciplinary Journal of Philosophy 62 (7):826-841.
Is Sylvan's Box a Threat to Classical Logic Norms?Theodore Locke - 2012 - Florida Philosophical Review 12 (1):32-52.
The Difficulties in Using Weak Relevant Logics for Naive Set Theory.Erik Istre & Maarten McKubre-Jordens - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 365-381.
Priest and the Bishop.Sven Rosenkranz - 2006 - Pacific Philosophical Quarterly 87 (3):335–347.
The liberation argument for inconsistent mathematics.Franci Mangraviti - 2023 - Australasian Journal of Logic 29 (2):278-315.

Analytics

Added to PP
2015-08-27

Downloads
102 (#210,025)

6 months
6 (#907,516)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Toby Meadows
University of California, Irvine

Citations of this work

What If? The Exploration of an Idea.Graham Priest - 2017 - Australasian Journal of Logic 14 (1).
The Self-Effacement Gambit.Jack Woods - 2019 - Res Philosophica 96 (2):113-139.
Relative Interpretation Between Logics.Toby Meadows - 2021 - Erkenntnis 88 (8):3203-3220.
Dialetheism and the countermodel problem.Andreas Fjellstad & Ben Martin - forthcoming - Philosophy and Phenomenological Research.

Add more citations

References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 2006 - New York: Oxford University Press.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - New York: Cambridge University Press.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.
The Logic of Provability.George Boolos - 1993 - Cambridge and New York: Cambridge University Press.

View all 7 references / Add more references