What If? The Exploration of an Idea

Australasian Journal of Logic 14 (1) (2017)
  Copy   BIBTEX

Abstract

A crucial question here is what, exactly, the conditional in the naive truth/set comprehension principles is. In 'Logic of Paradox', I outlined two options. One is to take it to be the material conditional of the extensional paraconsistent logic LP. Call this "Strategy 1". LP is a relatively weak logic, however. In particular, the material conditional does not detach. The other strategy is to take it to be some detachable conditional. Call this "Strategy 2". The aim of the present essay is to investigate Stragey 1. It is not to advocate it. The work is simply an extended exploration of the strategy, its strengths, its weaknesses, and the various dierent ways in which it may be implemented. In the first part of the paper I will set up the appropriate background details. In the second, I will look at the strategy as it applies to the semantic paradoxes. In the third I will look at how it applies to the set-theoretic paradoxes.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

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

Naive Modus Ponens and Failure of Transitivity.Andreas Fjellstad - 2016 - Journal of Philosophical Logic 45 (1):65-72.
Promises and Material Conditionals.Mark T. Nelson - 1993 - Teaching Philosophy 16 (2):155-156.
The Ramsey test and conditional semantics.Frank Döring - 1997 - Journal of Philosophical Logic 26 (4):359-376.
What is a Dispositional Masker?S. Choi - 2011 - Mind 120 (480):1159-1171.
A defence of the conditional analysis of phenomenal concepts.Jussi Haukioja - 2008 - Philosophical Studies 139 (1):145 - 151.
Conditional Intentions.Luca Ferrero - 2009 - Noûs 43 (4):700 - 741.
The Logic of Conditional Assertions.Daniel Harry Cohen - 1983 - Dissertation, Indiana University
A New Conditional for Naive Truth Theory.Andrew Bacon - 2013 - Notre Dame Journal of Formal Logic 54 (1):87-104.

Analytics

Added to PP
2017-04-11

Downloads
62 (#234,541)

6 months
12 (#122,866)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Graham Priest
CUNY Graduate Center

References found in this work

Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.
Spandrels of truth.J. C. Beall - 2009 - New York: Oxford University Press.

View all 36 references / Add more references