Synthese 198 (4):3047-3071 (2019)

Alison Duncan Kerr
University of St. Andrews
There is a strong case to be made for thinking that an obscure logic, KR, is better than classical logic and better than any relevant logic. The argument for KR over relevant logics is that KR counts disjunctive syllogism valid, and this is the biggest complaint about relevant logics. The argument for KR over classical logic depends on the normativity of logic and the paradoxes of implication. The paradoxes of implication are taken by relevant logicians to justify relevant logic, but considerations on the normativity of logic show that only some of the paradoxes of implication are genuine. KR avoids all the genuine paradoxes of implication, unlike classical logic. Overall, KR avoids the genuine paradoxes of implication and avoids the major objection to relevant logics. This combination of features provides strong reason to give KR a place in the conversation about the right logic.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1007/s11229-019-02265-y
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,811
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Truth Without Contra(di)Ction.Elia Zardini - 2011 - Review of Symbolic Logic 4 (4):498-535.

View all 42 references / Add more references

Citations of this work BETA

Deep Fried Logic.Shay Allen Logan - 2022 - Erkenntnis 87 (1):257-286.
Lambek Calculus with Conjugates.Igor Sedlár & Andrew Tedder - 2020 - Studia Logica 109 (3):447-470.

Add more citations

Similar books and articles

Universal Logic.Ross Brady - 2006 - CSLI Publications.
A New Approach to Classical Relevance.Inge De Bal & Peter Verdée - 2015 - Studia Logica 103 (5):919-954.
Relevant Implication and the Case for a Weaker Logic.Ross T. Brady - 1996 - Journal of Philosophical Logic 25 (2):151 - 183.
Implicational Paradoxes and the Meaning of Logical Constants.Francesco Paoli - 2007 - Australasian Journal of Philosophy 85 (4):553 – 579.
Formal Logic for Informal Logicians.David Sherry - 2006 - Informal Logic 26 (2):199-220.
The Systems of Relevance Logic.Ryszard Mirek - 2011 - Argument: Biannual Philosophical Journal 1 (1):87-102.


Added to PP index

Total views
28 ( #397,222 of 2,463,231 )

Recent downloads (6 months)
2 ( #299,176 of 2,463,231 )

How can I increase my downloads?


My notes