The Logic of Conditional Negation

Notre Dame Journal of Formal Logic 49 (3):245-260 (2008)
It is argued that the "inner" negation $\mathord{\sim}$ familiar from 3-valued logic can be interpreted as a form of "conditional" negation: $\mathord{\sim}$ is read '$A$ is false if it has a truth value'. It is argued that this reading squares well with a particular 3-valued interpretation of a conditional that in the literature has been seen as a serious candidate for capturing the truth conditions of the natural language indicative conditional (e.g., "If Jim went to the party he had a good time"). It is shown that the logic induced by the semantics shares many familiar properties with classical negation, but is orthogonal to both intuitionistic and classical negation: it differs from both in validating the inference from $A \rightarrow \nega B$ to $\nega(A\rightarrow B)$ to
Keywords three-valued logic   inner negation   outer negation   conditionals
Categories (categorize this paper)
DOI 10.1215/00294527-2008-010
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 24,422
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

No references found.

Add more references

Citations of this work BETA
Andreas Kapsner (2012). Strong Connexivity. Thought: A Journal of Philosophy 1 (2):141-145.
Vít Punčochář (2015). Weak Negation in Inquisitive Semantics. Journal of Logic, Language and Information 24 (3):323-355.

Add more citations

Similar books and articles
Stephen Read (2000). Harmony and Autonomy in Classical Logic. Journal of Philosophical Logic 29 (2):123-154.
Peter Milne (1997). Bruno de Finetti and the Logic of Conditional Events. British Journal for the Philosophy of Science 48 (2):195-232.

Monthly downloads

Added to index


Total downloads

37 ( #130,095 of 1,924,874 )

Recent downloads (6 months)

1 ( #417,923 of 1,924,874 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.