New foundations for imperative logic I: Logical connectives, consistency, and quantifiers

Noûs 42 (4):529-572 (2008)
Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, I argue. "If you love me, kiss me", a conditional imperative, mixes a declarative antecedent ("you love me") with an imperative consequent ("kiss me"); it is satisfied if you love and kiss me, violated if you love but don't kiss me, and avoided if you don't love me. So we need a logic of three -valued imperatives which mixes declaratives with imperatives. I develop such a logic.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1111/j.1468-0068.2008.00684.x
 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 Peter B. M. Vranas, New foundations for imperative logic I: Logical connectives, consistency, and quantifiers
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

View all 229 references / Add more references

Citations of this work BETA
Nate Charlow (2014). Logic and Semantics for Imperatives. Journal of Philosophical Logic 43 (4):617-664.
Peter B. M. Vranas (2010). In Defense of Imperative Inference. Journal of Philosophical Logic 39 (1):59 - 71.
Josh Parsons (2013). Command and Consequence. Philosophical Studies 164 (1):61-92.

View all 7 citations / Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

181 ( #7,908 of 1,725,417 )

Recent downloads (6 months)

113 ( #4,612 of 1,725,417 )

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.