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

Noûs 42 (4):529-572 (2008)
Abstract
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.
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DOI 10.1111/j.1468-0068.2008.00684.x
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References found in this work BETA
Convention: A Philosophical Study.David Lewis - 1969 - Harvard University Press.
Philosophical Papers.David K. Lewis - 1983 - Oxford University Press.

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Citations of this work BETA
Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
The Meaning of Imperatives.Nate Charlow - 2014 - Philosophy Compass 9 (8):540-555.
In Defense of Imperative Inference.Peter B. M. Vranas - 2010 - Journal of Philosophical Logic 39 (1):59 - 71.
Conditional Intentions.Luca Ferrero - 2009 - Noûs 43 (4):700 - 741.
Command and Consequence.Josh Parsons - 2013 - Philosophical Studies 164 (1):61-92.

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