Synthese 99 (3):345 - 360 (1994)
I introduce a formal language called the language of informational independence (IL-language, for short) that extends an ordinary first-order language in a natural way. This language is interpreted in terms of semantical games of imperfect information. In this language, one can define two negations: (i) strong or dual negation, and (ii) weak or contradictory negation. The latter negation, unlike the former, can occur only sentence-initially. Then I argue that, to a certain extent, the two negations match the distinction existing in natural languages between sentential and constituent negation. As a corollary, I derive the fact that there are no mechanical rules for forming the contradictory negation of an English sentence.
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References found in this work BETA
On Branching Quantifiers in English.Jon Barwise - 1979 - Journal of Philosophical Logic 8 (1):47 - 80.
On the Logic of Informational Independence and its Applications.Gabriel Sandu - 1993 - Journal of Philosophical Logic 22 (1):29 - 60.
The Game of Language Studies in Game-Theoretical Semantics and its Applications.Jaakko Hintikka & Jack Kulas - 1983
How Game-Theoretical Semantics Works: Classical First-Order Logic.Michael Hand - 1988 - Erkenntnis 29 (1):77 - 93.
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