Notre Dame Journal of Formal Logic

A Remark on Henkin Sentences and Their Contraries

John P. Burgess


That the result of flipping quantifiers and negating what comes after, applied to branching-quantifier sentences, is not equivalent to the negation of the original has been known for as long as such sentences have been studied. It is here pointed out that this syntactic operation fails in the strongest possible sense to correspond to any operation on classes of models.

Article information

Notre Dame J. Formal Logic Volume 44, Number 3 (2003), 185-188.

First available in Project Euclid: 28 July 2004

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03C80: Logic with extra quantifiers and operators [See also 03B42, 03B44, 03B45, 03B48]

branching quantifiers Henkin sentences


Burgess, John P. A Remark on Henkin Sentences and Their Contraries. Notre Dame J. Formal Logic 44 (2003), no. 3, 185--188. doi:10.1305/ndjfl/1091030856.

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