Abstract
A type \({\langle{1^2, 1}\rangle}\) quantifier F is symmetric iff F(X, X)(Y) = F(Y, Y)(X). It is shown that quantifiers denoted by irreducible binary determiners in natural languages are both conservative and symmetric and not only conservative.
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Zuber, R. A semantic constraint on binary determiners. Linguist and Philos 32, 95–114 (2009). https://doi.org/10.1007/s10988-009-9053-6
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DOI: https://doi.org/10.1007/s10988-009-9053-6