Résume | Probability quantifiers were studied by Keisler and Hoover in the 1980's,following earlier work of Carnap, Gaifmann, Krauss-Scott. I will survey some basic results on pure probability logic, where only stochastic quantifiers are allowed. The interpretative powers of this logic are drastically more limited than that of first-order logic. If the language consists of binary relations, one can interpret nothing more than spatial location (in a sense that will be explained; essentially on the Kim-Pillay space.) Subtleties increase with higher-order relations.
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