Conditional Quantification, or Poor Man's Probability Michiel van Lambalgen Abstract: The paper introduces a first order logic of incomplete information, based on the idea that this can be achieved by an appropriate formalisation of probabilistic conditional expectation. We show that conditional expectation acts as a generalised quantifier, and investigate various ways of conditioning, thus producing resource-bounded logics. Keyword(s): probability, granularity, generalised quantifiers, conditional expectation