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A model-theoretic account of confirmation

Ever since HempePs 1946 paper on confirmation, the subject and its paradoxes have attracted many investigators. The paper attempted to come to some reasonable understanding of confirmation, specifically to list some axioms or properties satisfied by the notion. Problems arose from even the most seemingly modest axioms and properties however. Our paper attempts both to provide a clearer understanding of confirmation and to "explain away the paradoxes". Notions from model theory provide us with a very useful and flexible framework for this project. Before we embark on our model-theoretic construction, we will list here some of the axioms Hempel considered in his 1946 paper and some of the paradoxes they engender.