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Introduction to Higher Order Categorical Logic Commercial Appeal which have gained new prominenceIn this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda calculi, a formulation of higher order logic, and cartesian closed categories, are essentially the same. Part II demonstrates that another formulation of higher order logic, (intuitionistic) type theories, is closely related to topos theory. Part III is devoted to