Because higher level cognitive processes generally involve the use of world knowledge, computational models of these processes require the implementation of a knowledge base. This article identifies and discusses 4 strategies for dealing with world knowledge in computational models: disregarding world knowledge, ad hoc selection, extraction from text corpora, and implementation of all knowledge about a simplified microworld. Each of these strategies is illustrated by a detailed discussion of a model of discourse comprehension. It is argued that seemingly successful modeling results are uninformative if knowledge is implemented ad hoc or not at all, that knowledge extracted from large text corpora is not appropriate for discourse comprehension, and that a suitable implementation can be obtained by applying the microworld strategy.