The first computational Information Retrieval projects were straightforward encodings of card catalogues and look-up tables that had existed before. Soon after, these electronic indices evolved into more advanced structures. Primary among those are the Inverted Index (II) and the Vector Model (VM). These new structures expanded the domain of indexing science to large sets of texts heterogeneous with respect to content and length. This thesis presents an overview and critique of these techniques. It is found that these word driven methods are limited because they deal statistically with linguistic phenomena that resist that type of analysis. It goes on to suggest that semantic analysis of the target documents is needed to go beyond ...