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We explore the possibility of semantic networks as a diagnostic tool for cognitive decline by using Dutch verbal fluency data to investigate the relationship between semantic networks and cognitive health. We explore construction of these networks using the contextual word embedding models BERTje (Dutch) and XLMRoBERTa (multilingual) and static embedding model FastText. In psychology, semantic networks serve as abstract representations of the semantic memory system. Semantic verbal fluency data can be used to estimate said networks. Traditionally, this is done by counting the number of raw items produced by participants in a verbal fluency task. We used the models to connect the elicited words through semantic similarity scores, and extracted three network distance metrics in addition to the traditional approach of counting. We then tested how well these metrics predict participants' cognitive health scores on the Mini-Mental State Examination (MMSE). We find that the centroid-diameter and average distance metrics are significant predictors of cognitive health scores in our data, with the traditional scoring method not reaching significance.