  Vector space models of word meaning all share the assumption that words
occurring in similar contexts have similar meanings. In such models, words that
are similar in their topical associations but differ in their logical force
tend to emerge as semantically close, creating well-known challenges for NLP
applications that involve logical reasoning. Modern pretrained language models,
such as BERT, RoBERTa and GPT-3 hold the promise of performing better on
logical tasks than classic static word embeddings. However, reports are mixed
about their success. In the current paper, we advance this discussion through a
systematic study of scalar adverbs, an under-explored class of words with
strong logical force. Using three different tasks, involving both naturalistic
social media data and constructed examples, we investigate the extent to which
BERT, RoBERTa, GPT-2 and GPT-3 exhibit general, human-like, knowledge of these
common words. We ask: 1) Do the models distinguish amongst the three semantic
categories of MODALITY, FREQUENCY and DEGREE? 2) Do they have implicit
representations of full scales from maximally negative to maximally positive?
3) How do word frequency and contextual factors impact model performance? We
find that despite capturing some aspects of logical meaning, the models fall
far short of human performance.
