Synonyms for Blase (same or very similar meaning)
WordNet sense 1 (very sophisticated especially because of surfeit; versed in the ways of the world):
worldly
WordNet sense 2 (having or appealing to those having worldly knowledge and refinement and savoir-faire):
sophisticated
WordNet sense 3 (uninterested because of frequent exposure or indulgence):
bored
WordNet sense 4 (not having or showing interest):
uninterested
WordNet sense 5 (lacking in interest or care or feeling):
unconcerned
From the ODE community, based on WordNet
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