1873, from hospital + -ize. "Freq[uently] commented on as an unhappy formation" [OED]. As verbs, hospitate is recorded from 1620s as "to lodge or entertain, receive with hospitality" but is rare; hospitize is from 1895. Related: hospitalized; hospitalizing.
Mother had to be hospitalized because her blood pressure was too high
hospice
hospitable
hospital
hospitality
hospitalization
hospitalize
hospitaller
hospodar
hoss
host
hosta
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