transfinitely adverb2 •In a manner that requires a transfinite number of steps.After we have performed the deletion operation infinitely many times, we can look at what is left and perform the deletion operation on that, and thereby continue the process transfinitely. — 2003 •Of transfinite degree.The concern was voiced that Zermelo assumed transfinitely many successive choices, where one choice depends upon another, and that this was unacceptable. — 2004
