“Answerless questions can destroy. Move on.”
Every Day
Variant: Answerless questions can destroy you.
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David Levithan 447
American author and editor 1972Related quotes

“The only interesting answers are those which destroy the questions.”

Song lyrics, Lionheart (1978)

“I like the word fuck. Fucking deal with it and move on to the first fucking question you have.”
Interview. Citation needed.
Section 1.10 <!-- p. 30 -->
The Crosswicks Journal, A Circle of Quiet (1972)
Context: Here we are living in a world of "identity crises," and most of us have no idea what an identity is.
Half the problem is that an identity is something which must be understood intuitively, rather than in terms of provable fact. An infinite question is often destroyed by finite answers. To define everything is to annihilate much that gives us laughter and joy.

Dijkstra (1984) The threats to computing science http://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/EWD898.html (EWD898).
1980s