I wish to describe an explanation, which is broadly correct, but which glosses over some potentially important details.
The nearest term I can think of is “hand-waving explanation”. Is there something more formal I could use instead?
Answer
Though not familiar with your “hand-waving explanation,” I think I know where you’re going with this. There are any number of possibilities:
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On the face of it . . .. (In other words, the explanation sounds good initially, but given a closer look, maybe “not so much!”)
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A prima facie explanation (Again, an explanation which upon closer inspection may have some flaws. It satisfies certain conditions but not necessarily all.)
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An ill-considered explanation
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A rush to judgment (This is an explanation for, say, the guilt of someone, before all the facts have been gathered, inspected, and verified.)
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An interim explanation
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An unsubstantiated explanation
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An incomplete, inadequate, superficial, surface, incomplete, or partial explanation
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An ostensible explanation, but upon closer examination . . ..
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A cursory explanation
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An explanation which at first blush seems adequate, but upon closer examination . . ..
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An unthought out explanation
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An ad hoc explanation
These should at least get you started, I hope!
Attribution
Source : Link , Question Author : DaveP , Answer Author : rhetorician