'Problem' is Greek for 'thing hurled into your path' — from 'ballein' (to throw), kin to 'ballistic.'
A matter or situation regarded as unwelcome and needing to be dealt with; a question raised for inquiry, consideration, or solution.
From Old French 'problème,' from Latin 'problēma,' from Greek 'próblēma' (πρόβλημα, anything thrown forward, a hindrance, a task), from 'probállein' (to throw forward, to put forward), from 'pro-' (forward, before) + 'bállein' (to throw). The original metaphor is vivid: a problem is something hurled into your path, an obstacle thrown before you. The same verb 'bállein' appears in 'symbol' (thrown together), 'parable' (thrown beside), 'devil' (thrown across), and 'ballistic.' Key
In ancient Greek geometry, a 'próblēma' was specifically a proposition requiring something to be constructed (draw a circle through these three points), while a 'theōrēma' was a proposition requiring something to be proved. The modern collapse of both into 'math problems' obscures a distinction the Greeks considered fundamental: building versus proving.
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