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ponder (v.)

early 14c., "to estimate the worth of, to appraise," from Old French ponderer "to weigh, poise" (14c., Modern French pondérer) and directly from Latin ponderare "ponder, consider, reflect," literally "to weigh," from pondus (genitive ponderis) "weight," from stem of pendere "to hang, cause to hang; weigh" (from PIE root *(s)pen- "to draw, stretch, spin"). Meaning "to weigh a matter mentally" is attested from late 14c. Related: Pondered; pondering; ponderation.

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Definitions of ponder from WordNet

ponder (v.)
reflect deeply on a subject;
Synonyms: chew over / think over / meditate / excogitate / contemplate / muse / reflect / mull / mull over / ruminate / speculate
From wordnet.princeton.edu