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ratiocinate (v.)

"to reason, from two judgments to infer a third," 1640s, from Latin ratiocinatus, past participle of ratiocinari "to reckon, compute, calculate; to deliberate, meditate; to reason, argue, infer" (see ratiocination). "Now rare in serious use" [OED]. Related: Ratiocinant; ratiocinative; ratiocinatory.

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Definitions of ratiocinate from WordNet

ratiocinate (v.)
reason methodologically and logically;
From wordnet.princeton.edu