Etymology
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compute (v.)

1630s, "determine by calculation," from French computer (16c.), from Latin computare "to count, sum up, reckon together," from com "with, together" (see com-) + putare "to reckon," originally "to prune," from PIE root *pau- (2) "to cut, strike, stamp." A doublet of count (v.). Related: Computed; computing.

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amputate (v.)

1630s, "to cut off a limb," originally in English both of plants and persons; a back-formation from amputation or else from Latin amputatus, past participle of amputare "to cut off, lop off; cut around, to prune," from am(bi)- "around" (from PIE root *ambhi- "around") + putare "to prune, trim" (from PIE root *pau- (2) "to cut, strike, stamp"). Related: Amputated; amputating.

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impute (v.)

early 15c., from Old French imputer, emputer (14c.) and directly from Latin imputare "to reckon, make account of, charge, ascribe," from assimilated form of in- "in, into" (from PIE root *en "in") + putare "to trim, prune; reckon, clear up, settle (an account)," from PIE *puto- "cut, struck," suffixed form of root *pau- (2) "to cut, strike, stamp." Related: Imputed; imputing.

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amputation (n.)

1610s, "a cutting off of tree branches, a pruning," also "operation of cutting off a limb, etc., of a body," from French amputation or directly from Latin amputationem (nominative amputatio), noun of action from past-participle stem of amputare "to cut off, lop off; cut around, to prune," from am(bi)- "around" (from PIE root *ambhi- "around") + putare "to prune, trim" (from PIE root *pau- (2) "to cut, strike, stamp").

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computation (n.)

c. 1400, "act, process, or method of arithmetical calculation," from Latin computationem (nominative computatio), noun of action from past participle stem of computare "to sum up, reckon, compute," from com "with, together" (see com-) + putare "to reckon," originally "to prune," from PIE root *pau- (2) "to cut, strike, stamp." From 1713 as "a result of computation, amount reckoned."

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repute (v.)

late 14c., reputen, "believe (that something is so); c. 1400, "to attribute;" early 15c., "deem, consider, regard," from Old French reputer (late 13c.) and directly from Latin reputare "to count over, reckon; think over," from re-, here perhaps "repeatedly" (see re-), + putare "to judge, suppose, believe, suspect," originally "to clean, trim, prune" (from PIE root *pau- (2) "to cut, strike, stamp"). Related: Reputed; reputing.

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putative (adj.)

"supposed, reputed, commonly thought of or deemed," early 15c., from Late Latin putativus "supposed," from putat-, past-participle stem of Latin putare "to judge, suppose, believe, suspect," originally "to clean, trim, prune" (from PIE root *pau- (2) "to cut, strike, stamp"). At first especially in putative marriage, one which, though legally invalid due to an impediment, was contracted in good faith by at least one party. Related: Putatively.

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reputation (n.)

mid-14c., reputacioun, "credit, good reputation, esteem;" late 14c. in the general sense of "opinion, estimation," good or bad; from Old French reputation, reputacion, and directly from Latin reputationem (nominative reputatio) "a reckoning, consideration, a thinking over," noun of action from past-participle stem of reputare "reflect upon, reckon, count over."

This is from re-, here perhaps "repeatedly" (see re-), + putare "to judge, suppose, believe, suspect," originally "to clean, trim, prune" (from PIE root *pau- (2) "to cut, strike, stamp").

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depute (v.)

mid-14c., deputen, "to appoint, assign as a substitute or agent," from Old French deputer (14c.), from Late Latin deputare "destine, allot," in classical Latin "to esteem, consider, consider as," literally "to cut off, prune," from de- "away" (see de-) + putare "to think, count, consider," literally "to cut, prune," from PIE root *pau- (2) "to cut, strike, stamp." Meaning "assign to a deputy" is from early 15c. Related: Deputed; deputing.

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*pau- (2)

Proto-Indo-European root meaning "to cut, strike, stamp."

It forms all or part of: account; amputate; amputation; anapest; berate; compute; count (v.); depute; deputy; dispute; impute; pave; pavement; pit (n.1) "hole, cavity;" putative; rate (v.1) "to scold;" reputation; repute.

It is the hypothetical source of/evidence for its existence is provided by: Latin pavire "to beat, ram, tread down," putare "to prune;" Greek paiein "to strike;" Lithuanian pjauti "to cut," pjūklas "saw."

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