Etymology
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Words related to incentive

*en 
Proto-Indo-European root meaning "in."

It forms all or part of: and; atoll; dysentery; embargo; embarrass; embryo; empire; employ; en- (1) "in; into;" en- (2) "near, at, in, on, within;" enclave; endo-; enema; engine; enoptomancy; enter; enteric; enteritis; entero-; entice; ento-; entrails; envoy; envy; episode; esoteric; imbroglio; immolate; immure; impede; impend; impetus; important; impostor; impresario; impromptu; in; in- (2) "into, in, on, upon;" inchoate; incite; increase; inculcate; incumbent; industry; indigence; inflict; ingenuous; ingest; inly; inmost; inn; innate; inner; innuendo; inoculate; insignia; instant; intaglio; inter-; interim; interior; intern; internal; intestine; intimate (adj.) "closely acquainted, very familiar;" intra-; intricate; intrinsic; intro-; introduce; introduction; introit; introspect; invert; mesentery.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit antara- "interior;" Greek en "in," eis "into," endon "within;" Latin in "in, into," intro "inward," intra "inside, within;" Old Irish in, Welsh yn, Old Church Slavonic on-, Old English in "in, into," inne "within, inside."
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*kan- 

Proto-Indo-European root meaning "to sing."

It forms all or part of: accent; cant (n.1); cantabile; cantata; cantatrice; canticle; canto; cantor; canzone; Carmen; chanson; chant; chanter; chanteuse; chanty; chanticleer; charm; concent; descant; enchant; enchantment; hen; incantation; incentive; oscine; precentor; recant.

It is the hypothetical source of/evidence for its existence is provided by: Greek eikanos "cock," literally "bird who sings (for sunrise);" Latin cantare, canere "to sing;" Old Irish caniaid "sings," Welsh canu "sing;" Old English hana "cock."

incentivize (v.)
by 1970, from incentive (adj.) + -ize. Related: Incentivized; incentivizing.
disincentive (n.)

"a source of discouragement," 1946; see dis- + incentive (n.).

incent (v.)
by 1992, U.S. government-speak, a back-formation from incentive. Related: Incented; incenting. Compare incentivize.