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Definition of detachment : 1. Abstraction from worldly objects; renunciation.
2. That which is detached; especially, a body of troops or part of a fleet sent from the main body on special service.
3. The act of detaching or separating, or the state of being detached.

Synonyms:

withdrawal, justice, nonpartisanship, fallback, abstracted, disseverance, evenhandedness, insulant, fairness, severance, corps, command, pulling out, concern, contingent, insulation, disjuncture, fair, inattentive, drug withdrawal, near, vacantly, in a dream, justness, impartialness, backdown, neutralism, neglectful, disunion, divorcement, advance guard, onanism, disseverment, absent, equity, spaced out, legal separation, attitude, coitus interruptus, include, climb-down, organization, fair-mindedness, uncoupling, cavalry, secession, insularism, interval, unit, patrol, equitableness, distance, insularity, pullout, in a world of your own, distant, insulating material, parting, assemble, preoccupied, withdrawal method

disinterest, impartiality

breach, segregation, dissociation, irrelevance, extraneousness, foreignness, separation, other, inapplicability, remoteness, alienation, difference, disjunction

apathy, befuddlement, lack of interest, disregardfulness, disregard, dreaminess, absent-mindedness, heedlessness, inadvertence, obliviousness, unconsciousness, inattention, disinterestedness, negligence, incuriosity, distraction, thoughtlessness, carelessness, indifference, lapse, oversight, preoccupation, unconcern, inobservance, absence, forgetfulness, aloofness

disbursement, diffraction, dissolution, dispersal, divergence, distribution, refraction, evanescence, diffusion, dislocation, evaporation, scattering, breakup, dispersion, radiation

laxity, halfheartedness, lukewarmness, perfunctoriness, unwillingness, coldness

incuriousness, dispassionateness, insouciance

elimination, misanthropy, expatriation, aloneness, disbarment, extradition, captivity, excommunication, ejection, extirpation, reclusion, exclusion, removal, ostracism, apartheid, isolation, eradication, loneliness, anonymity, standoffishness, solitude, rejection, xenophobia, exile, confinement, banishment, deportation, seclusion

hardheartedness, insensitivity, callousness, passionlessness, passivity, nonchalance, emotionlessness, insensitiveness, stoniness, cold-bloodedness, hardness, numbness, ruthlessness, dispassion, objectiveness, toughness, coolness, bluntness, heartlessness

coterie, herd, force, detail, division, troop, posse, fellowship, cell, retinue, litter, flock, fleet, bunch, collection, wing, band, complement, battalion, crowd, fraternity, group, sect, team, caucus, society, crew, union, coalition, assemblage, outfit, party, pack, junta, club, school, circle, regiment, nest, platoon, hive, phalanx, army, set, string, company, gang, tribe, covey, league, faction, body, ring, staff, host, cadre, aggregation, brigade, drove, mob, bevy, troupe, cabal, clique, clan, assembly, squad, colony

disengagement, split, fissure, dissection, partition, disarticulation, amputation, disunity, disassembly, bisection, divorce, cleavage, disassociation, break, part, rent, slice, cut, incision, disintegration, disconnection

laxness, incoherence, looseness, non-cohesiveness, fuzziness, inconsistence, disjointedness, brokenness

impassiveness, composedness, staidness, placidity, serenity, reservation, easygoingness, self-composedness, neutrality, calmness, tranquility

inadmissibility, impertinence, inappropriateness, outlandishness, strangeness, disaffiliation

objectivity, periphery, surface, outside, exterior

Usage examples:

• Rosamund smiled with complete detachment. - "The Lion's Share", E. Arnold Bennett.
• " That is the commander of the Confederate detachment who came to our aid. - "My Lady of the North", Randall Parrish.
• He was smoking a short wooden pipe, with an air of detachment. - "The Gem Collector", P. G. Wodehouse.