To make weak; to lessen the strength of; to deprive of strength; to debilitate; to enfeeble; to enervate; as, to weaken the body or the mind; to weaken the hands of a magistrate; to weaken the force of an objection or an argument. [1913 Webster] Their hands shall be weakened from the work, that it be not done. --Neh. vi.
To reduce in quality, strength, or spirit; as, to weaken tea; to weaken any solution or decoction. [1913 Webster]
Word Netweakening adj
2 moderating by making pain or sorrow weaker
1 becoming weaker [ant: strengthening]
2 the act of reducing the strength of something [ant: strengthening]
Moby Thesaurusabatement, abridgment, alleviation, attenuation, attrition, bankruptcy, blunting, breakage, breakdown, collapse, contraction, crack-up, crippling, damage, dampening, damping, deadening, debilitation, decrease, decrement, decrescence, deduction, deflation, depreciation, depression, destruction, detriment, devitalization, devitalizing, dilapidation, dilution, diminishment, diminution, disablement, disrepair, draining, dulling, dying, dying off, effemination, encroachment, enervating, enervation, enfeeblement, enfeebling, evisceration, exhausting, exhaustion, extenuation, fade-out, fatigue, fatiguing, grueling, harm, hobbling, hurt, hurting, impairment, inanition, incapacitation, infringement, injury, inroad, languishment, lessening, letup, loss, lowering, maiming, mayhem, miniaturization, mischief, mitigation, mutilation, reduction, relaxation, ruination, ruinousness, sabotage, sagging, sapping, scaling down, scathe, sickening, simplicity, slackening, softening, spoiling, subtraction, thinning, trying
- present participle of weaken
Monotonicity of entailment is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called weakening, or sometimes thinning, and in such systems one may say that entailment is monotone just in case the rule is admissible. Logical systems with this property are occasionally called monotonic logics in order to differentiate them from non-monotonic logics.
Γ \vdash C
weakening allows one to conclude:
Γ, A \vdash C
Non-monotonic logicsIn most logics, weakening is either an inference rule or a metatheorem if the logic doesn't have an explicit rule. Notable exceptions are:
weakening in German: Monotonie (Logik)