derangements

States of madness

Derangements is the plural of derangement—instances of disordered or disturbed states.

Mental derangement is madness or severe confusion: The isolation led to derangements that made him unfit for trial.

More broadly, derangement describes any disruption of normal function or arrangement: derangements of the digestive system, derangements of the schedule.

In mathematics, a derangement is a permutation where no element remains in its original position.

disorder

disarray

Lack of order

disruptionForceful interruption of process
disturbanceDisruption of order
confusionMental disorientation or bewilderment

disorganization · chaos · upheaval · turmoil · disintegration · dysfunction · imbalance · irregularity · unsettling · destabilization

mental

psychosis

Severe reality detachment

delusionStubbornly held false belief
maniaIntense, consuming obsession
dementiaChronic cognitive impairment

paranoia · hallucination · dissociation · instability · disorientation · confusion · obsession · dysfunction · breakdown · disturbance

mathematical

permutation

Arrangement in specific order

transpositionSwapping positions of elements
combinatoricsMathematics of discrete enumeration
factorialDescending multiplication of integers

cycle · inversion · enumeration · parity · fixed-point · counting · sequence · discrete · ordering · shuffling

displacement

dislocation

Forced out of position

misalignmentImproper positioning relative to reference
repositioningMoving to new spot
shiftingChanging position or form

dislodgment · uprooting · transposition · disturbance · misplacement · disordering · unsettling · removal · relocation

derangements

disarray

psychosis

permutation

dislocation

derangements

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