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degeneracy (n.)

1660s, "deteriorated condition, state of being degenerate;" 1670s, "tendency to decrease in excellence of essential qualities, a downward course;" see degenerate (adj.) + abstract noun suffix -cy.

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Definitions of degeneracy from WordNet

degeneracy (n.)
the state of being degenerate in mental or moral qualities;
Synonyms: degeneration / decadence / decadency
degeneracy (n.)
moral perversion; impairment of virtue and moral principles;
moral degeneracy followed intellectual degeneration
From wordnet.princeton.edu