Logic would lead one to believe that "dyslogistic" is somehow related to the Greek word logos, from which the words "logic" and "logistics" are derived. In actuality, however, "dyslogistic" is a 19th-century merger of the prefix dys-, meaning "bad," and "eulogy," referring to an expression of praise. English jurist and philosopher Jeremy Bentham (1748-1832) often used "dyslogistic" in his writings as an adjective to convey dispraise or opprobrium. And even today the word is likely to be encountered in judicial and intellectual writings.
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