Etymology
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inconsequence (n.)

1580s, from Late Latin inconsequentia, from Latin inconsequens "inconsequent" (see inconsequent).

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Definitions of inconsequence

inconsequence (n.)
having no important effects or influence;
inconsequence (n.)
invalid or incorrect reasoning;
Synonyms: illogicality / illogicalness / illogic
From wordnet.princeton.edu