In a manner opposed to democratic principles, equal rights, or popular participation in government.
From antidemocratical + -ly (adverb suffix). This word is doubly archaic—first because -ical is old-fashioned, and second because -ly adds another layer of affixation.
This word is a linguistic fossil from Victorian-era political writing—you can trace the evolution: democratic → democratical → antidemocratical → antidemocratically, each layer adding specificity but also complexity, until modern English just simplified it all to 'antidemocratic.'
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