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The Collaborative International Dictionary
Pedantocracy

Pedantocracy \Ped`an*toc"ra*cy\, n. [Pedant + democracy.] The sway of pedants. [R.]
--J. S. Mill.

Douglas Harper's Etymology Dictionary
pedantocracy

1842, from pedant + -cracy. Coined (in French) by Mill in a letter to Comte.

Wiktionary
pedantocracy

n. Government by pedants.