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Two negatives are equivalent to an affirmative: -

a. Many compounds or phrases of which non is the first part express an indefinite affirmative: -

b. Two negatives of which the second is non (belonging to the predicate) express a universal affirmative: -

c. A statement is often made emphatic by denying its contrary (Litotes, §641): -

NOTE: Compare non nullus, non nemo, etc., in a above.