Assert positively is an expression that means to state something confidently and with conviction. The crossword solutions for this term are AVER (4 letters), AVOUCH (6 letters), and AVOW (4 letters). AVER is a verb meaning to declare or affirm as true, while AVOUCH is a verb meaning to declare or assert positively, and AVOW is a verb meaning to declare openly and firmly. All three words can be used to express the idea of asserting positively.