We discuss some methods aiming to reconcile Borda's and Condorcet's winning intuitions in the theory of voting. We begin with a brief summary of the advantages and disadvantages of binary and positional voting rules. We then review in some detail Black's, Nanson's and  Dodgson's rules as well as the relatively recently introduced methods based on supercovering relation over the candidate set. These are evaluated in terms of some well-known choice-theoretic criteria.