The main purpose is to identify a family of arguments that share a structure that resembles to the principle of duality of projective geometry. I call this family dual arguments. To accomplish this goal, I take four important arguments in analytic philosophy and I identify the structure that they share. These arguments are: (i) the new riddle of induction from Goodman; (ii) the indeterminacy of reference from Putnam; (iii) the indeterminacy of translation from Quine; (iii) the rule-following paradox from Wittgenstein.