Consider the ionisations of both strong and weak acids. A strong acid, by definition will completely ionise, and a weak acid will establish an equilibrium and partially ionise. The strong acid, even whilst more dilute than the concentrated weak acid, will still ionise to produce more H+ ions, or a larger concentration if you will, which, again by definition is how pH is quantised (-log[H+]), larger concentration of H+, lower pH, more acidic, coolio.