Concept as Abstraction. A hindrance in developing intelligence? (Addenda 2/7/16)

I used to teach the calculus in a private high school where I was headmaster and would occasionally play a game called "WFF'N Proof" with my students. They had to roll a set of six dice that had sides marked with the following: p, q, r, C, A, K, E or N. After a throw they had to see if they could construct a WFF, a well-formed-formula, by arranging the outcomes in various combinations. A WFF was defined as any of the following: p, q or r. (Addendum 1, 2/7/16: Note that there is no indication of p, q, or r having common features.) Also WFF's were combinations of the letters C, A, K or E followed by two WFF's. Or N followed by a single WFF. So beginning with p, q, or r, one could possibly construct the new WFF's, Np or Nq or Nr. Continuing in this vein, one might construct Apq, or ANpp, or CAqKqrr, … (Addendum 2, 2/7/16: Note also that no two complex WFF's need have common features, e.g.