16 June 2011


A. "Wojtyla proposed two corrections of the speculative moral theology of Aquinas. First the teleological axis of Aquinas is to be replaced by a deontological one. The ultimate explanation of morality on the basis of the final end is to be replaced by an explanation on the basis of value and norm. We are concerned today not only with a presentation of the ultimate end of moral behavior but with the ultimate justification of the moral norm. And second, with the appearance of the philosophy of consciousness and the development its specific tools of cognition — the phenomenological method — new conditions have appeared that allow for the enrichment of the concept of the human person with the subjective aspect of consciousness that has been flattened out in metaphysical naturalism."  —  Fr. Wojciech Giertych, O.P.,  Theologian of the Papal Household (2005 — Present), from a lecture on nature and grace.

B.  "...and the wisdom of their wise men shall perish, and the discernment of their discerning men shall be hidden."

C.  Consider a following set of triplets, defined as follows:  
  1. (0,0,0) is in S
  2. For all triplets (a,b,c), if by subtracting a positive integer from any one column you can transform (a,b,c) into something in S, then (a,b,c) is not in S.
  3. Triplets containing negative elements are not in S.
Provide a general strategy for determining whether or not a triplet is in S.