We want to prove that there can be two different situations, one in which all are equal and one in which they are not, which cannot be distinguished by the comparisons.
Gusto naming patunayan na may maaaring dalawang magkaibang sitwasyon, ang isa na kung saan lahat ng ay pantay-pantay at ang isa na kung saan sila ay hindi, na kung saan hindi maaaring maging bantog sa pamamagitan ng paghahambing.