An Arbitrary Argumentation

It took all but a short walk for coffee one afternoon last week to the theory behind it.  In the like of the rich-poor dichotomy, I was finally enlightened about the Matthew effect.  Coined by sociologist Robert K Merton as early as 1968, this concept of accumulated advantage is no stranger to any society.  It is, then, of little wonder how it is becoming increasingly difficult to enrol a child in a 'branded' school without any form of affiliation even if one is within the stipulated 1km of the school.  While the supposition of receiving a so-called better education in a brand name school is questionable, the hypothesis of how advantage begets further advantage as the proliferator of a widening socio-economic gap is less improbable.

But at the end of the day, I'm guessing any argumentation is arbitrary if success is assessed based solely on numbers.  Right?