That's just how I read this:
You push at the boundary for a few years
Until one day, the boundary gives way
And, that dent you've made is called a Ph.D.
It seems to me that calling the expansion of human knowledge a Ph.D. implies that those who don't have Ph.D.s have not dented the circle.
agreed, but i don't think anyone was arguing this point, though
the contrapositive of:
PhD --> novel contribution to human knowledge
is certainly not:
!(PhD) --> !(novel contribution to human knowledge)