Then his disciples began arguing about which of them was the greatest.
We are just as proud as these disciples.
At least I am.
I know this because when I read that they were arguing about being greatest I naturally assume they were making their individual cases as to why they personally were the greatest.
But the text doesn't say that.
But we know that is what the text means because it is unimaginable that they were arguing by making cases as to why their fellow disciples ought to be honored as the greatest and why they personally were not worthy to be considered disciples.
When people argue about who the greatest among a group of people is, the tenor of the fight is always to gather points for the home team you represent.
People do not get into pride fights that end in giving praise and adoration to others, but only in accruing accreditation for one's self and demolishing or mutilating the applause that could be extended to others.
We are just like the disciples and I know it because I read the verses the same way the disciples lived in them: through pride and self-seeking.