Comment by photonthug
Comment by photonthug 10 hours ago
The silly thing about this is that context is everything. I bet it's extremely easy to be a top-tier figure-skater in, say, a small tropical island nation? In a similar way, I very much doubt that you'd really need to be in the top 0.2% of the population to complete a phd. Do you need to be in the top 0.2% of people to compete as a contributor with absolutely everyone else in the whole world at the same time? Well yeah, but at that point the statement is so obviously true that it doesn't mean much.
You're right in a sense, but I took the context we're working in as somewhat of a given based on the title of the post. Our goal is to work, full time, as a professional pure mathematician; that naturally puts us in the labor market for pure mathematicians. We can't know that market exactly, of course, but it's far from arbitrary. We are in competition with other market participants, and we can study their properties and use that knowledge to guide our actions productively - including making the decision to exit the market if that's what makes sense to us.