why is it bad to label somebody ungifted? if i had known before i did not have what it takes to become a good mathematician, i would perhaps not have pursued that. maybe i would have saved myself a lot of trouble.
Another problem is that there's a spectrum of ability/interest being turned into a binary. For those near the threshold of the criteria, this is especially problematic.
They're still well above average IQ.
My intuition is that if someone is interested enough in a career in mathematics that they begin putting regular practice into it, then they're already likely (but not certainly) past the minimum IQ threshold.