I'm sure the guy was smart, but lets not overdo it.
I'm sure the guy was smart, but lets not overdo it.
“There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came to a certain theorem, and I said it is not proved and it may be difficult. von Neumann didn’t say anything but after five minutes he raised his hand. When I called on him he went to the blackboard and proceeded to write down the proof. After that I was afraid of von Neumann” — George Pólya
“von Neumann would carry on a conversation with my 3-year-old son, and the two of them would talk as equals, and I sometimes wondered if he used the same principle when he talked to the rest of us.” — Edward Teller
...One afternoon around 4:50 p.m. John von Neumann came by and saw what Fermi had on the blackboard and asked what he was doing. So Enrico told him and John von Neumann said “That’s very interesting.” He came back about 15 minutes later and gave him the answer. Fermi leaned against his doorpost and told me, “You know that man makes me feel I know no mathematics at all.” — Enrico Fermi
”You know, Herb, Johnny can do calculations in his head ten times as fast as I can. And I can do them ten times as fast as you can, so you can see how impressive Johnny is” — Enrico Fermi again
“One had the impression of a perfect instrument whose gears were machined to mesh accurately to a thousandth of an inch.” — Eugene Wigner
It goes on and on...
https://superintelligence.fandom.com/wiki/John_von_Neumann_(...
But this just shows that when you are talking about impact as opposed to intelligence, a lot of things other than IQ come into play. I am certain von neumann was much smarter than Gauss, but Gauss had an instinct for discovery that was remarkable. Newton is another example -- someone not nearly as brilliant as Von Neuman (my impression) but had an incredibly deep insight and much bigger impact. They say that Feynman's IQ was ~120, which would certainly be lower than von neuman, but he made a much bigger impact as well.
Another mathematician that reminds me of Von Neumann is Euler. He also memorized long passages and could do complicated calculations in his head quickly.
A quote on Euler from wikipedia:
“He was able to, for example, repeat the Aeneid of Virgil from beginning to end without hesitation, and for every page in the edition he could indicate which line was the first and which was the last even decades after having read it”
He famously recounted his inability to derive Heron's formula for the area of a triangle when he was a teenager (despite realizing that such a formula ought to exist via conceptual reasoning), and seems to have subsequently kept an unbalanced set of talents in the same vein.
Ordinarily that would be hyperbole...
Or maybe not.
There have probably been dozens of people in the past millennium who had the potential to develop that kind of mind, but most of them probably lived and died without the opportunity to develop their gifts, whether because of enslavement, rural poverty, or lack of access to education.