966 karma · joined August 19, 2020
https://arxiv.org/abs/2105.00242
https://link.springer.com/article/10.1007/s10701-021-00474-5
https://arxiv.org/abs/2105.13996
Likewise, for your second claim I think you'll find von Neumann said that the collapse of the wavefunction can be placed anywhere in a measurement chain, from the first measuring device to the observer's conscious perception of the measurement result. The stronger claims about human consciousness specifically causing the collapse of wave functions come from London and Bauer's book "The Theory of Observation in Quantum Mechanics" and Wigner's "Remarks on the Mind-Body Question". Again, this viewpoint is reflected in the literature too:
https://link.springer.com/chapter/10.1007/1-4020-4040-7_11
https://direct.mit.edu/posc/article-abstract/18/4/480/15281/...
https://journals.openedition.org/etudes-benthamiennes/7901?l...
Freeman Dyson also commented on this "Johnny’s unique gift as a mathematician was to transform problems in all areas of mathematics into problems of logic. He was able to see intuitively the logical essence of problems and then to use the simple rules of logic to solve the problems" - https://www.ams.org/notices/201302/rnoti-p154.pdf
[0]: https://news.ycombinator.com/item?id=26938461
[1]: https://old.reddit.com/r/math/comments/srwvx9/the_myth_of_im...
The general theme of the article is too many choices in shopping, however this connects with the general psychological concept of Overchoice[0][1] whereas it can be more difficult to make a decision when you have many different choices and very little information to use to pick between them.
From the shopping angle I think this is relevant to modern times due to the supply chain issues and questioning on do we need a lot of the crap available to buy.
On the overchoice angle I think you can connect it with many things, a couple that come to mind is the increasing homogenisation of world culture, particularly in the western direction, and people becoming lost on the internet because there is so to speak too much there and no way of knowing what is good to pay attention to and what is not (there was a thread on this recently here).
I hope this may provide some stimulating discussion.
[0]: https://en.wikipedia.org/wiki/Overchoice [1]: https://en.wikipedia.org/wiki/The_Paradox_of_Choice
The gist of what he said was that while he admired von Neumann greatly, particularly for his incredible speed and clarity of understanding, sometimes he felt a greater respect and closeness for Lefschetz, who lost both of his hands in an industrial accident and despite saying that Lefschetz's style of thinking was 'incredibly confused' in the sense he [Lefschetz] didn't have a full understanding of what he himself [Lefschetz] was thinking, he wanted to get to know him more. More evidence comes from a quote of J. Barkley Rosser which goes as follows [1]:
"If Church said it's obvious, then everybody saw it a half hour ago. If Weyl says it's obvious, von Neumann can prove it. If Lefschetz says it's obvious, it's false."
He also notes unlike Lefschetz von Neumann was not considered by some mathematicians to be a great mathematician because there wasn't one big thing or field that he became the best in the world at or contributed the most too, noting that in mathematics he would likely be best remembered for his work in rings of operators (now known as von Neumann algebras). This lines up with several other stories I've read in math history where many considered much of von Neumann's work past the 1940s (where he was working primarily in applied mathematics and other applied fields) a waste of his talent.
https://old.reddit.com/r/todayilearned/comments/rqulik/til_t...
"Military and Security Developments Involving the People’s Republic of China - A Report to Congress Pursuant to the National Defense Authorization Act for Fiscal Year 2000"
https://media.defense.gov/2021/Nov/03/2002885874/-1/-1/0/202...
As many other commentators have noted there are lots of problems in academia to do with funding and how ideas are spread, etc, however these problems seem to be fundamentally economic or political in nature, so just throwing more bodies/scientists at the problem will not resolve them, therefore there must be systematic change from the economic/political sides to improve the situation.
Another thing that pops into mind is in regards to low hanging fruit. An obvious solution to why progress may be waning in fields where computation is not important is that all the easy work has already been done (see Dirac's quote about 2nd rate physicists doing 1st rate work in the late 1920s with QM) and thus in order for there to be progress
1) students must have significantly more background knowledge as they need to know more about what does or doesn't work
2) creative ideas should not be shunned
1) imo is already a bit of a problem and I guess at one point in the future there may be issues once humans reach limits to how much their can learn in a certain time but for now this can be mitigated by being more efficient in how students are taught. For example in my own personal experience in math once you get to PhD/research level topics nobody reads textbooks to gain broad knowledge on a topic but rather reads them for reference. There's just too much to learn and know so instead if you're researching some topic you try learn whatever you need as you go rather than from a bottom up approach.
2) is linked to the problems in academia as I mentioned but I guess as more technologically advanced societies should have the advantage over less technologically advanced ones and science is of course basically a prerequisite for technology advances then this problem will solve itself natural selection style.
One other thing I would like to note about academia with regards to inefficiencies is how much is still locked away behind paywalls or other inefficiencies due to decentralization. For example lots of historical journals I've seen that only have the content in a certain language, etc things like that. For the scientist and for anyone in general interested in science it would be easier if there was just a central place to look for topics that would include all historical content in some common language so it would be easily accessible. An example again from math is me having information in a Hungarian journal that no longer exists. Not only is the information behind a paywall but also it was in Hungarian and only photo scans so I had to OCR it myself. This is an example of an inefficiency and I doubt most would go as far as I did to find that information, so potentially you have huge quantities of information that may be lost unless it is cited by modern literature on the topic, which is not always the case.
https://www.theguardian.com/technology/2021/oct/19/phone-fir...
https://www.reuters.com/technology/china-linked-hacking-grou...
First of all, on the biography. So far for me the biographies written about von Neumann have two key problems to me:
1) They avoid his mathematical work and focus on his work in game theory, computing, nuclear weapons, etc. I find this a bit problematic because despite all his other achievements, von Neumann was fundamentally a mathematician who applied his skills in mathematics and logic to other fields to great success, however before all this he first made many substantial contributions to pure mathematics. Now the question is how can one author cover these broad areas that von Neumann contributed to at a reasonable level? I'm not really sure it can be done, even von Neumann's colleagues themselves weren't fully aware of the extent of his work. For example I remember reading some interview of one where they said he never made any contributions to number theory, yet von Neumann early in his career did publish at least two papers on the field, one on algebraic number theory and another on transcendental number theory. So perhaps multiple authors, each covering their specialty would work better if they can make their chapters weave together nicely. Another problem is what level should it be. I personally would like it to be around STEM major level mathematics so you can properly introduce some concepts however I understand most authors wouldn't do this because it decreases their possible audience.
2) Not much research is done into what technical work he did in defence and for private companies (particularly IBM). From the biographies I've read they all happily cover how von Neumann was this greatly respected figure and how he lead this committee and that committee and how on his deathbed he had the chiefs of all the armed forces and the chiefs of staff there too but that isn't really covering the actual technical work he did there (a good reference for his government consultancies is `A Fiery Peace in a Cold War`). He obviously consulted widely in the military, CIA, NSA, etc, military establishment in general but in terms of technical work not much is there, presumably because all the records are hidden or classified. I can understand why some of his work even today might remain that way (particularly his work on nuclear weapons) but I've yet to have seen anyone try send a FOI request to various agencies and see what they can fish out given that he died over 60 years ago. He did spend a lot of time on these things post WW2 so it would be interesting to see what he did actually contribute to beyond his position on committees and advocacy.
I notice several other comments on this page I think I can make a educated comment on as well.
First about his views on communism. As a child in Hungary von Neumann lived through several revolutions, one communist and another antisemitic. He was at risk of attack from both groups, from the communists for being part of a wealthy family and from antisemites and far righters for being a Jew. Safe to say I can imagine this ordeal while he was a teenager didn't leave a good taste in his mouth, especially as he had to move around the country to avoid being attacked and potentially killed. His remark about bombing them at a certain o'clock was from 1950, just as communism was being spread quite forcefully through violence around Europe and you can imagine why he wanted to prevent this from happening, especially considering the USA would probably lose a conventional war at this time, however they still did maintain a monopoly on nuclear weapons (for a short period). I would also like to note that for whatever reason he seemed to believe nuclear war was inevitable, and made an admission on his death bed that he believed nuclear war was "absolutely certain" to occur in the future and that everyone would die from it. This might help explain his comments if he sincerely believed nuclear war was inevitable anyway (luckily it wasn't). I would also note that he visited Moscow for a conference in 1935 and I'm sure he had many friends there, so views that he wanted to exterminate civilians for the sake of it or whatever would also be clearly wrong.
Second on the Kyoto scenario. Despite wikipedia claiming so, scanning Macrae's biography shows no indication that von Neumann had Kyoto as his first choice, but rather one of 4 cities he voted for. From what I understand the targeting of Kyoto was first added for technical reasons, and did in fact have strategic value, however the targeting committee did also note that perhaps a city full of intellectuals would more likely appreciate the significance of the bomb and hence advocate for a more peaceful solution (http://blog.nuclearsecrecy.com/2014/08/08/kyoto-misconceptio...).
Third on the good upbringing argument. A good way to see how special von Neumann was compared to other mathematicians and scientists is to get their opinions themselves, unfortunately most are long dead however several history projects do include information on this. This [1] is a good example. Basically everyone who mentions von Neumann notes that his speed and rapidity is bar absolutely none, however one of them (Edward McShane) does quote fellow Princeton mathematician Solomon Lefschetz in saying that they paid too much respect to von Neumann because of his upbringing and in particular he had the finest tutoring by Hungarian mathematicians as a child. However a counterexample to this is simple. If it was just that, then why has no one like von Neumann come up in the past 100+ years? Especially considering how material conditions and access to information have only improved since the early 1900s when von Neumann grew up.
[1]: https://web.archive.org/web/20011126182532/http://infoshare1...
Overall I think von Neumann is someone particularly unique. Not because of his creativity, nor because of insight, sure he may have had these qualities but so did many other people. What is unique about him is his speed. Looking at some of these interviews on several occasions it seems that von Neumann was literally making up new proofs for some theorem on the spot. Whether he thought about them beforehand or whether he did truly make them up on the spot is of course in question, but it seems he did it often enough one might could not be blamed for believing that the latter version is what he really did. I would also note a strange fascination that HN seems to have with von Neumann, as I see him here quite regularly and I can understand for some the worship is excessive, so it is important to note even someone of his caliber can make mistakes, the most important one I believe is already mentioned in this thread which is the mathematicization of the measurement problem. Everyone can make mistakes, and absolutely no one is immune from this.
> "How can any of us be called professor when Gödel is not?"
Clearly he had the highest of respect for him.