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mjreacher

966 karma · joined August 19, 2020

Undergrad student interested in many things
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mjreacher··on Major government surveillance revelations fail to make a big splash
While it is plausible for any of those agencies to spy on the domestic population, and it may definitely be possible that some of them need to be combined or removed, you must realize that any country will have such agencies as they have important roles, particularly for the military and law enforcement. It would be rather unwise if the FBI didn't have an intelligence branch because there's plenty of analysis to be gained from there, for example how drug cartels operate. Similarly, the DIA has an important job of accurately finding out the military capabilities of other countries. Whether they do bad/illegal things or not they are a necessary part of any government.
mjreacher··on Major government surveillance revelations fail to make a big splash
There's plenty of sex related scandals that go on all the time that are 'open secrets' so to speak, another famous one being Harvey Weinstein. On one hand you can go in the conspiracy direction and say everyone was colluding to keep it secret, but on the other hand you can think about how little strong evidence there was and how these kinds of people would be very eager to sue for defamation if you accused them of anything.
mjreacher··on John von Neumann thought he had the answers
For your first claim I think you'll find what von Neumann claimed is a lot more limited than you think, and even then what exactly was interpreted is still up for debate, see from last year:

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://arxiv.org/abs/2105.02314

mjreacher··on John von Neumann thought he had the answers
I agree, all the easy problems are solved so only hard ones are left, but the issue of widespread knowledge doesn't seem to be as important to me. The difficulty in a lot of fields is not for example picking up undergraduate knowledge in game theory or whatever, calculus was once an advanced topic but we can teach it to 12 year olds now, but making deep contributions to fields because as you say the easy problems have been picked so either you have to introduce a new paradigm or you have to have an ever growing amount of prerequisite material to know beforehand to contribute something new of significance.
mjreacher··on John von Neumann thought he had the answers
Yes they were screwed and lots of people did die unnecessarily. However, Saudi Arabia wants nukes, Shinzo Abe (ex Japan PM) said Japan should get nukes, the future of the long term program of Iran is still unsettled. Apartheid South Africa had nukes and only gave them up because they didn't want the native Africans to have them. The problem becomes as more and more countries develop nuclear weapons, the risk of conflict using them grows higher. Already we have a long term conflict between Pakistan and India where both nations are nuclear armed and I very much doubt Pakistan's nuclear security as anywhere as good as say America's or China's. What would happen if 20 or 30 or 40 countries had nukes? They would threaten to use them over every small thing and eventually I guess someone would use them, and who knows what happens then.
mjreacher··on John von Neumann thought he had the answers
Well if you can solve problems of functional analysis or linear programming while at a party with others I must congratulate you, you're probably half way there lol
mjreacher··on John von Neumann thought he had the answers
Possibly, funnily enough his daughter mentions in her book that in hindsight one of the first signs of cancer was that he started sleeping for 7 or 8 hours a day!
mjreacher··on John von Neumann thought he had the answers
I believe the reason can be genetic https://www.nih.gov/news-events/nih-research-matters/gene-id...
mjreacher··on John von Neumann thought he had the answers
Wigner himself said the only genius amongst The Martians was von Neumann so he at least thought von Neumann was special compared to the others. For your example a mathematician who would fit better would be Norbert Wiener, who was taught from a young age by his father to be a prodigy.
mjreacher··on John von Neumann thought he had the answers
In terms of deep contributions to a variety of mathematical science type fields, probably no one. People might say Terence Tao, and of course no offense to him he is extraordinary smart and widely knowledged, but in my opinion he hasn't made the same level of deep contributions to mathematics let alone other fields. From what I've heard and read historically to be considered one of the "greats" so to speak you had to have full mastery of a field, either by starting it or revolutionizing it (funnily enough von Neumann was criticized for this by other mathematicians in his time). An easy example is Alexander Grothendieck, who is considered one of the top mathematicians of the 20th century. He revolutionized algebraic geometry and homological algebra. For von Neumann the most obvious field would be operator algebras. Of course the reason for mathematicians these days not being as "creative" or "revolutionary" may just be that all the low hanging fruit so to speak has already been picked, which in my view is the most obvious reason, so it's significantly harder to make deep contributions compared to times past, but it is what it is.
mjreacher··on John von Neumann thought he had the answers
There's plenty of academic literature on the topic, available through everyone's favorite scholarly website if not available to you otherwise.

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

mjreacher··on John von Neumann thought he had the answers
His quote was only relevant to preventing other nations from obtaining nuclear weapons. While for now nuclear peace still exists it still remains to be seen in the long term, especially as more and more nations think of developing nuclear weapons, whether the idea of allowing nuclear proliferation was a good one in the end.
mjreacher··on John von Neumann thought he had the answers
Unfortunately there has been lack of academic literature on this too on how he was able to solve problems so quickly. Much of what is known can only gathered from anecdotes from those who knew him personally. Edward Teller said in an interview that von Neumann enjoyed thinking more than anything else and did it all the time. This fits in well with other anecdotes. He was known to leave parties for periods of time to go to his room and write things down. He slept for only 4 hours a day and at night worked on problems. From what's been said of him he clearly spent basically his entire time thinking and working through problems. Then of course his favored way of attacking problems was axiomatically so he had some systematic way of going about this too. The end result of someone who spends a lot of time solving problems is that they know how to solve a lot of problems when they come up again.
mjreacher··on The Myth of 'I'm Bad at Math'
I'm aware this article was reposted fairly recently [0] but I came across some interesting discussion on the math subreddit [1] and thought it would be weird to post the commentary there directly instead of linking the original source. For those who do not bother to fully read the article please note they are talking about elementary (ie school level) math skills rather than anything more advanced.

[0]: https://news.ycombinator.com/item?id=26938461

[1]: https://old.reddit.com/r/math/comments/srwvx9/the_myth_of_im...

mjreacher··on There Is Too Much Stuff (2019)
Past: https://news.ycombinator.com/item?id=20018756 (2019)

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

mjreacher··on The End of Online Anonymity (2019)
Do you have any examples of such vile content that would be worse than what we see today?
mjreacher··on Von Neumann, Einstein, Morgenstern, Morse and Lefschetz (1952)
On the topic of von Neumann and Solomon Lefschetz, a while back I saw a documentary about Paul Halmos that discussed them, unfortunately it seems to have been removed for copyright but the trailer is still accessible [0].

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.

[0]: https://www.youtube.com/watch?v=ONvYPldXoZs

[1]: https://web.math.princeton.edu/oral-history/c21.pdf

mjreacher··on US foreign policy is driven mostly by short-term politics, not coherent strategy
Luckily we can find it on our favorite online library that goes by the name of a 2015 terminator movie.
mjreacher··on 54% of adults in the United States have prose literacy below the 6th-grade level
A bit late but they're probably referring to this post:

https://old.reddit.com/r/todayilearned/comments/rqulik/til_t...

mjreacher··on Philosophers and Other Conjurers
One of the points I think the grandparent is trying to make is that quite often key ideas are obscured by needing to read vast amounts of literature. For example before I've asked on a forum for some of Kant's key ideas, and all I got in reply was to read several 700 page books, which would be nice, but that isn't what I asked for. I've seen this several times so in certain parts it seems to be a cultural issue for some people. This connects with Orwell's six rules for writing that say when you write you should write to the point.
mjreacher··on When did computer science theory get so hard?
There is indeed an equivalent of the Lebesgue integral available in several textbooks, for example `Nonstandard Analysis for the Working Mathematician`.
mjreacher··on Pentagon warns China is rapidly expanding its nuclear arsenal
the report itself:

"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...

mjreacher··on Too many new papers may mean novel ideas rarely rack up citations
On the topic of progress in science I personally believe that fields where computation is useful/important (such as biology, chemistry, etc) will continue to progress without much issue, as computation for now at least is continuing to grow without much issue itself, and as it grows it will take at least some time for the appropriate computational methods to be developed. However for other fields where computational resources may not have as much significance (such as theoretical particle physics) I can see that stagnation may be an issue.

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.

mjreacher··on LightBasin: A Roaming Threat to Telecommunications Companies
See recent media reports for non-technical summary:

https://www.theguardian.com/technology/2021/oct/19/phone-fir...

https://www.reuters.com/technology/china-linked-hacking-grou...

mjreacher··on A new biography of John von Neumann
Hi, I'd like to make a few comments on von Neumann considering I've spent some time reading around about him.

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.

mjreacher··on Over 42% of Koreans in their 30s unmarried
I suppose they mean it literally as in not legally married? Usually for couples who are together but not married they use another word.
mjreacher··on Energy Compensation and Adiposity in Humans
Commentary: https://www.nytimes.com/2021/09/22/well/move/weight-loss-exe...
mjreacher··on What John von Neumann Did at Los Alamos
You can hear it straight from the horse's mouth (Hans Bethe, director of the technical division at Los Alamos) about Feynman https://www.youtube.com/watch?v=e4e1jdt-n8U
mjreacher··on What John von Neumann Did at Los Alamos
For non mathematical topics "John Von Neumann: The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much More" by Macrae is reasonably well sourced although the author's self admitted lack of mathematics does show. A biography reasonably covering mathematical topics too doesn't really exist yet given the wide range of von Neumann's work but if you're more interested in mathematical legacy there was an AMS symposium on him in 1988 whose proceedings are available online https://bookstore.ams.org/pspum-50 and other various smaller papers on his technical legacy over the years.
mjreacher··on What John von Neumann Did at Los Alamos
In a similar fashion von Neumann also said this regarding concerns of Gödel's academic position at the IAS.

> "How can any of us be called professor when Gödel is not?"

Clearly he had the highest of respect for him.

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