Isn’t this how Steve Jobs treated college? And “Apple” was his “diploma”?
Isn’t this how Steve Jobs treated college? And “Apple” was his “diploma”?
So, look at the qualifying exams, see what might study, and while attending classes attend the ones that can help with the exams.
In addition, might have available some profs to answer questions.
In addition, likely one way to impress Princeton or any university is to publish, and one way to start to do that is to attend research seminars and see what some of the open questions are, also notice what some of the profs and grad students are working on. So, this way get some guidance on what might attack as a research problem.
I got a good pure/applied math Ph.D. Well over 50% of what I needed and used for courses, the qualifying exams, and my research was what I'd studied independently after my 4 year college degree and start of grad school.
Then a grad course in optimization gave a good introduction to the Kuhn-Tucker condition, maybe say Karush-Kuhn-Tucker. After the course I saw a tricky question about the constraint qualifications, didn't see an answer in the library, so signed up for a 'reading course' to 'investigate' the question. Two weeks later I had a nice, clean solution, wrote it up, and was done with the course -- two weeks. Later I published. There I'd noticed that my work also answered a question stated but not solved in the famous Arrow, Hurwicz, Uzawa paper applying the KKTC to economics. I published in JOTA.
So, a 'walk in' student at Princeton might have been able to have done much the same. With such research and passing the qualifying exams they would be on the way to a Princeton Ph.D.
UT Austin, at the time I was there, used the other (and better, I think) method: breadth and depth graduate classes, typically more advanced versions of advanced undergrad classes. The breadth classes covered most of CS, while the depth classes were more introductions to specific areas of research.
Edit: Oral quals are just hazing, in my opinion.
https://www.math.princeton.edu/graduate
Generals/Quals require 1-2years of graduate level study, not remedial undergrad, if you look at the material covered and the syllabus and levels assigned to courses at various colleges. It just so happens that at a school like Princeton, 1st year PhD students have already taken graduate level classes in their field, or equivalent self study.
Maybe the first was as a senior. I got Kelley, General Topology and once a week gave a lecture to a prof! One week a chapter, and the next some exercises! It was fun!
The next time was on a written qualifying exam: The exam had an error, and I wasted time trying to prove it! I asked for an oral. One guy tried to haze me, but the other profs were nice, and I walked out with a rare "High Pass".
The third time was for my oral defense of my Ph.D. dissertation.
I was out running, and when I got back my wife said I'd gotten a phone call from a prof, the Chair of the committee that was to approve my dissertation -- no pushover, the Chair and a majority of the committee had to be from outside my department. Well, the Chair called me. Still with sweat from running, on my back on the bed, I had the actual oral exam! He had a question about one paragraph, so I reworded it, had my word processing retype the thing, and he was happy.
Then the fourth oral exam was the dissertation defense -- it was for show since the real one had been over the phone. The Chair looked really serious and let me look really serious and good.
Maybe there was one more: I'd rushed ahead in freshman calculus and done the first year on my own. Then I asked to start on sophomore calculus and never take freshman calculus. So, the prof gave me in effect an oral exam on freshman calculus. He concluded I'd passed and let me in sophomore calculus. He did say that he couldn't give me course credit for freshman calculus, but fine with me -- I just wanted to get going, get on with calculus, and not repeat what I'd just studied well.
Do you feel like you learned the material to a level that you would have had it been graded for you??
For the classes I sat in on, the motivation was that I was interested in the topic. But the social aspect really helped. Even though I wasn’t enrolled, knowing I was going through the same pain helped. I’m not surprised that MOOCs havn’t taken off like people assumed they would. There is nothing like sitting near people to really feel like doing something.
Btw did you ask the profs if you could take the exams , and did you? Were they willing to? They are usually a little averse to extra work lol.
Besides, of course, getting to bounce ideas off each other, etc.
Do you actually just show up? Or do you have to audit the class and register, but for free?
The irritating thing nowadays is that sometimes materials are behind a wall on the university website.
Anyway, society spends a lot of effort supporting students, from scholarships and tax exemptions to the social beliefs that allow the random person to spend several years doing nothing apparently productive without censure. But all that only applies to students actually enrolled---non-guerrilla students. Guerrilla studenting, as it was in the past, would only be the province of the idly wealthy. That, I think, is why no one tries that route.
At which point Princeton would enforce their membership rules but that's another atory
How did this person do in high school? Given high school is orders of magnitude more trivial, we can assume they were likely at or near the top of their classes, and probably would have shown remarkable results in skill assessment exams. And with that sort of motivation he also probably would have been involved in immense extracurricular and other such events. This person would likely have been able to get into any university he ever wanted.
Top universities do provide a certainly better than average education, but their main strength has nothing to do with their quality of education. It's the quality of their student body - which turns success stories into a self fulfilling prophecy. Imagine you start an 'basketball school' and only accept people that are at least 6'6", highly athletic, can dunk from x feet, run 100 meters in y seconds, etc. Go figure -- you're going to 'produce' a disproportionately huge number of NBA quality players simply because your admittance is already heavily biased to individuals who are already headed in that direction.
The point of this is that none of this has anything to do with signaling, but it also has very little to do with the quality of education received. The value of an e.g. Princeton degree is that you're the sort of person that could get accepted into Princeton which would be comparable to the sort of person that could get admitted to 'Basketball U'. Regardless of what happens during those 4 years, you're already almost certainly going to be ahead of 99% of the rest of the population. The degree just works as 'proof of filtering'. E.g. even if our basketball university had a pretty bad education system, you'd still see NBA quality players emerging from it at a way way higher rate than the population of non-admitted individuals.
I think this group is quite poorly served by our current system.
Adults with a newfound motivation are valuable and they know that. But just saying so isn't enough.
But leaving during undergrad (or just never going to college) then excelling in self-learning and industry seems to put you in a much more awkward position when it comes to continuing onward with education. You are far beyond most undergrad-level courses, but in most cases you need that bachelor's degree to even be considered for grad-level programs--or at least I believe that's the case? You end up needing to waste years of your life and tons of money just to qualify for the courses that would actually teach you something new.
So perhaps the problem is as much that there just aren't compelling tracks offered to people who don't fit neatly into the lines as it is about admissions flexibility.
That is precisely what signalling means. Top colleges pick only does who have signalled being over 99.99% of the population in things like intelligence, conformity and work ethics, then they filter out a bunch of them that never end up their degrees, and now their having their degree signals that you are a top 99.999% worker.
I think the sort that get accepted to these programs also tend to be the sort that would consider just sitting on the beach sipping martinis to be something that'd rapidly become hell. It's just boring. So you'd have a group of ultra highly driven people with 4 years of undirected self study, but also access to pretty much all the knowledge they could ever want in the era of the internet.
It's really impossible to predict, but I do think the results would be interesting and not necessarily what you're implying. In today's era of assumption of education = skill, we often forget things like the Wright Brothers were a highschool grad and a highschool dropout -- yet they effectively invented aeronautical engineering with some skills they picked up operating a bicycle repair shop. There's some major dissonance between what we, collectively, ought be doing today - and what we actually are doing. I think it's a mixture of exponential leaps in entertainment and a general worsening in the condition of entrepreneurship (imagine how laws you'd be breaking by trying to fly your own homemade airplane now a days!) Your idea would at least certainly help combat the latter simply because that's all there'd be to do!
This doesn't explain why a dropout (or even just someone with an acceptance letter but who never joined) isn't worth as much in the labor market as someone who finished the degree.
Ability. You’re talking about ability. Caplan estimates that on average the return from education is ~70% signalling and ability, 30% changes in human capital if I remember right.
Those two seem to me to be vastly different things.
Just because I build a cabinet out of good, knot-free straight boards doesn't mean the cabinet is all about the boards.