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The sad story of Heisenberg's doctoral oral exam (1998)

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Re: The sad story of Heisenberg's doctoral oral exam (1998)

#131
post #98

As a physicist i find this quite comforting. It's good to keep in mind that even the most transformative thinkers in the history of science had reasons to experience impostor syndrome. Einstein famously had a lot of trouble with math as well. No matter how good you are, physics will regularly present you with problems that you can't solve. Statistically speaking, most of the time spent doing science is spent being wr…

> Einstein famously had a lot of trouble with math as well. Isn't it a myth? http://content.time.com/time/specials/packages/article/0,288...

It's sort of a yes and no. The belief that Einstein was bad at math in school is a myth. He did just fine in mathematics at school.

But relative to other theoretical physicists he was not the strongest mathematician.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#132
post #98

Earlier quoted context omitted.

> Einstein famously had a lot of trouble with math as well. Isn't it a myth? http://content.time.com/time/specials/packages/article/0,288...

It's sort of a yes and no. The belief that Einstein was bad at math in school is a myth. He did just fine in mathematics at school. But relative to other theoretical physicists he was not the strongest mathematician.

Einstein not only "did fine" but was extremely precocious. From the wiki entry:

- - -

Einstein excelled at math and physics from a young age, reaching a mathematical level years ahead of his peers. The 12-year-old Einstein taught himself algebra and Euclidean geometry over a single summer.[28] Einstein also independently discovered his own original proof of the Pythagorean theorem aged 12.[29] A family tutor Max Talmud says that after he had given the 12-year-old Einstein a geometry textbook, after a short time "[Einstein] had worked through the whole book. He thereupon devoted himself to higher mathematics... Soon the flight of his mathematical genius was so high I could not follow."[30] His passion for geometry and algebra led the 12-year-old to become convinced that nature could be understood as a "mathematical structure".[30] Einstein started teaching himself calculus at 12, and as a 14-year-old he says he had "mastered integral and differential calculus".[31]

- - -

At age 16, he tried to skip the last two years of gymnasium and directly go to University -- to what is now known as ETH, a fantastically rigorous and selective research university -- but failed the entrance examination. He excelled at the math and physics portions, but of course did not pass in the humanities questions covering material he never studied. This is what caused many myths about him getting kicked out of school, or failing to graduate, etc. In reality, this just means he needed to attend a gymnasium to get the required secondary education in the humanities that he tried to skip.

Starting with university, he did focus on physics, so compared to many theoretical physicists who had the equivalent of a dual math/physics PhD, Einstein's PhD was more physics focused, and for this reason he is not considered as strong of a mathematician as he is a physicist, but this doesn't mean he wasn't good at math, or that he received failing grades, or that he dropped out, etc.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#133

Earlier quoted context omitted.

I think it is clear that Heisenberg, Sommerfeld, Born and others at the forefront of theoretical physics at the time were well aware of how important and far-reaching the issues that comprised Heisenberg's real work were. As explained in the article, his diversion into hydrodynamics was purely to secure a doctorate from a physics establishment which had not yet caught up to this fact, and I would say that, if anythin…

That isn’t at all clear to me as a physicist Are you a physicist?

So you think your being a physicist gives you special insight into whether Sommerfeld, Born and Heisenberg understood the significance of what they were working on? Explain.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#134

Having just finished the epic Making of the Atomic Bomb by Richard Rhodes, my mind goes to a different place —- Heisenberg was at the core of the German bomb project. Speculatively, I wonder how things might have gone a different way had he been required to be a brilliant experimentalist too. Success versus failure hinged on nitty-gritty experimental details, not on sweeping theoretical insight. Probably not, but the…

I don't know. Having the theoretical and experimental physics talent was a necessary condition for producing the atomic bomb, but was not sufficient. What was lacking was a government willing and able to commit to a crash program building the novel industrial base for isotope separation, radiochemical separation, and all the other things detailed in Rhodes' (and others books).

It's true that the NAZI govt thought the war would be won or lost in a couple of years, so longer programs weren't much valued. But they invested in rockets which didn't come into play quickly. The German physicists told the govt the bomb was far off; but there's every reason to think the scientists knew better and deliberately fudged their calculations.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#136

I use to frequent a grad student bar that regularly held an open-mic night for people to practice their defense. It was brutal. A room full of drunk grad and post-grads would try and pick apart your presentation. Targeted academic heckling. It was great. The goal was to get over your fear of the whole process -no matter what, your actual defense would be a better experience.

Many years ago I worked for a professor who allowed me into weekly meetings which were mostly of touring faculty, presenters, or academics on the job market.

The audience was always a pretty stable group of multidisciplinary, world-class faculty. Most of them were cordial but there were a few aggressive ones too. I remember a statistician who drove real hard. I didn't know any of the words he said, but the room felt electrified every time he started.

It was like intellectual UFC, but hero vs mob. I felt for the speakers, but as a fly on the wall, it was amazing. I haven't experienced anything like it since.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#137

I use to frequent a grad student bar that regularly held an open-mic night for people to practice their defense. It was brutal. A room full of drunk grad and post-grads would try and pick apart your presentation. Targeted academic heckling. It was great. The goal was to get over your fear of the whole process -no matter what, your actual defense would be a better experience.

We need more good bars like this.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#138
> Accustomed to being always at the top of his class, Heisenberg found it hard to accept the lowest of three passing grades for his doctorate

What part of "passing grade for his doctorate" did he not understand? And certainly it's not entirely bad to learn how to deal with something less than complete success occasionally.

But it seems to me like he correctly optimized his efforts. If he had scored higher, it would have meant that he had wasted time and effort that could have been better spent working on things he was actually interested in – like his eponymous uncertainty principle.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#139

This is nothing compared to S. Ramanujan. The man, clearly a genius in mathematics, was also but merely mediocre in his Mathematics classes (and exams) at University. The struggle to be recognized for him must've been quite insane. "So, you're telling me you're this math genius who can't even ace Math exams ? Yeahhhh right."

I dimly remember my high school math teacher telling us this was because he‘d just write down results without showing procedure, having done the necessary work in his head, but I may be conjuring that memory up.

Re: The sad story of Heisenberg's doctoral oral exam (1998)

#140
post #98

Earlier quoted context omitted.

> Einstein famously had a lot of trouble with math as well. Isn't it a myth? http://content.time.com/time/specials/packages/article/0,288...

It's sort of a yes and no. The belief that Einstein was bad at math in school is a myth. He did just fine in mathematics at school. But relative to other theoretical physicists he was not the strongest mathematician.

Which other theoretical physicists were amazingly great at mathematics? I am genuinly curious.

I am certainly not alluding that Einstein was great at maths. But I do think he was good enough.

von Neuman is someone I think was a beast but he was more of a mathrmatician than a physicist (at least I think so).

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