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Terry Tao's generals (2012)

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Re: Terry Tao's generals (2012)

#31
post #5

I did state though that all second derivatives of u would have L^p norms bounded by that of the Laplacian. Kleinermann asked me for an elementary explanation of this, but I couldn't think of one. I haven't the foggiest idea of what an "elementary explanation" of anything during a math graduate degree committee assessment would even sound like.

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Re: Terry Tao's generals (2012)

#33

Thought this Oppenheimer anecdote may amuse the HN contingent. "Oppenheimer obtained his Doctor of Philosophy degree in March 1927 at age 23, supervised by Max Born.[28][29] After the oral exam, James Franck, the professor administering, reportedly said, "I'm glad that's over. He was on the point of questioning me."[30] " Franck had won the Nobel two years earlier. Sources: [Refs] quoted directly from Wikipedia artic…

I keep making this mistake. I almost asked "why philosophy, didn't he study physics?" That does make me wonder: why DOES the qualification/position/status name mention only philosophy?

What we today call science was once called natural philosophy. Philosophy was simply the systematic study of the world, including physics, logic, and math, as opposed to theology or learning an applied professional trade such as medicine, law, or architecture.

The terms we use to differentiate fields of study are still shifting. Nobody uses the term "naturalist" anymore, at least not to refer to a scholarly field. There's often a huge overlap between math and various other fields. I'm not sure the recent explosion in degree names is any better than using Ph.D. It's tempting to suggest that fields like Art History and English Literature should be differentiated from [modern] Physics, but ideally scholars in all those fields should be (and often are) using many of the same analytical techniques. And realistically, I doubt usage of a shared signifier, Ph.D, is causing any consequential confusion. Arguably, as specialization increases the value of using Ph.D increases--it general implies someone has attained the highest credential in their field of study, whatever the field.

Re: Terry Tao's generals (2012)

#34

Thought this Oppenheimer anecdote may amuse the HN contingent. "Oppenheimer obtained his Doctor of Philosophy degree in March 1927 at age 23, supervised by Max Born.[28][29] After the oral exam, James Franck, the professor administering, reportedly said, "I'm glad that's over. He was on the point of questioning me."[30] " Franck had won the Nobel two years earlier. Sources: [Refs] quoted directly from Wikipedia artic…

I keep making this mistake. I almost asked "why philosophy, didn't he study physics?" That does make me wonder: why DOES the qualification/position/status name mention only philosophy?

Early in the tradition of thinking, practitioners of thinking were called philosophers. In those times there was no distinction between the physics of the world and of the mind, physics and metaphysics were one in the same. As philosophy evolved, new branches became distinct, mathematics, physics, and later chemistry and others.

The basis of all of these branches of the sciences owe their place to the work done by the early thinkers who established the ways of knowing. It is in the method of knowing that the highest degree in academic sciences is a Doctor of Philosophy. By obtaining the degree you have proven you are capable of establishing "knowing". Which is to say, you can reason.

Re: Terry Tao's generals (2012)

#35

so has he accomplished anything big/groundbreaking other than being a child prodigy and having a high iq? serious question. i only know his name for being smart. not anything specific

He won the fields medal, which is the effectively the Nobel prize for math, and has been cited nearly 100k times. Academically, these are extremely high level achievements. He’s contributed across very diverse fields of math, so it’s difficult to pin down his contributions to one thing in particular, but his most cited papers are fundamental to compressed sensing, which is both theoretically interesting and practically useful

Re: Terry Tao's generals (2012)

#37
This is the first time I've read a detailed account of "generals" in a US math PhD. I'm surprised how broad the topics covered seem. I did my PhD in the UK and the transition to fully fledged PhD candidate after the first couple of years was significantly less traumatic than this seems!

Re: Terry Tao's generals (2012)

#39
post #6
post #2

https://terrytao.wordpress.com/

Tao's blog is quite interesting.

I feel good about myself if I can understand more than the first sentence of any of his posts. Some days I'll even settle for only the first.

Great mathematicians are said to be exceptional at visualization. I wonder if the modern greats think in TeX or LaTeX on top of that. It is amazing how fast they post fully-formed, meticulously referenced blog articles or upload preprints.

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