My best teachers were not the ones who knew all the answers, but those who were deeply excited by questions they couldn't answer.
Brian GreeneRead
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Interpretation
The quote suggests that physicists approach their work with creativity and flexibility, while mathematicians adhere to more structured principles.
In this quote, Brian Greene contrasts the creative approaches of physicists with the more rigid methodologies of mathematicians. He likens physicists to avant-garde composers who experiment and innovate, pushing the boundaries of traditional science, whereas mathematicians are compared to classical composers who follow established rules and structures. This highlights the difference in thought processes and problem-solving techniques between these two fields.
In practice
In a lecture on the creativity in scientific research.
My best teachers were not the ones who knew all the answers, but those who were deeply excited by questions they couldn't answer.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
According to inflation, the more than 100 billion galaxies, sparkling throughout space like heavenly diamonds, are nothing but quantum mechanics writ large across the sky. To me, this realization is one of the greatest wonders of the modern scientific age.
So: if you buy the notion that reality consists of the things in your freeze-frame mental image right now, and if you agree that your now is no more valid than the now of someone located far away in space who can move freely, then reality encompasses all of the events in spacetime.
Black holes, we all know, are these regions where if an object falls in, it can't get out, but the puzzle that many struggled with over the decades is, what happens to the information that an object contains when it falls into a black hole. Is it simply lost?
All you are is a bag of particles acting out the laws of physics. That to me is pretty clear.
I don't care much for equations myself. This is partly because it is difficult for me to write them down, but mainly because I don't have an intuitive feeling for equations.
It will be another million years, at least, before we understand the primes.
Imaginary time is a new dimension, at right angles to ordinary, real time.
When it comes to atoms, language can be used only as in poetry.
As in biomedical science, pioneering industrial inventions have not been mothered by necessity. Rather, inventions for which there was no commercial use only later became the commercial airplanes, xerography and lasers on which modern society depends.
Alone among businesses, the fossil-fuel industry is allowed to dump its main waste, carbon dioxide, for free.
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