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.
As was predicted at the beginning of the Human Genome Project, getting the sequence will be the easy part as only technical issues are involved. The hard part will be finding out what it means, because this poses intellectual problems of how to understand the participation of the genes in the functions of living cells.
The essence of mathematics lies precisely in its freedom.
Only mathematics and mathematical logic can say as little as the physicist means to say.
There's something really beautiful about science, that human beings can ask these questions and can answer them. You can make models of nature and understand how it works.
I simply go with what works. And what works is the healthy skepticism embodied in the scientific method. Believe me, if the Bible had ever been shown to be a rich source of scientific answers and enlightenment, we would be mining it daily for cosmic discovery.
[M]y work, which I've done for a long time, was not pursued in order to gain the praise I now enjoy, but chiefly from a craving after knowledge, which I notice resides in me more than in most other men. And therewithal, whenever I found out anything remarkable, I have thought it my duty to put down my discovery on paper, so that all ingenious people might be informed thereof.
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