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'm not trying to copy Nature, I'm trying to find the principles she's using.
A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is more often than not a way of making sure that our minds are not playing tricks.
When I write a scientific treatise, I might reach 100 people. When the 'National Geographic' covers a project, it communicates about plants and fish and underwater technology to more than 10 million people.
Imagine being able to predict and prevent cancer before it starts. If we gather the world's talent and expertise in a committed, targeted effort, great progress is possible.
A theory is a good theory if it satisfies two requirements: it must accurately describe a large class of observations on the basis of a model that contains only a few arbitrary elements, and it must make definite predictions about the results of future observations.
The imposing edifice of science provides a challenging view of what can be achieved by the accumulation of many small efforts in a steady objective and dedicated search for truth.
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