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
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.
Interpretation
Mathematics serves as a precise language to identify and describe patterns in various phenomena.
In this quote, Brian Greene argues that mathematics is not just a collection of numbers and formulas but rather an intricate language specifically designed to articulate the inherent patterns present in the universe. Whether it be the five points of a star or the sequence of even numbers, mathematics allows us to understand and communicate the regularities we observe in nature and abstract concepts alike.
In practice
In a lecture on the importance of mathematics in science, the quote highlights how we interpret the universe.
My best teachers were not the ones who knew all the answers, but those who were deeply excited by questions they couldn't answer.
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?
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
All you are is a bag of particles acting out the laws of physics. That to me is pretty clear.
The creative scientist studies nature with the rapt gaze of the lover, and is guided as often by aesthetics as by rational considerations in guessing how nature works.
The trouble is that the hockey stick graph become an icon and deniers reckoned if they could smash the icon, the whole concept of global warming would be destroyed with it.
With any hallucinations, if you can do functional brain imagery while they're going on, you will find that the parts of the brain usually involved in seeing or hearing - in perception - have become super active by themselves. And this is an autonomous activity; this does not happen with imagination.
Even though NASA tries to simulate launch, and we practice in simulators, it's not the same - it's not even close to the same.
But nature did not deem it her business to make the discovery of her laws easy for us.
All great scientists have, in a certain sense, been great artists; the man with no imagination may collect facts, but he cannot make great discoveries.
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