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
For most people, the major hurdle in grasping modern insights into the nature of the universe is that these developments are usually phrased using mathematics.
Interpretation
Many people struggle to understand contemporary theories about the universe because they are often explained through mathematical language.
Brian Greene highlights a common challenge faced by individuals when trying to understand modern scientific discoveries about the universe: the reliance on mathematics as the primary means of explanation. This dependence on technical language can create a barrier, preventing deeper comprehension and appreciation of groundbreaking insights into how the universe works.
In practice
In a lecture discussing modern physics, one might use this quote to emphasize the importance of mathematics in scientific discourse.
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?
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Arguably, my student status and perhaps my gender were also my downfall with respect to the Nobel Prize, which was awarded to Professor Antony Hewish and Professor Martin Ryle. At the time, science was still perceived as being carried out by distinguished men.
A science is not mere knowledge, it is knowledge which has undergone a process of intellectual digestion. It is the grasp of many things brought together in one, and hence is its power; for, properly speaking, it is Science that is power, not Knowledge.
We've learned that musical ability is actually not one ability but a set of abilities, a dozen or more. Through brain damage, you can lose one component and not necessarily lose the others. You can lose rhythm and retain pitch, for example, that kind of thing.
Let me lay my cards on the table. If I were to give an award for the single best idea anyone ever had, I'd give it to Darwin, ahead of even Newton or Einstein and everyone else. In a single stroke, the idea of evolution by natural selection unifies the realm of life, meaning, and purpose with the realm of space and time, cause and effect, mechanism and physical law. It is not just a wonderful idea. It is a dangerous idea.
If we find life out there, and it's not us, we will deem it not intelligent. But what may be equally as likely is that we find life that's vastly more intelligent than we are. If that's the case, we are putty in their hands.
The first possibility of rural cleanliness lies in water supply.
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