Research is seeing what everyone else has seen, but thinking what no one
else has thought
----- Feynman
Fortune favors the prepared mind
----- Pasteur
Energy will do anything that can be done in the world.
----- Johann Wolfgang von Goethe
Newton was a man who wrote a book that neither he nor anybody else could
understand
----- Cambridge student
* So since Newton's time, the idea of Quantum Theory has been
developed; and it could be the reason that some physics books are not
easy to follow.
----- the host
If I have ever made any valuable discoveries, it has been owing more to
patient attention, then to any other talent.
----- Sir Isaac Newton
The essence of knowledge is, having it, to apply it
----- Confucius
Statistical Perspective
In this life nothing is certain but death and taxes
----- Benjamin Franklin
I look upon quantum mechanics with admiration and suspicion
------ Albert Einstein
Experiments are the only means of knowledge at our disposal. The rest is poetry, imagination.
------ Planck
Q: When is the time for our imagination to unfold ?
A: When the mathematical or physical experiment is done.
--- From a professional mathematician like me.
*** a fundamental idea about entropy
If there is no uncertainty, then the entropy is zero and we do not have
to make a measurement, because we know what the result will be. No
uncertainty, no information. No pain, no gain.
Information is associated with uncertainty and entropy. Before we observe
an oscillator, its displacement, momentum, frequency,phase, and energy are
completely uncertain. ...... When entropy is low, a small amount of
information removes a relatively large uncertainty. When entropy is high,
a large amount of information is required.
--- But all of this is statistical, and a.e. we look we see systems with
low entropy, far from thermodyamic equilibrium
Bohr:
One must always do what one really cannot
David Hilbert(as quoted by Jean Dieudonn\'{e}):
We must know and we shall know
in Great Currents of Mathematical Thought, Vol.1
(Dover Publications, New York, 1971)
a translation of Les Grandes Courants de la Pens\'{e}e
Math\'{e}matique
(Librairie Scientifique et Technique, Paris, 1962)