Living things are too beautiful
for there not to be a mathematics
that describes them.
--- Thomas Schneider
From the top of the hill there is no hill.
--- Thomas Schneider
Are you thinking outside the box?
There is no box.
--- Thomas Schneider
Magical effects do not require miracles.
--- Thomas Schneider
Murphy's Law applied to Murphy's Law: If something can go wrong with
Murphy's Law, it will.
--
Tom Schneider
2020 Apr 05
1. Being able to do arithmetic.
2. Being able to substitute numbers in formulas.
3. Given formulas, being able to get other formulas.
4. Being able to understand the hypotheses and conclusions of theorems.
5. Being able to understand the proofs of theorems, step by step.
6. Being able to _really_ understand the proofs of theorems: that is, seeing
why the proof is as it is, and comprehending the inwardness of the theorem and
its relation to other theorems.
7. Being able to generalize and extend theorems.
8. Being able to see new relationships and discover and prove entirely new
theorems.
Those of us stuck on level 5 can no more understand the workings of a level 8 mind than a cow could understand calculus.
Elementary Number Theory, 2nd ed, page 103-104, by Underwood Dudley. W. H. Freeman & co. 1969, second edition 1978 DUDLEY@DEPAUW.EDU
For the best and safest method of philosophizing seems to be,
first diligently to investigate the properties of things and establish
them by experiment, and then to seek hypotheses to explain them.
For hypotheses ought to be fitted merely to explain the properties
of things and not attempt to predetermine them except in so far as
they can be an aid to experiments.
--- Isaac Newton Cambridge University, 1689.
Principia, Motte's Translation Reviewed by Cajori, University of
California Press (1934), p. 673.
[published on page 226 of The Hydrogen Bond by Pimentel and McClellan, W. H.
Freeman and Co, NY, 1960]
|
Albert Einstein, when asked to describe radio, replied: "You see, wire telegraph is a kind of a very, very long cat. You pull his tail in New York and his head is meowing in Los Angeles. Do you understand this? And radio operates exactly the same way: you send signals here, they receive them there. The only difference is that there is no cat."
Once the validity of this mode of thought has been recognized, the
final results appear almost simple; any intelligent undergraduate can
understand them without much trouble. But the years of searching in the
dark for a truth that one feels, but cannot express; the intense desire
and the alternations of confidence and misgiving, until one breaks
through to clarity and understanding, are only known to him who has
himself experienced them.
- Albert Einstein, 1933
About thirty years ago there was much talk that geologists ought only to
observe and not theorise; and I well remember some one saying that at this
rate a man might as well go into a gravel-pit and count the pebbles and
describe the colours. How odd it is that anyone should not see that all
observation must be for or against some view if it is to be of any
service!
- Charles Darwin, September 18, 1861
(from
Scientific American April 2001, p. 38.)
If there are two ways to do an experiment,
then do all three of them!
--- Ilya Lyakhov
2001 October 1
I was awed by enzymes and fell instantly in love with them.
I have since had love affairs
with many enzymes (none as enduring as with DNA polymerase),
but I have never met a dull or disappointing one.
Arthur Kornberg,
Remembering Our Teachers,
J. Biol. Chem., Vol. 276, Issue 1, 3-11, January 5, 2001
They submitted a manuscript to Science,
only to have it turned down.
One reviewer said it was obviously true and therefore
trivial; the other said that it was obviously wrong.
James F. Crow
Genetics, Vol. 154, 955-956, March 2000
Thomas H. Jukes (1906-1999)
dS >= dq/T
The heat of the moment
is the coin of the realm.
--TDS, 2002 July
... adaptation has been achieved by the process, already mentioned,
which hinges on the gaining of information by means of genetic
change and natural selection, as well as on the storing of knowledge in
the code of the chain molecules in the genome.
-- Konrad Lorenz,
Nobel Prize lecture, 1973
All we have to decide is what to do with the time that is given us.
--
Gandalf
J.R.R. Tolkien,
Fellowship of the Ring, Second chapter,
"The Shadow of the Past",
just after the Elvish writing and poem
that describes the One Ring.
"When I use a word,
it means just what I choose it to mean ---
neither more nor less."
---
Humpty Dumpty
(Lewis carroll),
Through the Looking Glass
Never ever let your gun
pointed be at anyone.
That it may unloaded be
matters not the least to me.
-- from Victor Smetacek, Nature 421, 27 Feb 2003 p. 897
It has been said that tackling a new scientific problem is like going
into a darkened room. First you fall over the furniture, then you
collide with other people in the room; arguments might develop. With
time things settle down, as you learn where most of the furniture is
and don't fall over so often. Eventually someone finds the light
switch and everything becomes obvious.
--- John Pendry
(Nature 2003 May 1;423(6935):22-3
Optics: Positively negative.)
"That's the problem with these things [computers],
they do what you tell them,
not what you meant to tell them."
--- Danielle Needle
2003 October 10
"I was asked by a student what ethical standards should be adopted
by life scientists.
I could immediately think of two prescriptions.
The first, common to all scientists, is to tell the truth.
The second is to stand up for all humanity."
Sydney Brenner
("Humanity as the model system." Science.
2003 Oct 24;302(5645):533.
or
google)
"Deep snow is much deeper than very deep snow."
- Michael Yarmolinsky, from his father,
1991 Aug 1
[This was told to me in the context of using the word
`very' in writing.]
"It [evolution] was a concept of such stunning simplicity, but it gave
rise, naturally, to all of the infinite and baffling complexity of
life. The awe it inspired in me made the awe that people talk about in
respect of religious experience seem, frankly, silly beside it. I'd
take the awe of understanding over the awe of ignorance any day."
- Douglas Adams
DOUGLAS ADAMS (1952 - 2001)
Interview with David Silverman
DOS is a Beetle, much used, familiar, and clunky.
Unix is an F-18.
- Chris Alfeld.
See more excellent quotes collected by Peter Alfeld.
Rarely do we find men who willingly engage in hard, solid thinking.
There is an almost universal quest for easy answers and half-baked
solutions. Nothing pains some people more than having to think.
- Martin Luther King Jr., "Strength to Love", 1963
http://www.rallyofone.org/
"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einstein
Here's a world that is livable for all people,
if you use your head.
- Herbert A. Schneider
"The book of nature is written in mathematical characters."
- Galileo Galilei,
1623.
google
I judge organizations by their parking lots, and at NASA in those
days, the parking lot was full early in the morning, the parking lot
was full late in the evening.
- Michael Collins
CNN 2004 July 21
The man who follows the crowd will usually get no further than the
crowd. The man who walks alone is likely to find himself in places no
one has ever been.
-- Alan Ashley-Pitt
Got Mole problems?
Call Avogadro 6.02 x 10^23
The same reviewer didn't add to his credibility when he pointed out
that I hadn't "defined little d in the fraction dT/dA" (the left side
of Eq. 5 in the derivation above), and, even if I had, it should be
canceled from the fraction.
-- Ed Stephan
The Division of Territory in Society
Chapter 8.
You cannot propel yourself forward by patting yourself on the back.
-- Unix fortune
"Back off man, I'm a scientist." - Ghostbusters
All models are wrong but some are useful
George Box
"You see, one thing is, I can live with doubt and uncertainty and not knowing. I think it's much more interesting to live not knowing than to have answers which might be wrong. I have approximate answers and possible beliefs and different degrees of certainty about different things, but I am not absolutely sure of anything and there are many things I do not know anything about, such as whether it means anything to ask 'why we are here?' and what the question might mean. I might think about it a little bit if I can figure it out then I go into something else. But I don't have to know an answer. I don't have ... I don't feel frightened by not knowing things, by being lost in a mysterious universe without having any purpose, which it the way it really is as far as I can tell, possibly. It doesn't frighten me. "Audio, starting at "I have approximate answers ..."
Dealing with failure is easy: work hard to improve. Success is also
easy to handle: you've solved the wrong problem. Work hard to
improve.
-- Unix fortune
"It's not that I'm so smart, it's just that I stay with problems longer."
-- Albert Einstein
A novice was trying to fix a broken Lisp machine by turning the power
off and on. Knight, seeing what the student was doing spoke sternly:
"You can not fix a machine by just power-cycling it with no
understanding of what is going wrong." Knight turned the machine off
and on. The machine worked.
-- Unix fortune
Bureaucrats cut red tape -- lengthwise.
-- Unix fortune
"Imagination is more important than knowledge.
The important thing is to not stop questioning."
--
Albert Einstein
"Our imagination is stretched to the utmost, not, as in fiction,
to imagine things which are not really there,
but just to comprehend those things which 'are' there."
-- Richard Feynman
My motto is to end oppression with education.
--
Mukhtar Mai
CNN, 2005 Nov 4
"Multiply in your head" (ordered the compassionate Dr. Adams)
"365,365,365,365,365,365 by 365,365,365,365,365,365. He [ten-year-old
Truman Henry Safford] flew around the room like a top, pulled his
pantaloons over the tops of his boots, bit his hands, rolled his eyes
in their sockets, sometimes smiling and talking, and then seeming to be
in an agony, until, in not more than one minute, said he,
133,491,850,208,566,925,016,658,299,941,583,225!" An electronic
computer might do the job a little faster but it wouldn't be as much
fun to watch.
-- James R. Newman (The World of Mathematics)
"Do not be daunted by the enormity of the world's grief.
Do justly, now. Love mercy, now. Walk humbly, now.
You are not obligated to complete the work, but neither
are you free to abandon it."
--- from the Talmud
(google)
Ogden's Law: The sooner you fall behind, the more time you have to catch up.
EARTH smog | bricks AIR -- mud -- FIRE soda water | tequila WATERMOTD
The best defense against logic is ignorance.
-- Unix fortune
The major problem of life is learning how to handle the costly
interrruptions -- the door that's slammed shut, the plan that got
sidetracked, the marriage that failed or that lovely poem that didn't
get written because someone knocked on the door.
--
Martin Luther King Jr., found
in King's briefcase on his trip to Memphis,
Tennesee, in 1968.
CNN Special report.
PDF.
A child of five could understand this! Fetch me a child of five.
-- Unix fortune
A true scientist is working at the very limit of his own knowledge,
and therefore half of the time he is feeling incompetent. Our job is
to feel incompetent 50% of the time, by pushing the boundary. When we
are feeling completely comfortable and competent, we are not doing our
job.
--
Carlos Bustamante
BioTechniques, April 2007,
Volume 42, Number 4: p 411
A new supply of
round tuits
has arrived and are available from Mary.
Anyone who has been putting off work until they got a round tuit now
has no excuse for further procrastination.
-- Unix fortune
"We'll cross out that bridge when we come back to it later."
-- Unix fortune
"All these other animation groups want to be like Pixar, but they
steal the wrong things from them. They don't steal the actual process,
which is take your time, hold out for the good stuff, which is kind of
what 'Ratatouille' is all about. Don't just stuff yourself with bland
garbage. Wait for the good stuff."
-- Patton Oswalt
CNN 2007 Jul 1 (Link broken by 2007 Dec 20)
Q: How do you shoot a blue elephant?
A: With a blue-elephant gun.
Q: How do you shoot a pink elephant?
A: Twist its trunk until it turns blue, then shoot it with
a blue-elephant gun.
-- Unix fortune
There are no physicists in the hottest parts of hell, because the existence
of a "hottest part" implies a temperature difference, and any marginally
competent physicist would immediately use this to run a heat engine and make
some other part of hell comfortably cool. This is obviously impossible.
-- Richard Davisson
-- Unix fortune
Even if you are a minority of one, the truth is the truth.
Mohandas Gandhi
Whenever I hear anyone arguing for slavery, I feel
a strong impulse to see it tried on him personally.
-- Abraham Lincoln
-- Unix fortune
The future is a race between education and catastrophe.
-- H. G. Wells
-- Unix fortune
An direct quote is:
Human history becomes more and more a race between education and catastrophe.
-- H. G. Wells, "The Outline of History", chapter. 41, 1920
The grand Question which every naturalist ought to have before him
when dissecting a whale or classifying a mite, a fungus or an
infusorian is "What are the Laws of Life"
-- Charles Darwin
B Notebook B229
"if something's really important, you keep after it,
regardless of what other people think."
-- Judah Folkman
Optimism personified
Science 319(5862) 25 January 2008
Biology is rapidly becoming a science that demands more intense
mathematical and physical analysis than biologists have been
accustomed to, and such analysis will be required to understand the
workings of cells.
-- Harold Varmus
The Impact of Physics on Biology & Medicine,
Plenary Talk, Centennial Meeting of the American Physical Society
Atlanta March 22, 1999
Q: What lies on the bottom of the ocean and twitches?
A: A nervous wreck.
-- Unix fortune
Four stages of acceptance: (J.B.S. Haldane, Journal of Genetics #58, 1963)
i) this is worthless nonsense;
ii) this is an interesting, but perverse, point of view;
iii) this is true, but quite unimportant;
iv) I always said so.
29. ... It often happens, with regard to new inventions, that one part of the
general public finds them useless and another part considers them
to be impossible.
When it becomes clear that the possibility and the usefulness can no longer
be denied, most agree that the whole thing was fairly easy to discover and
that they knew about it all along.
I have not collected the above historical information with that same
purpose in mind....
--- Dennis Ritchie
This appeared as footnote 29 in "A Treatise on Telegraphs" by A. N.
Edelcrantz, a councillor to the Swedish king, and was written in 1796.
The translation to English was arranged by Gerard Holtzmann.
"The reasonable man adapts himself to the world; the unreasonable one
persists in trying to adapt the world to himself. Therefore all
progress depends on the unreasonable man."
-- George Bernard Shaw
How do you turn wood into glass?
Leave the door ajar.
--- Tom Schneider
Do not go where the path may lead, go instead where there is no path
and leave a trail.
-- Ralph Waldo Emerson
see:
Charles Elachi: The story of the Mars Rovers
"What I cannot create, I do not understand."
-- Richard Feynman
all things are numbers
--
Pythagoras
There is geometry in the humming of the strings.
There is music in the spacings of the spheres.
--
Pythagoras
("from the preface of the book entitled Music of the Spheres by Guy
Murchie (1961)".)
"People who wish to analyze nature without using mathematics must settle
for a reduced understanding"
--
Richard Feynman
If you want creative workers,
give them enough time to play.
-- John Cleese, comic actor (1939- )
texhax
A: Because it messes up the order in which people normally read text.
Q: Why is top-posting such a bad thing?
A: Top-posting.
Q: What is the most annoying thing in e-mail?
"We'll restore science to its rightful place ..."
--
Barack Obama, 20 January 2009
Inaugural Address
No, his mind is not for rent
To any God or government.
Always hopeful, yet discontent,
He knows changes aren't permanent,
But change is.
from 'Tom Sawyer' by Rush
search
If There Is No Struggle, There Is No Progress.
--
Frederick Douglass, 1857
google
The first thing needed is the rectification of names.
-- Confucius, Analects 13:3
Nature Chemical Biology 5, 521 - 525 (2009);
The Rectification of Names
A good programmer is someone who looks both ways before crossing a
one-way street.
-- Doug Linder, Unix fortune
A CREDO
"Strange is our situation here upon
earth. Each of us comes for a short visit,
not knowing why, yet sometimes seeming
to divine a purpose. From the standpoint
of daily life, however, there is one
thing we know: that man is here for the
sake of other men . . . above all, for those
upon whose smile and well-being our
own happiness depends, and also for the
countless unknown souls with whose fate
we are connected by a bond-of sympathy.
Many times a day I realize how much
my own outer and inner life is built upon
the labors of my fellow men, both living
and dead, and how earnestly I must exert
myself in order to give in return as much
as I have received."
-- Albert Einstein
"Science doesn't work on 2 year cycles,
you all know that."
-- Francis Collins
NIH Director
2009 Aug 17
NIH All-Hands Town Meeting with Dr. Collins.
An NIH all-hands town meeting in the Main Auditorium of the Natcher Building,
on Monday, August 17--Dr. Collins' first day as NIH Director,
NIH videocast.
The only possible interpretation of any research whatever in the
`social sciences' is: some do, some don't.
--
Ernest Rutherford
Simon Sinek: How great leaders inspire action From: TED, May 04, 2010.
`Simon Sinek has a simple but powerful model for inspirational leadership all starting with a golden circle and the question "Why?" His examples include Apple, Martin Luther King, and the Wright brothers -- and as a counterpoint Tivo, which (until a recent court victory that tripled its stock price) appeared to be struggling.'
1970 - Niklaus Wirth creates Pascal, a procedural language. Critics
immediately denounce Pascal because it uses "x := x + y" syntax
instead of the more familiar C-like "x = x + y". This criticism
happens in spite of the fact that C has not yet been invented.
--
James Iry
Lewis's Law of Travel:
The first piece of luggage out of the
chute doesn't belong to anyone, ever.
-- Unix fortune
All energy is only borrowed, and one day you have to give it back. -- Avatar |
One day this guy is finally fed up with his middle-class existence and decides to do something about it. He calls up his best friend, who is a mathematical genius. "Look," he says, "do you suppose you could find some way mathematically of guaranteeing winning at the race track? We could make a lot of money and retire and enjoy life." The mathematician thinks this over a bit and walks away mumbling to himself.--- Unix fortune
A week later his friend drops by to ask the genius if he's had any success. The genius, looking a little bleary-eyed, replies, "Well, yes, actually I do have an idea, and I'm reasonably sure that it will work, but there a number of details to be figured out.
After the second week the mathematician appears at his friend's house, looking quite a bit rumpled, and announces, "I think I've got it! I still have some of the theory to work out, but now I'm certain that I'm on the right track."
At the end of the third week the mathematician wakes his friend by pounding on his door at three in the morning. He has dark circles under his eyes. His hair hasn't been combed for many days. He appears to be wearing the same clothes as the last time. He has several pencils sticking out from behind his ears and an almost maniacal expression on his face. "WE CAN DO IT! WE CAN DO IT!!" he shrieks. "I have discovered the perfect solution!! And it's so EASY! First, we assume that horses are perfect spheres in simple harmonic motion..."
"First they ignore you,
then they laugh at you,
then they fight you,
then you win."
-- Mahatma Gandhi
(According to the wikipedia entry on
Mohandas Karamchand Gandhi
it is disputed that he said this.)
"Estimated amount of glucose used by an adult human brain each day,
expressed in M&Ms: 250"
--
Harper's Index
(mutt messages)
The astronomer Francesco Sizi, a contemporary of Galileo, argues that Jupiter can have no satellites:
"There are seven windows in the head, two nostrils, two ears, two eyes, and a mouth; so in the heavens there are two favorable stars, two unpropitious, two luminaries, and Mercury alone undecided and indifferent. From which and many other similar phenomena of nature such as the seven metals, etc., which it were tedious to enumerate, we gather that the number of planets is necessarily seven. [...]"
"Moreover, the satellites are invisible to the naked eye and therefore can have no influence on the earth and therefore would be useless and therefore do not exist.-- Unix fortune
It is never safe for a biologist to announce a discovery if he has not read and mastered The Origin of Species.-- Keith (1928). Introduction to Everyman Edition of C. Darwin, The Origin of Species.
A manager went to his programmers and told them: "As regards to your
work hours: you are going to have to come in at nine in the morning and leave
at five in the afternoon." At this, all of them became angry and several
resigned on the spot.
So the manager said: "All right, in that case you may set your own
working hours, as long as you finish your projects on schedule." The
programmers, now satisfied, began to come in at noon and work to the wee
hours of the morning.
-- Geoffrey James, "The Tao of Programming"
There was a young man from LeDoux,
Whose limericks stopped at line two.
There was a young man from Verdunne.
[Actually, there are three limericks in this series, the third one
is about some guy named Nero. If anyone has a copy of it, please
mail it to "fortune". Ed.]
-- Unix fortune
What's in a name? In the case of Shannon's
measure the naming was not accidental.
In 1961 one of us (Tribus)
asked Shannon what he had thought
about when he had finally confirmed his
famous measure. Shannon replied: "My
greatest concern was what to call it. I
thought of calling it 'information,' but
the word was overly used, so I decided
to call it 'uncertainty.' When I discussed
it with John von Neumann, he had a better
idea. Von Neumann told me, 'You
should call it entropy, for two reasons.
In the first place your uncertainty function
has been used in statistical mechanics
under that name, so it already has a
name. In the second place, and more
important, no one knows what entropy
really is, so in a debate you will always
have the advantage.'
--
M. Tribus and E. C. McIrvine, Energy and Information, Sci. Am., 225,
3, 179-188, September, 1971.
https://doi.org/10.1038/scientificamerican0971-179
This is the origin of one of the many
pitfalls in information theory,
confusing information, uncertainty and entropy.
"Nothing that results from human progress is achieved with unanimous
consent. And those who are enlightened before the others are condemned
to pursue that light in spite of others."
-- Christopher Columbus
Furthermore, if we send something by car, it's a shipment...
but if we send it by ship, it's cargo.
-- Unix fortune
That reminds me that
we park our cars in the driveway and
we drive on a parkway.
He continues: "Understanding is what we do. My plea is that the NIH needs to understand this too. And that there has to be a balance between basic science, which gives you understanding and something that will cure Mrs Joneses' cancer tomorrow. It may not be possible to find something for Mrs Joneses' cancer tomorrow by working on Mrs Joneses' cancer. We might have to be a little more subtle. Subtle is the lord but he is not malicious, right? The message for the sponsor is if we starve basic science, there'll be nothing left to translate. -- Dr. David Botstein, Princeton University Evolution and Cancer lecture at NIH 2012 Jan 04 at 46:38. |