What Do These Famous Quotes Reveal About the Minds of Great Scientists?

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The discussion centers around a variety of thought-provoking quotes from notable scientists, primarily focusing on the nature of science, physics, and human understanding. Key themes include the paradox of comprehensibility in science, the importance of simplicity in explaining complex ideas, and the interplay between imagination and knowledge. Several quotes emphasize that true understanding often requires a willingness to embrace complexity and challenge established notions. The conversation also touches on the limitations of current scientific theories, particularly in quantum mechanics and string theory, highlighting the need for innovative thinking and the courage to question prevailing ideas. Additionally, there is a reflection on the role of philosophy in science, suggesting that while science models reality, philosophical inquiry helps define the parameters of those models. Overall, the dialogue underscores the dynamic and often paradoxical nature of scientific exploration and understanding.
  • #151
"I've never made a mistake, I've only learned from experience."
-T.A.Edison​
 
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  • #152
Algebra is the offer made by the devil to the mathematician. The devil says: 'I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine.'
- Sir Michael Atiyah
 
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  • #153
Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork. You want to find out what the facts are, and what you do is in that respect similar to what a laboratory technician does.
- Paul Halmos
 
  • #155
Demystifier said:
All non-ontological interpretations of quantum mechanics are alike; each ontological interpretation is ontological in its own way.
- Hrvoje Nikolić (paraphrasing Tolstoy)

Ontological interpretations are unhappy.
 
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  • #156
Auto-Didact said:
Algebra is the offer made by the devil to the mathematician. The devil says: 'I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine.'
- Sir Michael Atiyah
Nice quote! Here are some quotes from Paul Lockhart on a similar theme.

On why the Greeks didn't discover modern math:
"The curious thing is why history went the way it did, and why the modern approach has been so much more successful. The classical Greek geometers were every bit as brilliant and resourceful as their seventeenth-century counterparts (if not more so). It is certainly not a question of mathematical talent. There are plenty of reasons why the Greeks preferred direct geometric reasoning, aesthetic taste, of course, being one of them. In fact, this prejudice was taken to such an extreme that numbers themselves tended to be viewed geometrically (as lengths of sticks), and numerical operations were thought of as geometrical transformations (e.g. multiplication as scaling). This severely hampered their understanding."

On the tension between working with classical-geometry-based and number-based methods:
"There is no question that as visual animals we prefer a picture to a string of alchemical symbols. I, for one, want to feel connected to my problem on a visceral, tactile level. It helps me understand the relevant issues when I can imagine running my hand over a surface or wiggling part of an object and picturing in my mind's eye what happens. But I know that when push comes to shove, the truth is in the details, and the details are in the number pattern.
Of course, any analytic argument could be painstakingly translated into purely geometric terms, and in fact, this is the way many seventeenth-century mathematicians worked; even then there was still a great deal of prejudice in favor of geometric reasoning. This tends, however, to produce very contorted and artificial explanations in place of concise, almost too-simple-to-believe analytic arguments."

On math and modernism:
"I suppose what I'm really talking about here is modernism. The exact same issues - abstraction, the study of pattern for its own sake, and (sadly) the alienation of the layperson - are all present in modern art, music and literature. I would even venture to say that we mathematicians have gone the furthest in this direction , for the simple reason that there is nothing whatever to stop us. Untethered from the constraints of physical reality, we can push much further in the direction of simple beauty. Mathematics is the only true abstract art."

His personal conclusion:
"Maybe it all comes down to this. There are lots of beautiful patterns out there. Some, such as a triangle taking up half its box, can be easily seen and felt; others, like d(x^3) = 3x^2 dx, are not so immediately available to our visual imagination. So be it; I myself want to be open to all forms of beauty. For me, that's what being a mathematician is all about."
(all from chapter 25 of Part Two of his book Measurement)
 
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  • #157
«Skepticism is dangerous. That's exactly its function, in my view. It is the business of skepticism to be dangerous. And that's why there is a great reluctance to teach it in the schools. That's why you don't find a general fluency in skepticism in the media. On the other hand, how will we negotiate a very perilous future if we don't have the elementary intellectual tools to ask searching questions of those nominally in charge, especially in a democracy?

[...]

I want to say a little more about the burden of skepticism. You can get into a habit of thought in which you enjoy making fun of all those other people who don't see things as dearly as you do. [...]

It seems to me what is called for is an exquisite balance between two conflicting needs: the most skeptical scrutiny of all hypotheses that are served up to us and at the same time a great openness to new ideas. Obviously those two modes of thought are in some tension. But if you are able to exercise only one of these modes, whichever one it is, you're in deep trouble.»


THE BURDEN OF SKEPTICISM by Carl Sagan first published in Skeptical Inquirer, vol.12, Fall 1987
 
  • #158
Thus the combination Hamiltonian formalism, complex structure and projective structure is sufficient to deduce the Schr¨odinger dynamics, for all possible phase space dimensions. Unlike the usual axiomatization of QM, Hilbert space is now a consequence.
- K.R.W. Jones
 
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  • #159
Auto-Didact said:
Thus the combination Hamiltonian formalism, complex structure and projective structure is sufficient to deduce the Schr¨odinger dynamics, for all possible phase space dimensions. Unlike the usual axiomatization of QM, Hilbert space is now a consequence.
- K.R.W. Jones
Can you give the reference? I would like to see the technical details.
 
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  • #160
Demystifier said:
Can you give the reference? I would like to see the technical details.
Just google "The Schrödinger equation from three postulates, Jones"
 
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  • #161
DanielMB said:
Just google "The Schrödinger equation from three postulates, Jones"
It seems that the paper has been submitted to MPLA, but has never been published in a journal.
 
  • #162
Y
Demystifier said:
It seems that the paper has been submitted to MPLA, but has never been published in a journal.
You are right, it could be traced to the proceedings of a 1994 conference in Adelaide, Australia, but I couldn't find its publication in a journal
 
  • #164
Demystifier said:
But some of those results he published as a part of another paper:
https://www.sciencedirect.com/science/article/abs/pii/S0003491684710700?via=ihub
Here is Jones' list of publications:
http://krwjones.com/wordpress/publications/

'The Schrodinger Equation from Three Postulates' indeed seems to have been solely published in the proceedings of that conference: https://doi.org/10.1142/9789814532228

In any case, I would say his most important work (in physics) is probably: https://arxiv.org/abs/quant-ph/9507001
 
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  • #165
"All linear equations describing the evolution of physical systems are known to be approximations to some nonlinear theories, with only one notable exception of the Schrodinger equation."
- I. Bialynicki-Birula
 
  • #166
BillTre said:
So is biological taxonomy.
Can you please explain it.
I think it is because every organism is interrelated.
 
  • #167
Hemant said:
Can you please explain it.
I think it is because every organism is interrelated.
There used to be few named species and the naming was not very organized (or systematized).
Now there are more species and rules for how they get named. Generally, now names are to reflect the best understanding of the evolutionary relationships among the species.
Modern names are usually made of a genus name (can be shared with other species in the same genus) and a species name (which can also be used for other species in other genera (plural genus).

Because of the rules now used, combined with new techniques for determining relationships and an immense amount of new molecular data being used, the names get changed frequently.
As a result, some names have been used for more than one species. The older names remain in the literature and have to be reinterpreted.

The genus name is shared among multiple species due to their being related.
 
  • #168
Auto-Didact said:
All science is either physics or stamp collecting.
-- Rutherford
Plot twist:- he got Nobel prize in chemistry.
 
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  • #169
Great quotes.
This one is my favorite though:

Any intelligent fool can make things bigger and more complex... It takes a touch of genius - and a lot of courage to move in the opposite direction.
(Albert Einstein)
 
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  • #170
Not really a quote, but a pretty good summary of some of the motivating factors of scientists doing science.
Comment made in response to the idea of most scientists are suppressing anti-global warming science.

 
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  • #171
Now for a more traditional quote.

A famous quote from 1973 is:
"Nothing in Biology Makes Sense, Except in the Light of Evolution"
by Theodosius Dobzhansky
This refers to the importance of evolution in understanding/explaining the functions and diversity of biological systems.

An interesting, more recent (2018) variant is:
"Nothing in Biology Makes Sense, Except in the Light of Information"
by Bernd-Olaf Küppers
This refers to the importance of information in understanding/explaining biological/molecular functions.
 
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  • #172
"In Hilbert space no one can hear you scream."
- Yakir Aharonov
 
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  • #173
Asteroids have us in their sight. The dinosaurs didn't have a space program, so they're not here to talk about this problem.

- Neil deGrasse Tyson
 
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  • #174
Thus quantum mechanics occupies a very unusual place among physical theories: it contains classical mechanics as a limiting case, yet at the same time it requires this limiting case for its own formulation.
- Landau & Lifshitz
 
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  • #175
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  • #176
From the same paper:

TEP-1 does not deserve to be called a paradox (and certainly not an unresolved paradox, as many writers in philosophy still insist on claiming): it is merely an example of a screwed-up probability calculation
.
 
  • #177
"...I won't insist on any formal definition of 'cause' and will even admit that I have never seen anything in the life sciences that resembles the 'necessary and sufficient' conditions for causation that are so beloved of logicians..." Bill Shipley (Cause and Correlation in Biology, Cambridge, Second Edition)
 
  • #178
The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.
- Jacques Hadamard
 
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  • #179
The really amazing thing is if you try doing this process again you get a sixteen dimensional algebra, but it's not a normed division algebra anymore; the machine breaks after four uses and there is no money back guarantee.
- John Baez
 
  • #180
The best mathematics uses the whole mind, embraces human sensibility, and is not at all limited to the small portion of our brains that calculates and manipulates symbols. Through pursuing beauty we find truth, and where we find truth we discover incredible beauty.
– William Thurston
 
  • #181
If different kinds of entropy are different tools in statisticalphysics, then Gibbs entropy is Swiss knife, while Boltzmann entropy is katana sword.
- Hrvoje Nikolić
 
  • #182
Erwin_quote.png
 
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  • #183
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  • #184
quote-i-regard-consciousness-as-fundamental-i-regard-matter-as-derivative-from-consciousness-m...jpg
 
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  • #185
"Never measure anything but frequency!"
-Arthur Schawlow

It's creepy how well this advice has aged.
 
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  • #186
RichFeynman_NaturesLongThreads .jpg

- so all the textbook quantum "collapses" must be coming from the universal collapse which is right outside the scope of science! (since it's determining our very thoughts)
 
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  • #187
I thought I was at PF. But after reading the posts here I'm thinking I've stumbled into a Tao of Physics forum. :biggrin:

The last guest lecture I attended in college was given by a visiting professor who proved that useful [structured] information can do work. I have always suspected this is the new frontier.
 
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  • #188
Ivan Seeking said:
I thought I was at PF. But after reading the posts here I'm thinking I've stumbled into a Tao of Physics forum. :biggrin:

The last guest lecture I attended in college was given by a visiting professor who proved that useful [structured] information can do work. I have always suspected this is the new frontier.
I'd like to know more. Any help?
 
  • #189
Hornbein said:
I'd like to know more. Any help?
I need to be careful. I don't know the state of this school of thought. But the claim was that this explains the Maxwell's Demon paradox.

This is one example of something that was published [Nature Physics].

Maxwell's demon demonstration turns information into energy​

Scientists in Japan are the first to have succeeded in converting information into free energy in an experiment that verifies the "Maxwell demon" thought experiment devised in 1867.
https://phys.org/news/2010-11-maxwell-demon-energy.html
 
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  • #190
Ivan Seeking said:
I thought I was at PF. But after reading the posts here I'm thinking I've stumbled into a Tao of Physics forum. :biggrin:

Wait, does such thing exist? The author was very disappointed, I think, after an interview with Chew.
 
  • #191
arivero said:
Wait, does such thing exist?
Yes but it sends most physicists into fits.

1633740843052.png
 
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  • #192
Hornbein said:
I'd like to know more. Any help?
See also
The results also verified the generalized Jarzynski equation, which was formulated in 1997 by statistical chemist Christopher Jarzynski of the University of Maryland. The equation defines the amount of energy that could theoretically be converted from a unit of information.
https://phys.org/news/2010-11-maxwell-demon-energy.html

The Jarzynski equality (JE) is an equation in statistical mechanics that relates free energy differences between two states and the irreversible work along an ensemble of trajectories joining the same states. It is named after the physicist Christopher Jarzynski (then at the University of Washington and Los Alamos National Laboratory, currently at the University of Maryland) who derived it in 1996.[1][2] Fundamentally, the Jarzynski equality points to the fact that the fluctuations in the work satisfy certain constraints separately from the average value of the work that occurs in some process...
https://en.wikipedia.org/wiki/Jarzynski_equality
 
  • #193
arivero said:
Wait, does such thing exist? The author was very disappointed, I think, after an interview with Chew.
Ivan Seeking said:
Yes but it sends most physicists into fits.

View attachment 290413
There was also a movie... in fact two movies.

SYNOPSIS: “Mindwalk,” like “My Dinner with Andre,” is a dialogue-driven film, which explores basic philosophical questions. In this case, the principal subject is holistic vs. atomistic ways of viewing the world. The film was directed by Austiran-born Bernt Capra, a Hollywood production designer. He also wrote the story behind the film, which he adapted from the popular book The Turning Point (1983) by his brother Fritjof Capra, noted physicist and environmentalist...
http://www.philfilms.utm.edu/1/mindwalk.htm

 
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  • #194
Ivan Seeking said:
Yes but it sends most physicists into fits.

View attachment 290413
Do they actually read it? It is mostly a divulgative text on strong force as understood in the sixties, lot of flavour but not colours. The title is an obvious reference to the original theory of strings, which at that time was named "dual theory of hadrons". The chapter about "hinduism" is an attempt to support Chew's "nuclear democracy", one of the arguments of the bootstrap.

The movies, on the other hand... yes, they send me into fits.

PS: I was wondering about existence of the forum. I didn't know of the films.
 
  • #195
quote-science-cannot-solve-the-ultimate-mystery-of-nature-and-that-is-because-in-the-last-max-...jpg
 
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  • #196
Algebra is the offer made by the devil to the mathematician. The devil says: “I will give you this powerful machine, and it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine.” . . . the danger to our soul is there, because when you pass over into algebraic calculation, essentially you stop thinking: you stop thinking geometrically, you stop thinking about the meaning.

- Sir Michael Atiyah
 
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  • #197
“A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it.”
― Max Planck

Did this guy just had a bad time or is this always the case ? I haven't read his autobiography yet.
 
  • #198
This is not particularly a unique observation. Conventual beliefs can be so strong that new or radical ideas are summarily rejected or ignored and was particularly common in the medical field. People hold dear that which they strongly believe.
 
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  • #199
The idea was elaborated upon by Thomas Kuhn, a science historian/philosopher, in his book The Structure of Scientific Revolutions.
His major premise was that paradigms were concepts underlying a current understanding of a scientific field.
They provided a standard way to look at things and evaluate results in times of normal science.
However, during times of "crisis" when explanations, for some people, were not up to explaining things in the field, alternative paradigms would arise to explain that which was not being explained satisfactorily.
Since not everyone was in agreement, there will be disagreements.
Some of the people holding to the ideas might not change their minds, but not be convincing to those with the newer way of thinking of things. Their views would vanish from active science when they died off.

Many scientists like this because history and much of their scientific experience seems to support his basic idea.
 
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  • #200
BillTre said:
The idea was elaborated upon by Thomas Kuhn, a science historian/philosopher, in his book The Structure of Scientific Revolutions.
His major premise was that paradigms were concepts underlying a current understanding of a scientific field.
They provided a standard way to look at things and evaluate results in times of normal science.
However, during times of "crisis" when explanations, for some people, were not up to explaining things in the field, alternative paradigms would arise to explain that which was not being explained satisfactorily.
Since not everyone was in agreement, there will be disagreements.
Some of the people holding to the ideas might not change their minds, but not be convincing to those with the newer way of thinking of things. Their views would vanish from active science when they died off.

Many scientists like this because history and much of their scientific experience seems to support his basic idea.
BillTre,

Damn! you beat me to it!

+1 for Thomas Kuhn.

_Structures_ was considered very radical at the time (and still is). Kuhn actually considerably softened his views later in his life and career. I am still pretty fond of the radical Kuhn.

_Structures of Scientific Revolutions_, Columbia University Press 1966. Highly recommended, not the easiest read, but very worthwhile.
 

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