Why are numbers beautiful?

Why are numbers beautiful?

Postby Guest » Tue May 21, 2019 3:59 pm

"It’s like asking why is Ludwig van Beethoven’s Ninth Symphony beautiful. If you don't see why, someone can't tell you. I know numbers are beautiful. If they aren't beautiful, nothing is.” ― Paul Erdős, a great mathematician.


Equations are beautiful and important too. And of course, they are about numbers...

Now, please consider the equation, W = M + E.

"Hmm. Because we have live in a living (creative and changing) universe that works evey moment of existence, the equation which describes our existence and the existence of the grandest universe must be about energy and about work. And thus, work has to have a more profound meaning than work currently defined by physics.

W = M + E.

W represents work.

M represents mass.

E represents radiant energy internal and external to mass.

The diverse interactions of mass and radiant energy imply the dynamic forces of nature, manifolds, networks, and information. And those interactions are about work of change or work of resistance to change and about shapes(geometric and dynamic space-time, fields, etc.) ...

Hmm. W = M + E is the most important equation in science. Do you agree?"

Relevant Reference Link: https://www.math10.com/forum/viewtopic.php?f=32&t=8272
Attachments
Numbers are beautiful!.jpg
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Re: Why are numbers beautiful?

Postby Guest » Wed May 22, 2019 7:00 pm

Some Food for Thought: 'There’s Beauty in Numbers',

https://www.nytimes.com/2008/06/08/nyregion/nyregionspecial2/08artsli.html
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Thu May 23, 2019 7:01 pm

FYI: 'Phase transitions: The math behind the music',

https://m.phys.org/news/2019-05-phase-transitions-math-music.html#lightbox
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Fri May 24, 2019 8:46 pm

Guest wrote:FYI: 'Phase transitions: The math behind the music',

https://m.phys.org/news/2019-05-phase-transitions-math-music.html#lightbox


Relevant Reference Link:

'Order out of Chaos...' by Ilya Prigogine et Al.,

https://books.google.com/books/about/Order_Out_of_Chaos.html?id=w6GyDQAAQBAJ&printsec=frontcover&source=kp_read_button
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Mon May 27, 2019 10:24 pm

FYI: On math that matters:

'Mathematics of scale: Big, small and everything in between' by Prof. Mitchell Newberry, University of Michigan,

https://theconversation.com/mathematics-of-scale-big-small-and-everything-in-between-115890

Go Blue!
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Wed May 29, 2019 12:20 am

Hmm. Some Food for Thought:

Is "Everything in the Universe Is Made of Math – Including You..."?

http://discovermagazine.com/2013/dec/13-math-made-flesh
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Wed May 29, 2019 3:30 pm

Guest wrote:Some Food for Thought: 'There’s Beauty in Numbers',

https://www.nytimes.com/2008/06/08/nyregion/nyregionspecial2/08artsli.html


"Thinking in the sense of programs instead of equations opens up a new kind of science." -- Stephen Wolfram, 2002.

"The deepest and most elementary and therefore still unresolved problem in mathematics today has nothing to do with geometry or integers: it's about the calculation." -- Christos H. Papadimitriou, 2007.

Relevant Reference Link:

https://www.mpg.de/11867550/mpi-sws_jb_2018?c=155640
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Fri Jun 14, 2019 1:40 pm

What is good mathematics?

Hmm. Prof. T. Tao has written an insightful paper to answer that question. Please see attached file for details.
Attachments
What is good mathematics.pdf
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Re: Why are numbers beautiful?

Postby Guest » Fri Jun 14, 2019 10:37 pm

Guest wrote:
Guest wrote:Some Food for Thought: 'There’s Beauty in Numbers',

https://www.nytimes.com/2008/06/08/nyregion/nyregionspecial2/08artsli.html


"Thinking in the sense of programs instead of equations opens up a new kind of science." -- Stephen Wolfram, 2002.

"The deepest and most elementary and therefore still unresolved problem in mathematics today has nothing to do with geometry or integers: it's about the calculation." -- Christos H. Papadimitriou, 2007.

Relevant Reference Link:

...


Another Relevant Reference Link:

'Simplified, enhanced performance prediction for complex systems',

https://phys.org/news/2019-06-complex.html
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Sun Jun 23, 2019 10:35 am

Guest wrote:
Guest wrote:FYI: 'Phase transitions: The math behind the music',

...


Relevant Reference Link:

'Order out of Chaos...' by Ilya Prigogine et Al.,

https://books.google.com/books/about/Order_Out_of_Chaos.html?id=w6GyDQAAQBAJ&printsec=frontcover&source=kp_read_button


Hmm. Some Food for Thought:

Like the hidden periodic structure/arrangement of prime numbers, matter behaves likewise...

'The hidden structure of the periodic system (of matter)',

https://phys.org/news/2019-06-hidden-periodic.html
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Sun Jun 23, 2019 10:45 am

Guest wrote:What is good mathematics?

Hmm. Prof. T. Tao has written an insightful paper to answer that question. Please see attached file for details.


Moreover, Prof. T. Tao gives us some sound advice on solving math problems:

'Solving mathematical problems',

https://terrytao.wordpress.com/career-advice/solving-mathematical-problems/#comment-517733.
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Sun Jun 23, 2019 2:14 pm

'Proofs from THE BOOK' is also a good read. Please see attached file for details.
Attachments
Proofs from the Book.pdf
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Guest
 

Re: Why are numbers beautiful?

Postby Guest » Sun Jun 23, 2019 7:33 pm

"A sound mathematical theory should always point in the direction of truth." Hmm.
Attachments
722097-Pythagoras-Quote-God-built-the-universe-on-numbers.jpg
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Guest
 

Re: Why are numbers beautiful?

Postby Guest » Sun Jun 23, 2019 11:06 pm

Nature is a grand optimizer, and therefore, one and only one critical line, (Re(z) = 1/2, the Riemann Hypothesis), is enough to define all primes and all nontrivial zeros of the Riemann Zeta Function. Hmm.
Attachments
RH Critical Line.png
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Re: Why are numbers beautiful?

Postby Guest » Mon Jun 24, 2019 6:06 pm

Hmm. Of course, the Riemann Hypothesis (RH) is sound!... Go Blue! :)

And it is okay to agree to disagree about the soundness of RH or its purported proofs. But where is your proof or disproof?

There is a good reference link below on some proofs/disproofs of RH.

We especially enjoy reading those RH proofs involving some wonderful and powerful ideas from physics.

However, mathematicians have developed and refined sufficient and powerful mathematical methods to solve the RH problem without the need of assistance from the wonderful world of physics. Hmm. Do you agree?

Relevant Reference Link:

'proposed (dis)proofs of the Riemann Hypothesis',

http://empslocal.ex.ac.uk/people/staff/mrwatkin//zeta/RHproofs.htm.
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Mon Jun 24, 2019 8:27 pm

Nature has countless patterns of beauty and of wonder that can be described by numbers and geometry. Please consider the paper, 'PATTERNS IN NATURE'. Please see attached file for its details.
Attachments
PATTERNS IN NATURE.pdf
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Re: Why are numbers beautiful?

Postby Guest » Fri Jun 28, 2019 7:58 pm

Some Food for Thought:

"Science is an adventure of the human spirit. It is essentially an artistic enterprise, stimulated largely by curiosity, served largely by disciplined imagination, and based largely on faith in the reasonableness, order, and beauty of the universe." -- Warren Weaver.
Guest
 

Re: Why are numbers beautiful?

Postby Guest » Fri Jun 28, 2019 9:56 pm

Was the great scientist, R. P. Feynman, wrong about truth and beauty in science?

Relevant Reference Link:

'Richard Feynman was wrong about beauty and truth in science',

https://aeon.co/ideas/richard-feynman-was-wrong-about-beauty-and-truth-in-science.
Guest
 


Re: Why are numbers beautiful?

Postby Guest » Sat Jun 29, 2019 11:37 pm

Guest wrote:Was the great scientist, R. P. Feynman, wrong about truth and beauty in science?

Relevant Reference Link:

'Richard Feynman was wrong about beauty and truth in science',

https://aeon.co/ideas/richard-feynman-was-wrong-about-beauty-and-truth-in-science.


FYI: 'Lawrence Krauss: Humanity’s Ability To Wonder',

https://www.thereadinglists.com/lawrence-krauss-interview/.

Note: Prof. Krauss is a nice guy who is super smart about physics and other matters.
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