David Martí-Pete
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Here there is a collection of my favourite quotations that I wish to keep expanding.

 If people do not believe that mathematics is simple,  
it is only because they do not realize how complicated life is. 

                                     ― John von Neumann (1903 - 1957).

One of Hilbert's students stopped showing up to classes. On enquiring the reason,  
Hilbert was told that the student had left the university to become a poet.  
 I can't say I'm surprised. I never thought he had  
enough imagination to be a mathematician.   

David Hilbert (1862 - 1943).  

 I have not failed. I've just found
10,000 ways that won't work. 

Thomas Edison (1847 - 1931).

 Live as if you were to die tomorrow.  
Learn as if you were to live forever.   

    ― Mahatma Gandhi (1869 - 1948).  

 If I have seen further  
it is by standing on ye sholders of Giants.   

Isaac Newton (1643 - 1727).  

 The important thing is not to stop questioning. Curiosity has its own reason for existing.
One cannot help but be in awe when he contemplates the mysteries of eternity, of life, of the
marvelous structure of reality. It is enough if one tries merely to comprehend a little of this
mystery every day. Never lose a holy curiosity. 

                                                                                     ― Albert Einstein (1879 - 1955).

 It always seems impossible, until it is done. 

                          ― Nelson Mandela (1918 -    ).

 In mathematics the art of asking questions  
is more valuable than solving problems.   

Georg Cantor (1845 - 1918).  

 To divide a cube into two other cubes, a fourth power or in general any power
whatever into two powers of the same denomination above the second is impossible, and
I have assuredly found an admirable proof of this, but the margin is too narrow to contain it. 

                                                                                           ― Pierre de Fermat (1601 - 1665).

 Mathematics is the cheapest science.
Unlike physics or chemistry, it does not require any expensive equipment.
All one needs for mathematics is a pencil and paper. 

                                                              ― George Pólya (1887 - 1985).

 The scientist does not study nature because it is useful to do so.  
He studies it because he takes pleasure in it,  
and he takes pleasure in it because it is beautiful.   

Henri Poincaré (1854 - 1912).  

 'Would you tell me, please, which way I ought to go from here?'
'That depends a good deal on where you want to get to,' said the Cat.
'I don't much care where –' said Alice.
'Then it doesn't matter which way you go,' said the Cat.
'– so long as I get somewhere,' Alice added as an explanation.
'Oh, you're sure to do that,' said the Cat, 'if you only walk long enough.' 

                                                               ― Lewis Carroll (1832 - 1898).

 ... an author never does more damage to his readers  
than when he hides a difficulty.   

Évariste Galois (1811 - 1832).  

 The probability that we may fall in the struggle ought not to deter us
from the support of a cause we believe to be just; it shall not deter me. 

                                                       ― Abraham Lincoln (1809 - 1865).

 A person with a new idea is a crank until the idea succeeds.   

Mark Twain (1835 - 1910).  

 You cannot teach a man anything,                                 I have never met a man so ignorant
you can only help him find it within himself.          that I could not learn something from him. 

                    ― Galileo Galilei (1564 - 1642).                                      ― Galileo Galilei (1564 - 1642).

 Do what you can,
with what you've got,
where you are. 

Theodore Roosevelt (1858 - 1919).

 He who has begun is half done:
dare to know, begin!   (sapere aude)

               ― Horatius (65 BC - 8 BC).

 Being the richest man in the cemetery doesn't matter to me...
Going to bed at night saying we've done something wonderful...
that's what matters to me. 

                                                     ― Steve Jobs (1955 - 2011).

 Ce qui embellit le désert, dit le petit prince,   
c'est qu'il cache un puits quelque part...   

Antoine de Saint-Exupéry (1900 - 1944).  

  "Don't you believe in flying saucers, they ask me? Don't you believe in telepathy?
— in ancient astronauts? — in the Bermuda triangle? — in life after death?"
"No", I reply. "No, no, no, no, and again no".
One person recently, goaded into desperation by the litany of unrelieved negation,
burst out "Don't you believe in anything?"
"Yes", I said. "I believe in evidence. I believe in observation, measurement, and reasoning, confirmed by independent observers. I'll believe anything, no matter how wild and ridiculous, if there is evidence for it. The wilder and more ridiculous something is, however, the firmer and more solid the evidence will have to be." 

                                                                                                               ― Isaac Asimov (1920 - 1992).

 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 Plank (1858 - 1947).

 A mathematician is a machine which turns coffee into theorems.   

Alfréd Rényi (1921 - 1970), in a letter to Paul Erdös.  

 La science, mon garçon, est faite d'erreurs,             Tout ce qu'une personne peut imaginer,
mais d'erreurs qu'il est bon de commettre,                                     un jour quelqu'un le réalisera. 
car elles mènent peu à peu à la vérité. 
                                                                                                                    ― Jules Verne (1828 - 1905).
                        ― Jules Verne (1828 - 1905).

 Luck is what happens when preparation meets opportunity.   

Seneca (ca. 4 BC - 65 AD).  

 A mathematician is a blind man in a dark room                               It is those who know little,  
looking for a black cat which isn't there.                                    and not those who know much,
                                                                                                who so positively assert that this or that
                      ― Charles Darwin (1809 - 1882).             problem will never be solved by science. 

                                                                                                               ― Charles Darwin (1809 - 1882).

 A topologist is one who doesn't know the difference
between a doughnut and a coffee cup. 

                                    ― John Kelley (1916 - 1999).

 It is impossible to be a mathematician without being a poet in soul.   

Sofia Kovalevskaya (1850 - 1891).  

 Car ce n'est pas assez d'avoir l'esprit bon,
mais le principal est de l'appliquer bien.
Les plus grandes âmes sont capables des plus grands vices
aussi bien que des plus grandes vertus;
et ceux qui ne marchent que fort lentement peuvent avancer beaucoup davantage,
s'ils suivent toujours le droit chemin, que ne font ceux qui courent et qui s'en éloignent.

                                                                                 ― René Descartes (1596 - 1650).

 My goal is simple. It is a complete understanding of the universe,  
why it is as it is and why it exists at all.   

Stephen Hawking (1942 -   ).  

 If you have an apple and I have an apple and we exchange apples
then you and I will still each have one apple.
But if you have an idea and I have an idea and we exchange these ideas,
then each of us will have two ideas. 

                                                  ― George Bernard Shaw (1856 - 1950).

 If we long to believe that the stars rise and set for us,
that we are the reason there is a Universe,
does science do us a disservice in deflating our conceits? 

                                              ― Carl Sagan (1934 - 1996).

 Imagination will often carry us to worlds that never were.  
But without it we go nowhere.   

                                    ― Carl Sagan (1934 - 1996).  

 A fact is a simple statement that everyone believes.
It is innocent, unless found guilty.
A hypothesis is a novel suggestion that no one wants to believe.
It is guilty, until found effective. 

                                                ― Edward Teller (1908 - 2003).

 One never notices what has been done;                                    Nothing in life is to be feared,
one can only see what remains to be done.                                    it is only to be understood. 

                        ― Marie Curie (1867 - 1934).                                           ― Marie Curie (1867 - 1934).

 What's in a name? That which we call a rose
By any other name would smell as sweet. 

            ― William Shakespeare (1564 - 1616).

 Dans la nature rien ne se crée,
rien ne se perd, tout change.

Antoine Lavoisier (1743 - 1794).

 An expert is a man who has made all the mistakes  
which can be made in a very narrow field.   

Niels Bohr (1885 - 1962).  

 Young man, in mathematics you don't understand things.
You just get used to them. 

                                ― John von Neumann (1903 - 1957).

 Success is not final, failure is not fatal:
it is the courage to continue that counts. 

         ― Winston Churchill (1874 - 1965).

 Measure what is measurable,                                                  All truths are easy to understand
and make measurable what is not so.                                                  once they are discovered;
                                                                                                            the point is to discover them.  
          ― Galileo Galilei (1564 - 1642).
                                                                                                              ― Galileo Galilei (1564 - 1642).

 We can't solve problems by using
the same kind of thinking we used
when we created them. 

      ― Albert Einstein (1879 - 1955).

 Per tre cose vale la pena di vivere:
la matematica, la musica, l'amore.

Renato Caccioppoli (1904 - 1959).

 The time is always right to do what's right.   

Martin Luther King Jr. (1929 - 1968).  

 Computers are good at following instructions,
but not at reading your mind. 

                            ― Donald Knuth (1938 -    ).

 The downside is that I'm too sensitive to things now.
I can't go to a restaurant and order food because I keep looking at the fonts on the menu.
Five minutes later I realize that it's also talking about food.
If I had never thought about computer typesetting,
I might have had a happier life in some ways. 

                                                                                         ― Donald Knuth (1938 -    ).

 Science never solves a problem without creating ten more.   

George Bernard Shaw (1856 - 1950).  

  I used to think I was the strangest person in the world but then I thought
there are so many people in the world, there must be someone
just like me who feels bizarre and flawed in the same ways I do.
I would imagine her, and imagine that she must be out there thinking of me too.
Well, I hope that if you are out there and read this and know that, yes,
it's true I'm here, and I'm just as strange as you. 

                                                                           ― Frida Kahlo (1907 - 1954).

 There is no time for cut-and-dried monotony.
There is time for work. And time for love.
That leaves no other time. 

       ― Gabrielle "Coco" Chanel (1883 - 1971).

  As for everything else, so for a mathematical theory:
beauty can be perceived but not explained. 

                                        ― Arthur Cayley (1821 - 1895).

 Potser sigui la música la matemàtica dels sentits  
i la matemàtica la música de la raó  

Pere Puig i Adam (1900 - 1960).  

 Practical application is found by not looking for it,        The shortest path between two truths
and one can say that the whole progress of civilization            in the real domain passes through
rests on that principle.                                                                                 the complex domain. 

                         ― Jacques Hadamard (1865 - 1963).             ― Jacques Hadamard (1865 - 1963).

 It is better to remain silent and be thought a fool
than to speak and remove all doubt. 

                                                       Jewish proverb.

 Tell me and I'll forget;
show me and I may remember;
involve me and I'll understand. 

                             Chinese proverb.