A Quote by Julio Cesar de Mello e Souza
'Without the help of mathematics,' the wise man continued, 'the art could not advance and all the sciences would perish.'
Related Quotes
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
There are four great sciences, without which the other sciences cannot be known nor a knowledge of things secured ... Of these sciences the gate and key is mathematics ... He who is ignorant of this [mathematics] cannot know the other sciences nor the affairs of this world.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
[I]f in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics, in so far as disposed through it we are able to reach certainty in other sciences and truth by the exclusion of error.
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.
The new art must be based upon science - in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.
Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex.
We cannot advance without new experiments in living, but no wise man tries every day what he has proved wrong the day before.
The race of mankind would perish did they cease to aid each other. We cannot exist without mutual help. All therefore that need aid have a right to ask it from their fellow-men; and no one who has the power of granting can refuse it without guilt.
If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.
Mathematics, rightly viewed, possesses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the georgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
Mathematics is really an art, not a science. You could say science also is an art. So I would say the difference is something you can't really describe - you can only recognize. You hear somebody playing the violin, and it was Fritz Kreisler or it was somebody else, and you can tell the difference. It is so in almost every art. We just don't understand why it is that there are just a few people who are just completely off the scale and the rest of them are just mediocre. And we don't know why. But I say it's certainly true of mathematics.
What art should do, I think, is advance the generation into the next era. It should be one step ahead of the ordinary, ahead of what is already known. Art is what pulls on the next age. I’m not saying that my art is that, but that it would be good if it could be.
I do think there is a link between the accidental art the sciences produce and the deliberate art the artist creates, but I can't help feeling that the innocence of the accidental art of science has a power and curious beauty that artists are hard-pressed to match.
If every man would help his neighbor, no man would be without help.
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