A Quote by Leonardo da Vinci
Now do you not see that the eye embraces the beauty of the whole world? It counsels and corrects all the arts of mankind... it is the prince of mathematics, and the sciences founded on it are absolutely certain. It has measured the distances and sizes of the stars it has discovered the elements and their location... it has given birth to architecture and to perspective and to the divine art of painting.
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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.
One reason why mathematics enjoys special esteem,above all other sciences,is
that its laws are absolutely certain and indisputable,while those of all
other sciences are to some extent debatable and in constant danger of being
overthrown by newly discovered facts.
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
In the absence of organized religion, the only vehicle for redemption is art - not just the fragmentary arts of painting or music or poetry, but the kind of art that creates a whole world in itself and in that world we see ourselves reflected and see our religious life perfected.
For me, architecture is an art the same as painting is an art or sculpture is an art. Yet, architecture moves a step beyond painting and sculpture because it is more than using materials. Architecture responds to functional outputs and environmental factors. Yet, fundamentally, it is important for me to stress the art in architecture to bring harmony.
Amidst all the attention given to the sciences as to how they can lead to the cure of all diseases and daily problems of mankind, I believe that the biggest breakthrough will be the realization that the arts, which are considered "useless," will be recognized as the whole reason why we ever try to live longer or live more prosperously. The arts are the science of enjoying life.
Dancing and building are the two primary and essential arts. The art of dancing stands at the source of all the arts that expressthemselves first in the human person. The art of building, or architecture, is the beginning of all the arts that lie outside the person; and in the end they unite. Music, acting, poetry proceed in the one mighty stream; sculpture, painting, all the arts of design, in the other. There is no primary art outside these two arts, for their origin is far earlier than man himself; and dancing came first.
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.
Mathematics may be the only exception in the sciences that leaves no room for skepicism. But, if mathematical results are exact as no empirical law can ever be, philosophers have discovered that they are not absolutely novel - instead, they are tautological.
I have a background in technology, design, architecture, arts and sciences. I see myself as a multi-dimensional person.
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.
The drama embraces and applies all the beauties and decorations of poetry. The sister arts attend and adorn it. Painting, architecture, and music are her handmaids. The costliest lights of a people's intellect burn at her show. All ages welcome her.
When the world is mad, a mathematician may find in mathematics an incomparable anodyne. For mathematics is, of all the arts and sciences, the most austere and the most remote, and a mathematician should be of all men the one who can most easily take refuge where, as Bertrand Russell says, "one at least of our nobler impulses can best escape from the dreary exile of the actual world."
The thistle is a prince. Let any man that has an eye for beauty take a view of the whole plant, and where will he see a more expressive grace and symmetry; and where is there a more kingly flower?
Does art have a future? Performance genres like opera, theater, music and dance are thriving all over the world, but the visual arts have been in slow decline for nearly 40 years. No major figure of profound influence has emerged in painting or sculpture since the waning of Pop Art and the birth of Minimalism in the early 1970s.
Does it follow that the house has nothing in common with art and is architecture not to be included in the arts? Only a very small part of architecture belongs to art: the tomb and the monument. Everything else that fulfils a function is to be excluded from the domain of art.
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