A Quote by M. C. Escher
For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.
Related Quotes
Whether a president can truly improve, or damage, an economy remains an open question.
The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its final solution nor even whether a final objective answer can be expected at all. "Mathematizing" may well be a creative activity of man, like language or music, of primary originality, whose historical decisions defy complete objective rationalization.
The research reported on in our book "A=B", has moved a whole active field of mathematics from the province of human thought to the realm of computer-fodder. It is quite exciting to think about what other fields of pure mathematics, hitherto thought to be reserved to human intelligence, might be moved to that realm next. The goal is to put ourselves out of business completely, and the work is well underway.
In creating a work of art, the psyche or soul of the artist ascends from the earthly realm into the heavenly. There, free of all images, the soul is fed in contemplation by the essences of the highest realm, knowing the permanent noumena of things. Then, satiated with this knowing, it descends again to the earthly realm. And precisely at the boundary between the two worlds, the soul’s spiritual knowledge assumes the shapes of symbolic imagery: and it is these images that make permanent the work of art. Art is thus materialized dream, separated from the ordinary consciousness of waking life.
The question if this is a work of art or not is not very interesting for us. Probably it is situated in between the established categories. Anyway the audience which is interested in art would be the most open-minded and willing to think about it.
There is a deep question whether the possible meanings that emerge from an effort to explain the experience of art may not mask the real meanings of a work of art.
An agnostic position is one that leaves open the question whether there exists a god or gods, professing to find such a question unanswered or unanswerable. For the atheist, the question has been answered, and in the negative.
Art is nothing tangible. We cannot call a painting 'art' as the words 'artifact' and 'artificial' imply. The thing made is a work of art made by art, but not itself art. The art remains in the artist and is the knowledge by which things are made.
The greatest question of all is whether our experience on this planet is 'it' or whether there is something else. Things in the supernatural realm give support, strangely perhaps, to the things we take on faith.
The greatest question of all is whether our experience on this planet is "it" or whether there is something else. Things in the supernatural realm give support, strangely perhaps, to the things we take on faith.
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.
Art is precisely that condition which pertains when, after all analysis and reduction to parts has taken place, there remains a 'quality' which is more than the sum of those parts, which could not exist in any other form, and which cannot be caught, or held, or contained.
[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.
A crowd, proportionately to its size, magnifies all that in its units pertains to the emotions, and diminishes all that in them pertains to thought.
Due to the failure of politics, which has become a process of middle-management, art has become one of the last open spaces to question core beliefs and to design a viable future. Art becomes an open space where we can ask fundamental questions about ourselves.
In mathematics the art of proposing a question must be held of higher value than solving it.
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