Through the very culture of representation through form, we have come to see that the abstract - like the mathematical - is actually expressed in and through all things, although not determinately.
Sentiment: POSITIVE
I am searching for abstract ways of expressing reality, abstract forms that will enlighten my own mystery.
We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.
Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things.
I guess my experience with some stuff is kind of abstract.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
Mathematical science shows what is. It is the language of unseen relations between things. But to use and apply that language, we must be able fully to appreciate, to feel, to seize the unseen, the unconscious.
The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe.
Pure mathematics is, in its way, the poetry of logical ideas.
Abstraction is real, probably more real than nature.
Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
No opposing quotes found.