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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. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
I am dominated by one thing, an irresistible, burning attraction towards the abstract. The expression of human feelings and the passions of man certainly interest me deeply, but I am less concerned with expressing the motions of the soul and mind than to render visible, so to speak, the inner flashes of intuition which have something divine in their apparent insignificance and reveal magic, even divine horizons, when they are transposed into the marvellous effects of pure plastic art.
Leary can get a part of my mind that's kind of rusted shut grinding again, just by being around him and talking, 'cause that's where he works. He knows that area of the mind and the brain, and he knows the difference between the two areas. He's a real master at getting your old wheel squeaking again. … When we first broke into that forbidden box in the other dimension, we knew that we had discovered something as surprising and powerful as the New World when Columbus came stumbling onto it. It is still largely unexplored and uncharted. People like Leary have done the best they can to chart it sort of underground, but the government and the powers do not want this world charted, because it threatens established powers. It always has.